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Université catholique de Louvain Département des Sciences Economiques Thèse présentée en vue de l’obtention du grade de Docteur en Sciences Economiques Real Business Cycle Models of the Great Depression Luca Pensieroso Juin 2007 Composition du jury: Michel De Vroey (Université catholique de Louvain) (directeur) David de la Croix (Université cahtolique de Louvain) Franck Portier (Université des Sciences Sociales Toulouse 1) Henri Sneessens (Université catholique de Louvain) Raf Wouters (Banque Nationale de Belgique) i Ai miei genitori. ii Acknowledgements Eventually, five years after I first arrived in Louvain-la-Neuve, I see the end of my graduate studies. With them, a period of my life comes to the end, while a new one, whose story is still to be written, is already on the horizon. Before drawing the final line, it is time to thank all the people that made this achievement possible. My first thought goes to my supervisor, Michel De Vroey. He believed in me since I was a Master student. Tough but fair, he taught me to question my certainties, often to discover that they were more based on ideological a-priori than on purely rational basis. He has been the best supervisor I could ever wish. I would like to thank the other members of the Jury, David de la Croix, Franck Portier, Henri Sneessens and Raf Wouters for their interesting remarks on this thesis. Their suggestions resulted in appreciable improvements of this work. The Department of Economics of the Catholic University of Louvain is an ideal working place, where the rigour of scientific research meets with the pleasure of an informal and lively ambience. I would like to thank all the professors, the staff and the students for their precious daily cooperation. A special thank goes to Raouf Boucekkine and David de la Croix. They were ready to fund a young Italian economist with a heterodox background, showing a laudable open-mindedness, and trusting his capabilities as researcher. I hope to have been able to pay them back with the valuable research they expected from me. Part of this work was carried out at the GREMAQ - University of Toulouse iv 1. I would like to thank Franck Portier for inviting me, and Aude Schloesing for the excellent organization of my visiting. Matteo Bassi, Sara Biancini, Wolfgang Heisen and Dörte Klaus, among others, made my staying in Toulouse enjoyable. The story of a PhD thesis is also a story of days (and nights) spent on apparently unsurmountable problems. If I have not got depressed, it also because I could count on the support of many colleagues, or friends, as I should say. My memory goes to the days of the Master, at the Saturdaynight dinners organized by Augusta Badriotti; to the countless (and endless) discussions of economic theory, methodology and policy with Gabriele Cardullo, Mario Denni, Giulio Nicoletti and Alessandro Sommacal; to the unforgettable “olehh!” said by Cecilia Vergari; to the nights spent on Game Theory with Alessandro, secretely waiting for the phone calls of our respective girlfriends to give us a pause; to the 19-hours non-stop immersion in Business Cycle Theory with Mario before the Macro II exam; to the “Mundialito” football-tournament, where the Italian Master students showed their taste for epics with their “Belli Masteronzi” team, lead by their captain Oscar Amerighi . . . Other faces, other places, other names cross my mind, all equally important, just too many to mention them all: Anna Batyra, Mauro Bambi, Carmen Camacho, Gianfranco Casanova, Gül Ertan, Filomena Garcia, Antonio Minniti, Giordano Mion, Andrea Silvestrini, Marie Vander Donckt, Benteng Zou. . . Thank to all of you, guys, from the deepest of my heart. When you leave your country and go abroad for several years, you would like the hypothesis of ceteris paribus to hold at home. This is not always the case. But it was so for my best friends ever: David, Francesca and Antonello. Grazie, ragazzi. Dulcis in fundo, the final lines are for my family. To my sister Barbara goes a big thank for her joie de vivre, for all those chats that had the incredible property of making me feel better, no matter how hard were the times. My fiancée Alessandra has been the love, joy and support of my life for all these long years. To her goes my love and my deepest gratitude. Finally, I have always thought that I own to my parents much of what I am today. This work is dedicated to them, to the memory of my father, and to the love and care of my mother. Preface When I started this project, my orientation towards this new trend in the literature was admittedly rather critical. I had the feeling that RBC authors had gone too far. One thing is to apply dynamic optimization and the equilibrium method to the mild post-war business cycles. A completely different thing ought to be the analysis of the Great Depression, an event characterized by pervasive political and financial turmoils, with evident disruptions in the exchange system. Isn’t that to commit a hybris sin, I asked myself? If this was my mood at the start of this work, I have been gradually realizing that things were more complex than that. Modelization had its own advantages, often allowing to assess the quantitative contribution of existent competing explanations. The crude and aseptic data analysis provided for by RBC authors shed new lights on the event, reminding us that even statements that are apparently obvious need to be proved. Indeed, in the process of proving them, it often happens to realize that those statement were not so obvious, after all. In one word, the application of the RBC methodology to the analysis of the Great Depression put a renewed accent on the discipline-aspect of the theory, which consists in forcing the economist to take into account the general equilibrium effects of any supposed explanation of the Great Depression. Moreover, the fact of building models geared towards quantitative assessments makes results open to direct contest, which is not immediately the case for narrative historical accounts. On the other hand, I keep on thinking that too narrow a focus on the modeling aspect is often detrimental to the general understanding of the phenomenon. Models are built on exclusions, as economists focus their vi analyses on those aspects deemed to be crucial. Other aspects, which may be important as well, are often overlooked, not least for the sake of analytical tractability. Here is where history matters. Having “the broad picture” in mind may indeed help to be cautious in deriving implications from economic models. To conclude, using a metaphor from Alan Blinder,1 I still think that the explanation of complex economic facts like the Great Depression of the 1930s is as much an art as it is a science. What I have learned in those years spent working on the Great Depression is that while practising the dark art, science is rather useful. 1 See Blinder (1997), p. 17 Contents 1 Introduction 2 A Critical Survey 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Assumptions and methodology . . . . . . . . . . . . . . . . . 2.2.1 Assumptions . . . . . . . . . . . . . . . . . . . . . . . 2.2.2 Dating the Depression . . . . . . . . . . . . . . . . . . 2.2.3 Methodology . . . . . . . . . . . . . . . . . . . . . . . 2.2.4 The “normality view”: history and economics . . . . 2.2.5 The national dimension of the phenomenon . . . . . 2.3 The US Great Depression . . . . . . . . . . . . . . . . . . . . . 2.3.1 Cole, Ohanian and Prescott on the Great Depression 2.3.2 Other RBC models of the Great Depression . . . . . . 2.3.3 A sunspots neoclassical interpretation of the US Great Depression . . . . . . . . . . . . . . . . . . . . . . . . . 2.4 Great Depressions worldwide . . . . . . . . . . . . . . . . . . 2.4.1 The critique of the “consensus view” . . . . . . . . . 2.4.2 Case studies . . . . . . . . . . . . . . . . . . . . . . . . 2.5 A critical perspective . . . . . . . . . . . . . . . . . . . . . . . 2.6 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 5 7 7 8 9 10 11 12 14 23 The Abandonment of the Abstentionist Viewpoint 3.1 Introduction . . . . . . . . . . . . . . . . . . . . 3.2 Lucas on the Great Depression . . . . . . . . . 3.2.1 The Lucas and Rapping (1969) paper . . 3.2.2 Rees’s criticism . . . . . . . . . . . . . . 49 49 50 50 51 3 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 32 32 34 40 45 viii 3.3 3.4 3.5 3.6 3.7 3.8 4 CONTENTS 3.2.3 Lucas’s reaction . . . . . . . . . . . . . . . . . . . . . . 3.2.4 Lucas’s subsequent standpoint . . . . . . . . . . . . . Prescott on the Great Depression . . . . . . . . . . . . . . . . 3.3.1 Prescott’s early view . . . . . . . . . . . . . . . . . . . 3.3.2 Prescott’s present standpoint . . . . . . . . . . . . . . Explaining Prescott’s change of mind . . . . . . . . . . . . . . Cole and Ohanian on the US Great Depression . . . . . . . . An assessment . . . . . . . . . . . . . . . . . . . . . . . . . . . 3.6.1 The originality of Cole and Ohanian’s analysis . . . . 3.6.2 One or several great depressions? . . . . . . . . . . . 3.6.3 Contrasting the approaches of equilibrium macroeconomics and economic history to the Great Depression . . . . . . . . . . . . . . . . . . . . . . . . . . . . Lucas after Cole and Ohanian . . . . . . . . . . . . . . . . . . Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . The Belgian Great Depression 4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . 4.2 A look at the data . . . . . . . . . . . . . . . . . . . . . . 4.3 History of interwar Belgium . . . . . . . . . . . . . . . . 4.3.1 1920-1926 . . . . . . . . . . . . . . . . . . . . . . 4.3.2 1926-1930 . . . . . . . . . . . . . . . . . . . . . . 4.3.3 1930-1935 . . . . . . . . . . . . . . . . . . . . . . 4.3.4 1935-1939 . . . . . . . . . . . . . . . . . . . . . . 4.4 The Data through the lens of the theory . . . . . . . . . 4.4.1 Detrending . . . . . . . . . . . . . . . . . . . . . 4.4.2 Total factor productivity . . . . . . . . . . . . . . 4.5 A baseline RBC model of the Belgian Great Depression 4.5.1 The model . . . . . . . . . . . . . . . . . . . . . . 4.5.2 Calibration . . . . . . . . . . . . . . . . . . . . . . 4.5.3 Simulation . . . . . . . . . . . . . . . . . . . . . . 4.5.4 Comments on the results . . . . . . . . . . . . . 4.6 War expectations and investments . . . . . . . . . . . . 4.7 Money and sticky wages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 53 55 55 56 59 60 65 65 68 70 74 75 77 77 79 85 85 87 88 89 89 89 91 92 92 94 94 97 98 102 CONTENTS 4.7.1 The model . . . . . . . . . . . 4.7.2 Calibration . . . . . . . . . . . 4.7.3 Simulation . . . . . . . . . . . 4.7.4 Comments on the results . . 4.7.5 Asymmetric wage rigidity . . 4.7.6 TFP shocks and sticky wages 4.8 A small-open-economy RBC model . 4.8.1 The model . . . . . . . . . . . 4.8.2 Calibration and simulation . 4.8.3 Extension: shocks on r∗ . . . 4.9 Conclusions . . . . . . . . . . . . . . 4.10 Appendix: Data . . . . . . . . . . . . 5 ix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 108 111 112 116 126 126 127 132 136 137 139 Prospects for Future Research 5.1 The Belgian case: an open-economy perspective . . . . . . . 5.2 Involuntary unemployment and the Great Depression . . . . 5.3 Expectations and the recovery from the US Great Depression 145 145 146 148 Bibliography 153 List of Figures 165 List of Tables 169 x CONTENTS Chapter 1 Introduction To understand the Great Depression is the Holy Grail of macroeconomics (Bernanke (1995), p. 1). So far, for all the bravery of the knights, the quest has proved to be challenging, and the task is not yet fully attained. In the span of almost eighty years, several theories claimed to have clinched the matter. Inexorably, each time that claim proved to be wrong, or partial at least. Each time new theoretical developments, or new data successfully challenged the dominant story. What is more, each time the change in the perspective under which the economists looked at the Depression signaled a shift in the dominant paradigm in macroeconomics. This thesis deals with a new stage of the quest. Few years after Eichengreen (1992)’s synthesis between the Keynesian and monetarist explanations was believed to have provided the final word on the Depression history, Harold Cole and Lee Ohanian brought it all up for discussion. In daring to face the Great Depression by means of a full-fledged neoclassical model in the real business cycle (RBC) tradition, they broke what was perceived by many authors as a taboo (Prescott (2002)): for the first time in the history of macroeconomics, an analytical neoclassical model entered the battlefield of the Great Depression, once considered a theme defying any equilibrium explanation. What is new about the RBC explanation of the Great Depression? Are we witnessing the setting of a new dominant paradigm in macroeconomics? How did the paradigm need to 2 Introduction be emended in the endeavour to tackle the Depression issue? This thesis elucidates the fundamentals of RBC modeling on the Great Depression; investigates its origin back in the history of the new classical revolution; provides some critical thought on its whereabouts; presents the analysis of the Belgian case through the lens of RBC theory. As it is natural for the questions at stake, this work is on the border line between history of theory and economics. The first two chapters are more on the history side. Chapter 2 critically reviews the RBC interpretation of the Great Depression, clarifying its theoretical and methodological foundations, and paving the way for an assessment of its contribution. The focus of the chapter is on the outstanding methodological innovation brought about by the attempt to cast the Great Depression within an “equilibrium” framework. While such an attempt deserves to be hailed, many problematic issues are put to the fore. What does total factor productivity (TFP) means in historic accounts? How reliable are linearized models to grasp output decreases as important as those observed during the 1930s? Could economic theory do without a causative perspective, and be content with the ability to mimic a given set of data, in tackling historical issues like the Great Depression? These and other questions are singled out in the chapter.1 Chapter 3, which is coauthored with Michel De Vroey, documents and assesses the reversal of opinion by new classical macroeconomists about the ability of their methodology to explain the Great Depression. We show that in the 1970s and 1980s Lucas and Prescott took an abstentionist stance. They maintained that, because of its exceptional character, an explanation of the Great Depression was beyond the grasp of the equilibrium approach to the business cycle. However, while Lucas stuck to this view, Prescott changed his mind at the end of the 1990s, breaking his earlier self-imposed restraint. We argue that such a reversal of opinion has been made possible by the progressive evolution of RBC theory in the last decades, from a strictly Walrasian framework to a general method of analysis that encompasses also non-Walrasian features, like imperfect competition and price 1 A slightly modified version of this chapter was published in the Journal of Economic Surveys, 21, 110-142. 3 stickiness. In this chapter we also produce a first assessment of RBC models of the Great Depression. We claim that the fact of having constructed an equilibrium model of the Great Depression constitutes a methodological breakthrough. However, as far as substance is concerned, we argue that the contribution of real business cycle literature on the Great Depression is slim, and does not gain the upper hand over the work of economic historians.2 If the first two chapters are more on the history side, chapter 4 is definitely on the economics side. This chapter casts the Belgian Great Depression of the 1930s within a dynamic stochastic general equilibrium (DSGE) framework. After a brief detour in the data and history of the interwar Belgium, I show that a TFP shock within a standard RBC model gives unsatisfactory results. Given the enormous drop in investments, and the international political environment of the time, I investigate whether fears of the outbreak of a war could play a role in accounting for the Depression, particularly for what concerns its protracted character. The exercise shows that this is not likely the case, as introducing war expectations in the baseline model produces little improvement. Simple growth accounting suggests that the onset of the Great Depression is almost entirely accounted for by a big drop in hours worked. This observation, together with the data on nominal and real wages and the evidence on monetary turbulence put forward by historians, lead me to explore the performance of a DSGE model with sticky wages à la Taylor and monetary shocks. Results confirms that high real wages due to a sudden big deflation might have been the transmission mechanism explaining the onset of the Great Depression in Belgium. However, the model fails to account for the absence of recovery after the 1935 devaluation, a failure it shares with all the other model considered in this chapter. In view of the peculiar small-open-economy characteristic of Belgium, the chapter concludes with a first extension to the open-economy dimension, though with no appreciable gain in terms of explanatory power. 2 A slightly modified version of this chapter was published in Contributions to Macroeconomics, 6, issue 1, article 13. 4 Introduction Chapter 2 A Critical Survey 2.1 Introduction The Great Depression of the 1930s was undoubtedly the most important economic crisis ever witnessed in the twentieth century. Its extension and duration convinced several contemporary observers that it might well signal the approaching collapse of the capitalist production system. The Great Depression plays an outstanding role in the history of ideas. Keynes’s General Theory, in effect, dates to 1936, and the Great Depression unquestionably paved the way for Keynes’s work. The Keynesian approach to economic theory concentrates on the concept of market failure, as opposed to the classical laissez faire theory. Consequently, in the eyes of most contemporary observers, the experience of the Great Depression seemed to confirm the correctness of Keynes’s intuition, that, in the short run at least, a capitalist economy does not gravitate towards full employment. The Keynesian approach to economics remained the mainstream theory until the end of the 1960s, when it was first challenged by Friedman and the monetarists, and subsequently replaced by new classical macroeconomics. The new theory is an “equilibrium” business cycle theory, meaning that the analysis is cast in a Walrasian framework, and grounded on individual rational choices. The main message of this new trend in economic literature, with respect to the history of economic thought, is that there is no need to resort to any market failure idea 6 A Critical Survey in order to provide a thorough explanation of the business cycle. A properly defined neoclassical model can provide a plausible explanation of the phenomenon. Nevertheless, even after the Keynesian model had lost its predominance and been replaced by new classical macroeconomics, the Great Depression still appeared to be an example of market failure, whose causes were mainly attributed to the complex social and institutional situation after World War I (Kindleberger (1973); Eichengreen (1992)), and whose end could be ascribed to the intervention of public authorities (Romer (1992); Vernon (1994). New classical macroeconomists themselves considered the Great Depression a phenomenon somehow beyond the reach of equilibrium theory. In particular, Lucas, whose distinctive contribution to economic theory consists of having stated that all cycles were alike and could be studied as equilibrium phenomena (Lucas (1977)), wrote: The Great Depression. . . remains a formidable barrier to a completely unbending application of the view that business cycles are all alike. (Lucas, 1980, p. 273) If the Depression continues, in some respects, to defy explanation by existing economic analysis (as I believe it does), perhaps it is gradually succumbing under the Law of Large Numbers. (Lucas (1980) p. 284) However, at the end of the 1990s, attempts to overcome this limitation saw the light of day: a new interpretation of the Great Depression, which tried to explain it within a real business cycle (RBC)1 framework, began to 1 Throughout this article, I will use the epithets RBC and New Classical as synonymous. The focus here is on the methodological aspect of tackling the Great Depression within a neoclassical equilibrium framework. In view of this methodological focus, the distinction between real or monetary shocks is less important than the general method of analysis. This is also the reason why I do not make any a priori distinction between RBC and Dynamic Stochastic General Equilibrium (DSGE) models (DSGE being the most recent label adopted in the literature to denote such models). I will, however, refer to a similar distinction when discussing a specific methodological aspect, namely whether the models considered are or are not involved in causal perspectives. Preference is given to the RBC nomenclature. 2.2 Assumptions and methodology 7 gain ground. Instead of viewing the Great Depression as a phenomenon lying beyond the grasp of the equilibrium discipline, authors working in this direction believe that the new classical methodology and theory might be able to tackle it. The aim of this paper is to present a critical review of this RBC interpretation of the Great Depression, by singling out its theoretical and methodological foundations. The paper will be organized as follows. In Section 2.2, I will explain some methodological premises for the application of RBC theory to the Great Depression. In Sections 2.3 and 2.4, a review of existing RBC papers about the US and international Great Depressions will be presented. Section 2.5 provides some critical remarks, and indicates guidelines for future research, while Section 2.6 summarizes the argument. 2.2 2.2.1 Assumptions and methodology Assumptions The distinctive feature of RBC theory is its attempt to explain cyclical fluctuations of income and employment by two fundamental hypotheses: the “equilibrium hypothesis” and the “exogenous shock hypothesis”. The “equilibrium hypothesis” is the postulate that an economic cycle can be studied as an equilibrium phenomenon, or, in other words, that it can be studied in a framework postulating market clearing and agents’ optimizing behaviour (Lucas (1977)). Under this assumption, business cycles are the aggregate result of the optimum response of individuals to changes in the economic environment (Hartley, Hoover, and Salyer (1997)). I will label as “exogenous shock hypothesis” the assumption that the source of any economic cycle is exogenous to the growth process. In an RBC perspective, the economic cycle is conceived as a stochastic oscillation around a trend. Such a trend is determined by savings, demography and technology, as in Solow (1956).2 This hypothesis characterizes the con2 For surveys of the RBC literature see, inter alia, Hartley, Hoover, and Salyer (1997), Mankiw (1989), Plosser (1989), Ryan (2002) and Stadler (1994). 8 A Critical Survey ception of economic cycles within the RBC framework as being due to exogenous shocks to the fundamentals of an economic system, as opposed to theories in which fluctuations are endogenous or to “animal-spirit” driven theories, in which fluctuations result from the indeterminacy of the longrun growth path. This conception of economic cycles has important implications for the definition of depressions. Researchers in the RBC tradition define a depression as a period in which the rate of growth of the economy is suddenly and significantly below that which it would have been if the exogenous random shock that hit the economy had never occurred. As to the notion of a Great Depression, Kehoe and Prescott (2002) consider, as a “working definition”, that a recession is a Great Depression if output falls cumulatively by more than 20% with respect to its trend level, dropping by more than 15% in the first decade of the depression. These numbers serve to give a quantitative definition of the borderline between a business cycle, and a business cycle that has become a Great Depression. Of course they contain a good dose of arbitrariness, and although they may be reasonable, no theoretical meaning should be attributed to them.3 2.2.2 Dating the Depression It might be thought that the dating of the Depression would be an issue on which consensus existed, but this is not the case. As a matter of fact RBC theorists have changed the general way of thinking on this issue. Traditionally, economists tended to consider the Great Depression as starting with the stock market crash of 1929, and ending with the election of Roosevelt in 1933 (Robbins (1934); Friedman and Schwartz (1963); Temin 3 Moreover, these definitions produce some odd results. Kehoe and Prescott (2002) argue that Switzerland has been experiencing a Great Depression since 1973, on the grounds that detrended output per person of working age fell by more than 30% between 1973 and 2000, with a decline of more than 18% between 1973 and 1983. Anyone can witness, however, that life in Switzerland in the last 30 years has had very little in common with life in the USA during the 1930s! 2.2 Assumptions and methodology 9 (1989); Eichengreen (1992)).4 However in an RBC interpretation, the Great Depression is defined as covering the entire decade of the 1930s. This results from the definition of a Great Depression given above: US de-trended output dropped more than 35% in 4 years, while in 1939 it was nearly 27% below its 1929 de-trended level (Cole and Ohanian (1999)). As Prescott (1999) points out, this change in the timing of the event shifts the nature of the central question to be addressed from “Why was there such a big decline in output and employment between 1929 and 1933?” to “Why did the economy remain so depressed for the entire decade?” In other words, according to RBC theoreticians, a new issue should be added to the “traditional” question of what caused the Great Depression, namely, “What explains the slowness of the recovery phase?” 2.2.3 Methodology As to methodology, RBC theorists tread in Lucas’s footsteps by arguing that the central purpose of a theory of the economic cycle is to make the artificial, modelled economy reproduce the actual behaviour of a real-world economy (Lucas (1980)). Elucidating the origin of a particular cycle is perceived as secondary. The logic of this methodological premise must be traced back to the fundamental hypotheses we have singled out. If any economic cycle starts with an exogenous shock, studying the specific characteristic of this shock serves little purpose for the task of elaborating a general theory of the business cycle. It is much more important to understand the regularities that will ensue after the shock occurs. RBC theoreticians build models in the Solow–Ramsey tradition, modified to allow for stochastic shocks that hit the economy at random. Any 4 Here I refer to the dating of the event called the “Great Depression”, not to the dating of its alleged causes. In effect, many of the authors quoted in the text consider the causes of the Great Depression to be rooted in events that occurred well before 1929. Eichengreen (1992) and Friedman and Schwartz (1963) are examples. An exception to this general tendency to date the Great Depression between 1929 and 1933 is Galbraith (1995), who criticises this idea from a post-Keynesian point of view, asserting that the Great Depression never ended, but was swept away by the outbreak of the Second World War. 10 A Critical Survey stochastic shock of this nature is called an “impulse mechanism” of the business cycle. The typical impulse mechanism considered in standard RBC models is a technological shock, represented as an autoregressive stochastic shock on the total factor productivity (TFP). TFP is a parameter of the production function, which embodies a broad concept of efficiency in combining inputs to obtain output.5 Having defined the impulse mechanism of the business cycle, RBC theoreticians compute the equilibrium reaction to the impulse mechanism. That is, they study the qualitative and quantitative response of the model economy to the random shock, on the basis of the set of relationships postulated by the model that allows them to identify a “propagation mechanism” for the shock. Such a propagation mechanism is standard in all the models reviewed here, and is typically based on both the intertemporal substitution in leisure and consumption, and the intratemporal substitution between labour and leisure. This simulation technique requires the model to be calibrated, that is, a numerical value must be assigned to each parameter on the basis of econometric estimates, or, if reliable econometric data are absent, on the basis of economic plausibility. If the perturbed model economy “reproduces” aggregate fluctuations reasonably well, it can be considered as a plausible theory of the cycle. That is, the ability of an artificial model to reproduce a set of stylized facts after being hit by an exogenous random shock is the methodological litmus test by which the robustness of the theory is judged. 2.2.4 The “normality view”: history and economics RBC’s methodological premises have important implications for the analysis of historical events such as the Great Depression. In the RBC approach, economic theory and economic history are perceived as pertaining to different, though possibly complementary, realms. Economic theory, as stated above, is concerned with regular co-movements in the behaviour of economic variables. Economic history, on the contrary, is a different 5 Solow (1957). See Hulten (2000) for a review of TFP. 2.2 Assumptions and methodology 11 branch of social science, naturally inclined towards considering singularities. In this way, a specific event is amenable to economic theory if, during that event, economic variables co-moved as predicted by the theory. If, however, the event is peculiar, it should simply be left to historians, and considered beyond the grasp of economic theory. Once this consequence of their methodological assumptions is spelt out, the breaking of the earlier limit to equilibrium theory assumes new connotations. To all intents and purposes, it amounts to considering the Great Depression as a business cycle, possibly of greater than usual magnitude; the alternative view is that the Great Depression was a singularity. That is, in assuming that the Great Depression is amenable to RBC theory and method, these authors implicitly assume that during the Great Depression economic aggregates behaved as in any other business cycle, although with greater variance in their oscillation. In this paper, I will refer to this implicit assumption as the “normality view”. 2.2.5 The national dimension of the phenomenon The RBC interpretation of the Great Depression differs from previous interpretations in the role assigned to the international political and economic environment during the 1930s. While earlier leading authors (Kindleberger (1973); Eichengreen (1992); Bernanke (1995)) stressed the international dimension of the Great Depression, and went so far as to say that a full understanding of that phenomenon could not be reached without considering the international dimension, RBC researchers reversed this position by concentrating their analysis on isolated country studies. Several reasons for this change of perspective may be given: • The first work on the Great Depression from an RBC perspective is the paper by Cole and Ohanian (1999), which is strictly concerned with the Great Depression in the USA. Data prove that the Great Depression hit harder in the USA than in other industrialized countries; output fell relatively more, and the state of depression of the economy lasted longer than in any other country. This evidence persuaded the authors to assume that the shock that affected the US 12 A Critical Survey economy must have been far bigger than the shocks that affected other economies and, in addition, that the slowness of the US recovery was probably due to some idiosyncratic shock, since other countries recovered earlier. Moreover, the USA is notoriously an almost closed economy as far as international trade is concerned. Consequently, a national dimension appeared to them sufficient to analyse the US Great Depression.6 • From a methodological point of view, the mathematical formalization that is typical of RBC research forces the economist to leave out many aspects of reality in order to concentrate on the aspects that are considered essential. Given that RBC models explain recessions by means of a shift in the labour-demand schedule (Mankiw (1989)), exogenous shocks to TFP (i.e. exogenous variations in the Solow residual) are an easy way to reproduce such a shift, while keeping the model sufficiently compact. This implies that the international dimension need not be the main focus of the analysis. 2.3 The US Great Depression RBC models of the US Great Depression can be split into two classes. The first includes Cole and Ohanian (1999), Cole and Ohanian (2000), Cole and Ohanian (2004) and Prescott (1999). In this interpretation, the explanation of the plunge of the early thirties (that is, the historical identification of the shock that caused the Great Depression) is considered methodologically less interesting than the explanation of its long duration (that is, why the Great Depression did not behave in the same way as business cycles observed in the post-war period). The causes of the productive collapse of the USA economy in the 1930s are mostly traced back to some exogenous supply shock, embodied for simplicity in a parameter of the pro6 This is also the position held by Romer (1993). Although working from a different basis, she argues that the Great Depression in the US was due to a mixture of bad monetary policy and aggregate demand shocks, both with idiosyncratic characteristics specific to the American case. 2.3 The US Great Depression 13 duction function (TFP). As for the protracted character of the depression, these models charge New Deal policies with having been responsible for it. These policies produced substantial distortions in the economy, thus impeding the otherwise inevitable recovery. The second class of models includes all the other RBC papers on the Great Depression. These models are more interested in the traditional question of what caused the Great Depression. To this end, they resort to a variety of variables (monetary shocks and sticky wages in Bordo, Erceg, and Evans (2000); preference for liquidity in Christiano, Motto, and Rostagno (2004); exogenous demand shocks in Weder (2006)). As to the long duration of the Great Depression, all these authors accept the implications of the “normality view”: either the Great Depression would have been a normal business cycle of greater magnitude had distorting State interventions been absent (Bordo, Erceg, and Evans (2000); Christiano, Motto, and Rostagno (2004)); or the Great Depression was a normal business cycle of great magnitude that lasted a long time because the shock producing the cycle was extremely long lasting (Weder (2006)). Other papers exist, the classification of which under the RBC label is more uncertain. Sunspots models are a case at hand.7 In sunspots models, there is multiplicity of equilibria. Business cycles are defined as the economy’s swinging from one equilibrium to the next. Such swinging 7 In the taxonomy adopted here, it is doubtful whether this last class of models should be included in the RBC category. First, expectation shocks are neither exogenous nor endogenous, in the sense that their nature is ambiguous. On the one hand, the very concept of “animal spirits” suggests that variations in expectations should be considered as an exogenous shock. On the other hand, it defies credulity to assume that people form expectations without looking at reality, or framing it in some causal perspective, i.e. in a model. In this sense, the shock must be at least partially endogenous. Secondly, be that as it may, by definition expectation shocks are not shocks to the fundamentals of the economy, which we have assumed to be a distinctive feature of RBC theory. The counterargument that leads me to include sunspots models in my taxonomy of RBC is that they are “equilibrium” models à la Lucas, they use the Slutzky intuition of business cycles as summation of random shocks, and they distinguish between the impulse and transmission mechanisms of the business cycle. Being unable to choose whether or not to include sunspots models in the RBC category, I have decided to include at least one of them for the sake of completeness. 14 A Critical Survey movements are determined by self-fulfilling (rational) expectations. The Great Depression appears as a demand-driven phenomenon arising from people’s unexplained, though plausible, pessimistic behaviour. I will review one paper in this tradition, that by Harrison and Weder (2002), in a separate subsection. 2.3.1 Cole, Ohanian and Prescott on the Great Depression The RBC interpretation of the US Great Depression stems from the work of two leading authors, Harold Cole and Lee Ohanian. Initially, they focused on the standard issue of explaining the origins of the Great Depression. This inquiry led to a rather frustrating result. Neither the standard RBC story of technological shocks, nor other standard real and monetary factors, could properly account for both the observed magnitude and the long duration of the Great Depression. Cole and Ohanian soon turned their attention to the protracted character of the Great Depression, a theme that eventually proved more congenial to RBC methodology and theory. The distorting elements of some New Deal policies helped to explain why the economy remained depressed for so long. This position has been authoritatively espoused by Prescott, who, in a short comment article in 1999, gave a clear picture of the basic elements of the RBC interpretation of the Great Depression. As it is representative of the whole of this stream of literature, I will start by discussing Prescott’s paper, and turn my attention to Cole and Ohanian’s article in a second step. Prescott’s assessment According to Prescott (1999), the RBC interpretation of the US Great Depression consists of two building blocks. First, some of the exogenous factors usually described in terms of shocks to TFP caused a strong recession at the end of 1929. Second, misconceived economic policies, attempting to improve the disastrous economic performance of that time, impeded the normal adjustment of market forces. These policies introduced strong distorting elements into the US economy: by increasing de jure the real wage 2.3 The US Great Depression 15 rate, they lowered the normal employment level and the growth path. In Prescott’s words: In the Great Depression, employment was not low because investment was low. Employment and investment were low because labour market institutions and industrial policies changed in a way that lowered normal employment. (Prescott (1999), p. 27) The interest of Prescott’s comment is that it highlights the basic elements of the RBC methodology, which I have spelt out in Section 2.2. A dividing line is drawn between the realm of history, which includes the historical identification of shocks, and the realm of economics, which studies the propagation mechanism of the business cycle. In Prescott’s methodological approach, the origin of a shock (i.e. the concrete historical determination of the impulse mechanism of the business cycle) is outside the scope of economics. What is more puzzling for an economist is the explanation of the slowness of the recovery. By sticking to this view, Prescott reduces the explanation of the Great Depression to the explanation of the 1934–1939 episode. The following quotation illustrates this point. The fundamental difference between the Great Depression and business cycles is that market hours did not return to normal during the Great Depression. Rather, market hours fell and stayed low. In the 1930s, labor market institutions and industrial policy actions changed normal market hours. I think these institutions and actions are what caused the Great Depression. (Prescott (1999), p. 27) The point is that this method of analysis might make sense, from a theoretical point of view, when the development of a general theory of the business cycle is considered. In that case, the theory can conceivably be more concerned with the regularities of the business cycle (that is, in how a business cycle arises from an exogenous shock) than in studying the peculiarities of each particular shock. However, things should be different when a specific event, such as the Great Depression, is analysed. 16 A Critical Survey In that case, explaining the Great Depression must be tantamount to explaining both its onset and its long duration. By sticking to the “normality view”, and trying to cast the Great Depression within the RBC framework, Prescott is led instead to overlook a priori any explanation of the plunge of the early 1930s, a standpoint which is not acceptable from an historic point of view. All the more so in that, as shown by Ohanian (2002), in the specific case of the Great Depression, the exogenous shock required to reproduce the data is abnormally large (the next Section illustrates this point). It is important to make the point that at least this abnormal dimension deserves more detailed historical analysis. Cole and Ohanian on the onset of the Great Depression Cole and Ohanian’s early work was mainly negative, consisting of showing that, when closely scrutinized, earlier explanations of the Great Depression are unsatisfactory. In their 1999 paper, they started by describing the behaviour of the main detrended macroeconomic aggregates during the decade 1929–1939; subsequently, they tried to identify, from among the many different explanations in the literature purporting to explain business cycles, the models that best fit these data. Cole and Ohanian (1999) found that stochastic shocks to the growth rate of the TFP could explain roughly 40% of the 1929–1932 drop in output. They obtained this result by taking a suitable specification of the model, and feeding in the observed level of TFP as a measure of technological shock. An interesting point, highlighted by Ohanian (2002), is that the drop in measured TFP during the Great Depression, although not sufficient to reproduce in the model the magnitude of the decline in output, was still relatively high when compared with the drops in measured TFP that have normally accompanied recessions in the post-World War II period. This feature means that the behaviour of the TFP during the 1930s was peculiar, for reasons still to be elucidated (see Ohanian (2002) for further discussion). Alternative “real” explanations, such as shocks to international trade, public expenditure and distorting taxes, are presumed to have had a lesser 2.3 The US Great Depression 17 impact, if any, on the crisis. For international trade, Cole and Ohanian (1999) note that the United States was at that time a relatively closed economy. Moreover, the presence of tariffs suggests that US imports might have had a high elasticity of substitution with domestic intermediate goods. Consequently, international trade disruptions had no appreciable or enduring negative effects on the US Great Depression. As to public expenditure, Cole and Ohanian (1999) report data showing that detrended public expenditure in the USA remained above the trend level during almost the entire decade. So a negative crowding-out effect of public expenditure has to be dismissed. As far as taxes are concerned, Cole and Ohanian (1999) ran two further simulations using data on the average marginal tax rates on factors’ income: the first with the 1929 average tax level, and the second with the 1939 average tax level. In the second simulation the steady-state level of labour input was 4% lower than in the first. The authors therefore concluded that negative fiscal policy shocks did not have appreciable effects on the 1929–1933 crisis, but that they can explain some 20% of the weak 1934–1939 recovery. “Monetary” shocks, financial disruptions and nominal rigidities are also considered to have had little impact on the Great Depression. Cole and Ohanian (2000) reviewed the main mechanisms identified by economists to explain possible real effects of monetary policy during the 1930s, namely the Lucas and Rapping (1969) unexpected deflation model, the debt deflation model of Fisher (1933), the sticky-wage hypothesis and theories centred on the role of banking disruptions induced by deflation (Bernanke (1983)). By comparing deflation in 1929–1933 to that in 1920–1921, the authors first excluded Lucas and Rapping’s and then Fisher’s hypotheses.8 8 Their objection to the first theory is that deflation was more widely anticipated in the 1930s than in the 1920s because the nominal interest rate was lower during the 1930s. This weakens Lucas and Rapping (1969)’s propagation mechanism, which is based on unexpected deflation. As to Fisher (1933)’s debt deflation model, they note that, although the level of private debt as a proportion of output was higher in 1929 than in 1920, output dropped more sharply during the 1930s than during the 1920s, despite deflation being less severe. Prices went down by 19.4% in 1920–1922 and by 11.5% in 1929–1931, whereas detrended real income dropped by 3.8% in the 1920–1922 and by 22.4% in the 1929–1931 period. See Cole and Ohanian (2000), p. 6, Table 3. 18 A Critical Survey To test the sticky-wage hypothesis, Cole and Ohanian (2000) built a two macrosector general equilibrium model, in which a final good is produced by means of two different types of intermediate goods. Each intermediate good is produced by means of capital and labour. There are two sectors producing intermediate goods: one, n, is a competitive sector, with wages set at the market-clearing level; the other, m, is a noncompetitive sector, where wages are fixed above the market-clearing level. Both sectors use the same constant returns to scale Cobb–Douglas technology. The final goods sector uses a constant elasticity of substitution (CES) technology. Both capital and labour are assumed to be immobile. The preferences of the representative household are specified through a logarithmic utility function. The household can allocate its working time between the two sectors, and it is assumed that wage fixity in the noncompetitive sector is perceived as a nonrecurring phenomenon (i.e. the model assumes that each wage shock occurring in any of the Depression years is completely unexpected).9 The model was calibrated using, as far as possible, standard values from the RBC literature for the parameters. A calibration for the model-specific parameters is also provided. The values of these parameters were chosen by considering the manufacturing sector as the empirical counterpart of the noncompetitive sector in the model. Running two simulations, one with a benchmark model without nominal wage rigidities, and the other with the model as described above, and comparing their results with the data, Cole and Ohanian conclude: These results suggest that the high wage was not the primary cause of the Great Depression . . . This wage accounts for about a 3 per cent decline in output at the trough of the Great Depression, compared to an actual 38 per cent decline. Increasing the size of the distorted sector to 50 per cent, or reducing the substitution elasticity to 0,1 did not significantly change the result. (Cole and Ohanian (2000), p. 20)10 9 This is a technical assumption needed in order to be able to compute the equilibrium in the simulation recursively. 10 The economic rationale for this result is as follows. In this two-sector model, wage 2.3 The US Great Depression 19 Cole and Ohanian (2000) also exclude the possibility that wages might be significantly underestimated, and argue that in fact the contrary is likely to be true. Referring to Margo (1993), they assert that wages were probably also well below the trend line in the manufacturing sector, because of the compositional bias in favour of high-skilled workers that affected the US economy in the 1930s.11 As to the analysis of banking shocks, Cole and Ohanian (2000) first defined banking shocks as bank closures affecting the information capital. Then they built a model in which information capital was used by banks as input, together with deposits, to obtain a “banking output”. This banking output appears, in the end, as an input to the production of the final good. Both these productive processes are assumed to be constant returns to scale. This model is built so that, in each sector, the ratio of inputs to outputs is equal for all inputs. Consequently, the loss of information capital relative to output due to bank closures is equal to the fraction of deposits on output loss due to bank closures. As the US data reported by Cole and Ohanian (1999) show this to have been pretty low during the rigidity has both a direct and an indirect effect on employment. In the distorted sector, m, firms employ labour up to the point where the marginal product of labour equates to the real wage. Because, by definition, the real wage in this sector is above the market-clearing level, production in the distorted sector will be below its potential level. It follows that part of the labour force potentially employable in the distorted sector will remain unemployed. Such a direct effect is clearly negative. To understand the indirect effect, it is worth considering that output in the distorted sector is an input in the production of the final good. Cole and Ohanian (2000) assume that technology is such that Ym and Yn are imperfect complements in the production of the final good, rather than substitutes. This means that, as Ym diminishes, its relative scarcity will increase, and so will its relative demand. Firms cannot substitute Yn for Ym beyond a certain level. Thus ppm , the relative n price of the distorted sector, must increase. According to the authors, this means that, m given a monetary wage wm , the real wage wpm will decrease. In other words, the real wage will decrease in spite of the nominal rigidity, thus producing an upward shift in the value of the marginal product of labour (i.e. the marginal product of labour multiplied by the price of output schedule). Thus the indirect effect would tend to counteract the direct one. 11 This point is actually controversial. For instance, Bordo, Erceg, and Evans (2000) argue that data at the industrial level suggest that there was no significant skill composition bias. 20 A Critical Survey Great Depression, the authors conclude that, because the loss of information capital was also low during the Great Depression, it only affected the economy slightly. Cole and Ohanian on the long duration of the Great Depression According to standard RBC theory, the Great Depression should have ended much earlier than it actually did. Once the effects of the TFP negative shock were exhausted, the economy should have returned to its steadystate growth path. In Cole and Ohanian (1999)’s simulations, output would have recovered to its trend level by 1936, if the measured shocks to TFP in the 1930s had been the sole impulse mechanism for the economic cycle. The TFP returned to its trend level that year. However, detrended data show that in 1939 output was still a good 25% below its trend level. This observation led Cole and Ohanian (1999) to argue that the Great Depression was not only the result of a temporary shock that caused a fluctuation around the trend-growth path, but was also rather the outcome of a mixture of a temporary shock and some permanent shocks that caused the growth path itself to shift downwards. At the end of their paper, Cole and Ohanian (1999) suggest that a likely culprit could be the New Deal policies introduced after 1933. While this line of research is only alluded to in Cole and Ohanian (1999)’s paper, the link between New Deal policies and the Great Depression is the central object of their subsequent research (see Cole and Ohanian (2004) and an earlier and more detailed working paper version, Cole and Ohanian (2001)). Their basic claim is that New Deal competition and labour market policies are to blame for the duration of the Great Depression. In particular, they consider two important reforms: the National Industrial Recovery Act (NIRA),12 and the National Labour Relations Act 12 The NIRA was enacted in 1933 and declared unconstitutional by the Supreme Court in 1935. The act aimed to ensure that all sectors were covered by “codes of fair competition”, which would put an end to substantial price deflation and increase workers’ income, so promoting greater consumption expenditure. The NIRA also suspended antitrust laws, and encouraged cooperation between firms, and collusion in price setting; it heavily discouraged price competition, requiring administrative approval for price cuts. 2.3 The US Great Depression 21 (NLRA).13 These measures had a relatively high coverage in the economy: about 52% of total employment was in sectors covered by the NIRA, while this figure reached 77% in the private nonfarm sector (Cole and Ohanian (2001), p. 67, Table 2). Cole and Ohanian (2004) present a model to show that the rise in prices and wages actually curbed the recovery in production, rather than boosting it (as Roosevelt’s economic advisers thought it would).14 The model is explicitly oversimplified insofar as it assumes NIRA and NLRA to be the same thing, and does not consider the effects of other New Deal policies. This is done in order to predict output for the whole 1934–1939 period more easily. The codes, though different for each sector, had to be negotiated under the guidance of the National Recovery Administration, and required the approval of the President. Cole and Ohanian (2001) stress that Roosevelt’s political inclinations, as well as the deep conviction of his advisers that an increase in prices and nominal wages would be the best way to counteract the Depression, led him to guarantee approval to those codes that included collective bargaining over wages, and minimum wages for low-skilled workers. 13 The NLRA was enacted in 1935, and its constitutionality was upheld by the Supreme Court in 1937. It gave workers the right to organize themselves into trade unions independent of their employers; it prohibited discrimination based on union affiliation, as well as coercive enrolment in companies’ unions. The Act also established a National Labour Relations Board (NLRB), which had the authority to guarantee the legal enforcement of wage agreements. 14 It is very interesting to note that the view that the NIRA policy probably had a negative impact is not the prerogative of RBC theory. J.M. Keynes, in an open letter to Roosevelt published in The New York Times in 1933, expressed his disagreement with this policy as a means of producing a recovery. He argued that the fact that an increase in prices and monetary wages generally characterizes the recovery periods does not mean that it causes the recovery to happen. So, in Keynes’s view, the US administration had confused causes with effects. In Keynes’s opinion the NIRA was probably an obstacle to recovery, because it increased the costs of production, whereas the appropriate measure for ending the recession was a policy of large government expenditure, financed by long-term public debt, together with a monetary policy that fixed low nominal interest rates. Keynes’s diagnosis was that people were not spending money, and that this was causing the cumulative deflation that resulted in depression. To restart a virtuous circle of development, people had to be induced to spend. If this were not possible, a good surrogate for the missing private expenditure would be government expenditure. In the end, the increase in the aggregate demand would generate an increase in the general level of prices. 22 A Critical Survey The benchmark specification of the model is a multisector version of a standard real business cycle model, in which a final good in period t is produced using a variety of intermediate goods. These intermediate goods are produced by different industries, each belonging to a sector. All the production technologies exhibit constant returns to scale. Labour is assumed to be perfectly mobile across industries and sectors, whereas capital is considered sector-specific. Households are supposed to maximize a logarithmic utility function in which labour is assumed to be indivisible. To model New Deal policies in this setup, Cole and Ohanian (2004) modified the model in three ways. First, they assumed that, in the economy, a fraction χ of the sectors producing intermediate goods forms a cartel. In these sectors there is, therefore, a rent to be shared between workers and firms arising from the monopolistic extra profits. Second, they assumed that, as a consequence, wages in these cartelized sectors are the result of bargaining between workers and firms; the relative bargaining power of the two parties is embodied in a parameter ω that gives the probability of a firm gaining monopolistic extra profits without accepting workers’ wage demands. The cartelized sector behaves in the same way in an “insider–outsider” model, where all insider workers are paid the same wage. Third, Cole and Ohanian assumed that there are frictions in the labour market, which allow for flows of workers between the competitive and the cartelized sectors. Considering that jobs in the cartelized sectors are better paid, workers prefer to move to these sectors rather than to similar jobs in the competitive sectors. A search process for these jobs therefore ensues. These three modifications were intended to emphasize the characteristic of the New Deal policies that Cole and Ohanian consider essential: a connection between collective bargaining (allowing de facto for the greater bargaining power of unions and workers) and price control by cartelized firms. They also reproduce the “equal pay for equal work” principle, a cornerstone of union policy in the 1930s. Calibrating and simulating their model, Cole and Ohanian fed in the sequence of observed TFPs as measures of technological shocks, and compared the results of the cartel modification with the competitive benchmark, both relatively and in terms of 2.3 The US Great Depression 23 reproducing the actual data. Their main result was that cartelization caused a greater drop in output the greater the bargaining power of workers, i.e. the lower the calibrated value for the parameter ω, and, ceteris paribus, the higher χ (the share of the economy involved in such a policy). However, the effects of varying ω were much larger than those induced by variation in χ; as Cole and Ohanian observe: The key depressing element of the policy is not monopoly per se, but rather the link between wage bargaining and monopoly. (Cole and Ohanian, 2004, p. 805) As far as a comparison with the actual data is concerned, while the competitive model failed to reproduce the observed trend of economic aggregates during the recovery, the cartel model made predictions that were considerably closer to the facts. On the basis of the figures obtained, Cole and Ohanian (2004) argue that the cartel model is able to explain a good 60% of the slow recovery. The rationale for this result is that the negative effects of higher wages and lower production propagated from the cartelized sectors to the competitive sectors, insofar as the reduced output in the cartelized sectors tended to lower wages and employment in the competitive sectors where, moreover, people were looking for better paid jobs in the cartelized sectors. So, they conclude, . . . New Deal labor and industrial policies did not lift the economy out of the Great Depression. . . Instead, the joint policies of increasing labor’s bargaining power, and linking collusion with paying high wages, prevented a normal recovery by creating rents and an inefficient insider–outsider friction that raised wages significantly and restricted employment. (Cole and Ohanian (2004), p. 813) 2.3.2 Other RBC models of the Great Depression The debate about sticky wages Cole and Ohanian (2000)’s conclusion that sticky wages were irrelevant 24 A Critical Survey in accounting for the onset of the US Great Depression is far from uncontroversial. Empirical evidence on cross-sectional international data (presented by Eichengreen and Sachs (1985)) suggests that currency-devaluating countries experienced relatively lower real wages and higher industrial production, a finding consistent with the sticky-wage hypothesis.15 On the other hand, Christiano, Motto, and Rostagno (2004) point out that . . . There just does not seem to be a tight negative relationship between the real wage on the one hand, and output and employment on the other. (Christiano, Motto, and Rostagno (2004), p. 11) This point is also debated theoretically among RBC authors. Bordo, Erceg, and Evans (2001) and Gertler (2001) argue that Cole and Ohanian (2000)’s result follows from the unjustified assumption of perfect wage flexibility in the non-manufacturing sector. As Gertler (2001) points out, this model excludes nominal wage rigidity by definition, and thus excludes the decrease in the aggregate demand for labour that is necessary if the sticky-wage hypothesis is to produce real effects. Moreover, Bordo, Erceg, and Evans (2001) emphasize that there is no justification for this choice, either theoretically or empirically, because it is based on a questionable extension of the wage flexibility observed in the farming sector to the whole non-manufacturing sector. According to Bordo, Erceg, and Evans (2001), imposing noncompetitive wages in the non-manufacturing sector – even lower, perhaps, than the manufacturing sector’s wages – completely reverses Cole and Ohanian (2000) results. In an earlier article, Bordo, Erceg, and Evans (2000) showed that the sticky-wage hypothesis could provide an explanation of the onset of the Great Depression within an RBC framework. They built a simple onesector real business cycle model with monetary shocks and fixed wages à la Taylor (1980). Running a simulation on this model, they found that it could “explain” approximately 70% of the 1929–1932 drop in output, a 15 Expansionary monetary policy generates price inflation; provided that nominal wages are rigid, real wages will go down. This will produce an increase in labour demand and hence in output. 2.3 The US Great Depression 25 result in sharp contrast to Cole and Ohanian’s result. However, Bordo, Erceg, and Evans (2000) admitted that their results clearly show that on its own the sticky-wage hypothesis can account neither for the recovery phase of the US Great Depression (characterized by a strong monetary expansion (Romer (1992)), nor for the final year of the recession, 1932–1933. According to them, some financial disruption of the kind envisaged by Bernanke (1983) might have been responsible for the crisis in the final year. They suggest a more detailed explanation for the recovery phase, built on Cole and Ohanian (1999)’s early suggestion about the possible distorting role of New Deal policies. In particular, they focused (as Cole and Ohanian did a year later) on the NIRA. Bordo, Erceg, and Evans (2000) then modified the process of wage formation in their model by splitting it into two processes: a Taylor setting, for the period 1929:3–1933:2;16 and a level of wages fixed to their 1933:2 level later on. This modified model shows that As long as real wages were legislatively mandated at levels well above the marginal product of labour that would prevail at full employment, monetary expansion alone could not lead to recovery. (Bordo, Erceg, and Evans (2000), p. 1461) Christiano, Motto, and Rostagno (2004) A further development in the application of RBC methodology to the Great Depression is the recent work by Christiano, Motto, and Rostagno (2004). This paper attempts to build a “realistic” dynamic stochastic general equilibrium model able to tackle contemporary policy questions. The authors consider the US Great Depression as the toughest possible test for such a model. Christiano, Motto, and Rostagno (2004)’s main conclusion is that while the Great Depression was certainly the result of many joint shocks, it is mainly attributable to two factors: a “preference for liquidity shock” (which induced a shift away from demand deposit towards money, thus in large part causing the onset of the depression); and the increased market power of workers during the New Deal (which explains why, during 16 Quarterly data are used here. 26 A Critical Survey the recovery phase, employment was still so low, thereby shedding some light on why the recovery phase itself was so slow). These results are obtained by means of a very complex RBC model. Its basic structure is as follows. It is assumed that a final good Yt is produced by a perfectly competitive representative firm, using a number of intermediate goods Yj,t . These intermediate goods are produced by monopolists who set their prices Pj,t subject to Calvo (1983)-style friction. The intermediate-good firms need labour lj,t and capital Kj,t for their productive activity. They buy working hours from households, paying a wage rate Wt . They rent capital from entrepreneurs, paying a rental price of capital P rtk for capital services. Moreover, each intermediate-good firm must finance in advance fractions ψk and ψl of capital and labour services, respectively. They do this by asking for loans from banks, and paying a net interest rate of Rt . Entrepreneurs buy capital x from capital producers, paying for it at the price Qk̄0 ,t . In order to pay these amounts they use their net worth Nt and they borrow Bt = Qk̄0 ,t − Nt from banks, paying a gross interest rate Zt . At the end of the period, they sell the undepreciated capital back to capital producers, at the same price Qk̄0 ,t . Entrepreneurs can be bankrupted during each period with a probability 1 − γt , which also represents the fraction of the new entrepreneurs entering the market during each period. Capital producers produce units of new capital good x0 by means of previously installed capital x and investment goods It . They buy investment goods from the final-good sector, paying them Pt . Banks use capital and labour to “produce” their services and hoard reserves. They buy working time ltb from households, and rent capital Ktb from entrepreneurs, paying Wt and P rtk , respectively. They hold demand deposits Dtf and Dth from firms and households, respectively, paying them an interest rate of Rta . They also hold time deposits, Tt , from households, which pay a e non-state-contingent expected rate of return Rt+1 . Finally, households consume an amount Ct of the final good, paying Pt per unit; they hold highpowered money M b ; they pay lump-sum transfers to entrepreneurs, in order to guarantee free entry to entrepreneurship and they receive lumpsum transfers corresponding to the net worth of entrepreneurs leaving the 2.3 The US Great Depression 27 economy. Households are modeled as maximizing a complex utility function encompassing, inter alia, habit persistence, shocks to the preference for leisure and shocks to liquidity preference. Households are assumed to be able to exert some monopoly power over labour, so that they set wages within a Calvo contract setting. There is also a non-modeled Government, which buys Gt unit of the final good, at the price of Pt per unit. Next, Christiano, Motto, and Rostagno (2004) introduce eight exogenous shocks and study their joint and individual impact on the model, comparing their outcomes with data for the US Great Depression. These shocks affect the monopoly power of intermediate-good firms, the monopoly power of wage earners, households’ preference for currency versus demand for deposits, the preference for liquidity, productivity shocks for intermediate goods, the survival probability of the entrepreneur, the relative value of excess reserves in the banking sector and the willingness of entrepreneurs to take risks. These shocks are drawn from stochastic processes, and estimated with a maximum likelihood procedure. Christiano, Motto, and Rostagno (2004) assume that the shocks influence the rate of growth of money, because of the monetary authority reaction function. After having estimated all the parameters and calibrated the model, Christiano, Motto, and Rostagno (2004) ran a simulation, including estimated values for the shocks. They found that their model reproduced key features of the data properly. As anticipated at the beginning of this section, they also found that two shocks are crucial in explaining the Great Depression in the United States: preference for liquidity and workers’ market power. While workers’ market power resembles the traditional high-wages story, which we have discussed above, the preference for liquidity deserves some further explanation. An exogenous shock to the preference for liquidity leads to a decrease in the ratio between demand Dh deposits and money demand, Mtt , in consumption and in time deposits. The aggregate M1 falls, causing the interest rates to increase. The higher interest rates cause an increase in the debt burden and a decrease in the rental price of capital,17 leading to a higher probability of bankruptcy for 17 Because consumption demand decreases. 28 A Critical Survey entrepreneurs. As a consequence, entrepreneurs drop their demand for capital goods, and so capital-goods producers lower their level of production. Their prices, therefore, go down. The fall in the price of capital worsens the drop in investments, because it causes the net worth of entrepreneurs to diminish. At the end of the paper, Christiano, Motto, and Rostagno (2004) modeled a counterfactual example in which the monetary authority actively reacts against the shocks, allowing the growth rate in the monetary base to overcompensate for the reduction due to the eight shocks. This led them to argue that, had an appreciably more expansive monetary policy been in place in the 1930s, the size and duration of the Great Depression would have been much less. Weder The last papers to be considered in this section are both by Weder, who has produced two accounts of the same idea (Weder (2001); Weder (2006)). The two papers share the same model, but differ in the narrative part, which is much more developed in the earlier one. I will mostly refer to the more recent (2006) paper, while occasionally referring to the earlier (2001) paper. In these papers, a dynamic stochastic general equilibrium model of the RBC type is modified to allow exogenous shocks to the aggregate demand for consumption to be the only impulse mechanism of the business cycle. The aim is to evaluate the impact of the consumption shock on the Great Depression quantitatively, by simulating the model. As for the methodological concern, the model is in the RBC tradition. Nevertheless, it has a clearly Keynesian flavour, all the more so in that Weder (2001) defines his model as an RBC formalization of Temin (1976)’s view of the Great Depression as a phenomenon mainly caused by a contraction of the autonomous components of aggregate demand for consumption. In Weder’s model, households are thought of as maximizing a logarithmic utility function with a random variable affecting the subsistence level of consumption. The model also includes variable capital utilization, “organizational synergies” and increasing returns to scale in the production 2.3 The US Great Depression 29 function. Weder (2006) identifies the preference shifter econometrically.18 He calibrates his model, largely on the basis of Cole and Ohanian (1999), and runs a simulation. It turns out that the model with increasing returns matches the trend in US output, “explaining” around 59% of the collapse, and almost all of the slow recovery and the 1937–1938 recession. An interesting point, which is developed in Weder’s (2001) paper but abandoned in the drier (2006) one, is the explicit comparison between Weder’s model and the competitive and cartel models discussed by Cole and Ohanian (2001). Weder (2001) points out that his model can mimic the onset of the Great Depression as well as the slowness of the recovery (reproducing about 80% of the variance in the data correctly), whereas Cole and Ohanian (2001)’s competitive model can explain only about 40% of the onset of the depression, and very little of the recovery phase. Moreover, Cole and Ohanian (2001)’s cartel model can only explain 50–60% of the recovery phase. In addition, Weder argues that his model can reproduce the 1937 recession, which other models cannot. To investigate further which model “explains” the data in a statistically more appropriate way, Weder (2001) runs a regression of actual US output on the “predicted” output of three models (his own, Cole and Ohanian (2001)’s competitive model and Cole and Ohanian (2001)’s cartel model). He finds that the predictions of his model are statistically more significant than those of the other two. When output from his model is added to the regression, the other two lose any explanatory power, meaning that the null hypothesis (that they do not explain US output at all) cannot be rejected. When only the recovery period is considered, the “explanatory” powers of his model and Cole and Ohanian’s cartel model are equally statistically significant. For both models the null hypothesis is rejected at 1% significance level, with regression coefficients of 0.57 and 0.41 for the cartel 18 Weder first derives a Euler equation from the first-order conditions for the household’s utility maximization problem. He then linearizes the Euler equation, taking a Taylor approximation of it. Finally he uses ordinary least squares to regress the formula he obtained on the data, and takes the residual from the regression as the preference shifter. The dynamic process of this preference shifter is then found econometrically to ˆ t = ξ1 ∆ ˆ t−1 + ξ2 ∆ ˆ t−2 + dt . Weder (2006) be second-order autoregressive, of the kind ∆ c dt 1939 uses this AR(2) to compute a shock series { c }1930 from the data. 30 A Critical Survey and the demand-driven model, respectively. Weder (2001) concludes that: Judging the overall performance, the demand-driven model fares at least as good [sic] as its considered contenders. (Weder (2001), p. 18) 2.3.3 A sunspots neoclassical interpretation of the US Great Depression All the models reviewed above fit the definition of RBC models developed in Section 2.2, in that they respect the equilibrium discipline, and business cycles are assumed to arise from exogenous shocks to the fundamentals. A slightly different approach to the Great Depression was proposed by Harrison and Weder (2002). In this paper the authors stuck to the equilibrium hypothesis, but business cycles were assumed to be driven by animal spirits (or sunspots), i.e. self-fulfilling expectations not related to the fundamentals of the economy. This model is a variation on Weder (2001)’s theme. Instead of assuming an exogenous shock to preferences, and setting parameters to solve the dynamics for a saddle path, Harrison and Weder (2002) set the parameters so as to allow for bubbles. The possibility of animal-spirit-driven business cycles arose in their model because they assumed sufficiently increasing returns to scale to ensure the existence of multiple equilibria. A high degree of increasing returns to scale actually ensures that optimistic or pessimistic expectations will be self-fulfilling. Consumers will move savings accordingly, labour supply will shift and capital utilization will vary. Variations in capital utilization will mean variations in labour demand up to the new equilibrium, at which point expectations will actually have been fulfilled. Harrison and Weder (2002) identified non-fundamental shocks to the “degree of confidence” by means of a vector auto-regression (VAR) model. They assume that the interest rate spread between high-risk and low-risk bonds is a reasonable proxy for the degree of confidence. Running two alternative versions of the VAR, plus a Granger causality test, they claim 2.3 The US Great Depression 31 that residuals from the VAR specification, in which the spread of interest rates is the “most exogenous” shock to the system, do Granger-cause output.19 Subsequently, they used the sunspot shock series generated by this procedure to compute the output, consumption, investment and productivity series implied by the model. The findings fit the data well. Provided the increasing returns to scale are large “enough”, the model reproduces stylized facts better than Cole and Ohanian’s competing models. Both the sharpness of the downturn and the slowness of the recovery are accounted for by sunspots shocks. Moreover, Harrison and Weder’s model reproduces the 1937–1938 recession, which all the other models fail to do. These results led them to give the following account of the Great Depression: The 1929 stock market crash was followed for about a year by what appeared to be the start of a normal recession. Only later, during the summer of 1930, did confidence began to deteriorate dramatically. Hence the recession was transformed into a depression. In 1932, faith in the economy hit bottom; and the continuing sequence of pessimistic animal spirits are a prime candidate in the quest to explain the subsequent stagnation that only ended with the onset of World War II. (Harrison and Weder, 2002, p. 26) Extending the analysis, Harrison and Weder tested their model over a longer period starting from the end of Great Depression and ending in 2000. Results in this case were poor. They concluded that demand shocks [that is sunspots] were either less important or smaller in the postwar period or were partially neutralized by active fiscal and monetary policies. (Harrison and Weder, 2002, p. 25) 19 In the sense that the null hypothesis that the residuals do not Granger-cause output is rejected at a confidence level between 5% and 2%, depending on whether 4 or 8 lags are used (Harrison and Weder (2002), Table 3, p. 17) 32 2.4 A Critical Survey Great Depressions worldwide The RBC interpretation of the Great Depression outside the USA is made up of two elements. The first is a critique of what RBC theorists call the “consensus view”,20 stressing the role of deflation and nominal wage stickiness in the diffusion of the depression from the USA to the rest of the world. The basic idea of the “consensus view” is that adherence to the gold exchange system induced restrictive monetary and fiscal policies in the presence of serious deficits in the balance of trade, or in order to avoid them. These policies are normally deflationary, and deflation causes unemployment, unless nominal wages decrease. The second element is a case-study analysis of a number of countries, applying an identical methodology and theoretical setup to each country. These studies, it is claimed, demonstrate that idiosyncratic shocks to TFPs and countryspecific economic policies provide a fairly good explanation for the Great Depression in each country, without any reference to an international dimension. 2.4.1 The critique of the “consensus view” The arguments presented by Cole, Ohanian, and Leung (2005) for rejecting the “consensus view” are empirical and mainly based on the signs of the correlations between log deviations from the trend-lines of real wages and output, and prices and output. According to these authors, if the “consensus view” were right, there should be a positive correlation between the rates of growth of prices and real output, and a negative correlation between the rates of growth of real wages and real output. In other words, pinning things down to a traditional labour supply and demand graph, we should observe an upward and leftward movement along the labour demand schedule, with increasing real wages and decreasing employment. Studying cross-sectional data on 17 OECD countries, Cole, Ohanian, and Leung (2005) noted that when regressions were performed on the 20 The term “consensus view” is used by Cole, Ohanian, and Leung (2005) to refer to papers by Bernanke (1995), Bernanke and Carey (1996) and Eichengreen and Sachs (1985). 2.4 Great Depressions worldwide 33 cross-sectional averages for 1929–1932, the correlation between the log deviations of prices and real output turned out to be slightly negative, while the correlation between the log deviations of real wages and real output was moderately positive. This observation led them to conclude that the cause of the international Great Depression could not be sought in a movement along the labour demand curve, but rather should be found in a movement of the labour demand curve. To model this hypothesis, they considered an RBC model with money à la Lucas. In this model, the economy can be hit by two shocks: a monetary shock, causing a movement along the labour demand curve, and a productivity (TFP) shock which shifts the labour demand curve. Cole et al. calibrated the parameters of the model so that the two shocks taken together reproduced the data set as exactly as possible. They then tried to work out, for different orthogonalizations21 of the two shocks, how much of the movement of the total quantities during the Great Depression could be explained by each factor. They found that a country-specific TFP shock orthogonal to deflation could explain two-thirds of output variation in each country, while monetary shocks explained the remaining third. Moreover, their artificial series of TFP shocks matched the small amount of data available for economywide productivity during the 1930s.22 On the other hand, the same simulation carried out with only the monetary shock (that is without TFP shocks) produced a strong negative correlation between real wages and real output (in log deviation terms), which is at odds with the cross-sectional evidence. On the basis of this analysis, Cole, Ohanian, and Leung (2005) concluded that an RBC account of the international Great Depression should be based on a shock that works like a productivity shock, that is orthogonal to deflation, and that looks like a productivity shock in the data. They 21 Two random variables x and y are said to be orthogonal if their cross moment E(xy) is zero. In the present case, the favoured procedure is one that orthogonalizes the TFP shock on deflation. This means that the authors regress TFP on deflation, and then subtract the value of TFP obtained by the regression from the actual TFP value. In this way the residual TFP is not correlated with deflation, as the effect of deflation on TFP has already been taken into account by the regression. 22 These data refer to the USA, Canada, the UK and Australia. 34 A Critical Survey suggest that natural candidates for such a shock are the financial disruptions stressed by Bernanke (1983), the decrease in “information capital” hypothesized by Ohanian (2002) and policy interventions that obstruct the normal working of the market forces, as in Cole and Ohanian (2004). The analysis presented by Cole, Ohanian, and Leung (2005) deserves some critical discussion. The 1929–1932 data show that a positive log deviation from the trend of real wages was accompanied by a negative log deviation from the trend of output in 13 of the 17 countries considered. This means that the relationship between real wages and output was negative in the vast majority of countries. True, the interpolation of the plotted data gave an upward-sloping line. But the observations in the plot were highly dispersed, so that the R2 was very low. Moreover, considering that the countries under consideration differed substantially in this period, the fact that an international increase in the rate of growth of wages was accompanied by a diminishing rate of decrease in output does not necessarily mean that as long as real wages increase in each country, we should expect a parallel increase in real output. Many other factors that have not been taken into account here could influence the results – for example, internal political factors (such as the role of unions and of socialist parties), international political factors (such as war reparations and war debts) and exchange problems in connection with problems in the balance of trade. 2.4.2 Case studies The case study analyses are all contained in a special issue of the Review of Economic Dynamics. Four of them, concerning, respectively, Canada, Germany, France and the United Kingdom in the 1930s, will be considered here.23 23 For the sake of completeness, the other papers in the issue concern Italy’s mild depression of the 1930s, Japan’s crisis in the 1990s and analyses of South-American countries’ depressions in recent years. I omitted Italy, because the Italian depression was smaller than the others and a bit peculiar (Perri and Quadrini (2002)). Instead I have focused on Canada, to compare it with the United States. 2.4 Great Depressions worldwide 35 Canada Amaral and MacGee (2002) carried out a comparative analysis of the Great Depression in Canada and the USA, using an RBC model that is formally equivalent to that used by Cole and Ohanian (1999). Their principal result is that an exogenous shock to TFP could reproduce about 50% of the Canadian depression. This shock also performed well in accounting for the slow recovery. Moreover, building on arguments by Cole and Ohanian (2000), they excluded the possibility that monetary factors could have played a major role in causing the Canadian Great Depression. Finally, they tested the importance of terms-of-trade shocks in explaining the depression. During the 1930s, Canada’s economy was small, and trade constituted a high proportion of GDP; trade shocks were certainly appreciable at that time. The test was done by running a simulation on a two-country RBC setup, under the limiting assumption that inputs are non-tradable goods. The results show that terms-of-trade shocks are unable to account for the Great Depression in Canada. The comparison between Canada and the USA is interesting, although puzzling. It shows that, in spite of some similarities in the general economic trend between the two countries, the USA experienced a recovery starting in 1933, while Canada did not. The US recovery was characterized by a strong TFP recovery. TFP, in effect, came back to its trend level by 1937 in the USA, while it remained below the trend level throughout the 1930s in Canada. Interestingly enough, the time of recovery coincided with the implementation of New Deal policies in the US, while Canada had no such policy. On the other hand it is surprising to note that, while all the aggregate variables suggest that from 1933 onwards the USA was on the path to recovery (unlike Canada), the total hours worked increased more rapidly in Canada than in the USA during this time. Amaral and MacGee (2002) tried to solve these problems by using Cole and Ohanian (2001)’s ideas; they argue that New Deal policies in the USA affected labour employment negatively, and therefore measured TFP (which is a residual) tended to be, ceteris paribus, higher in the USA. In my opinion this explanation conceals some logical pitfalls. Amaral 36 A Critical Survey and MacGee (2002) argue that the economy in the USA recovered earlier than in Canada, because TFP in the USA recovered earlier than in Canada. Such a faster recovery, they suggest, did not create higher employment in the USA than in Canada, because New Deal policies independently affected the labour market in the USA. So, contrary to expectations, Canadian employment recovered earlier than the US employment. So far, the argument works. But then Amaral and MacGee (2002) add that the higher trend of TFP in the USA could depend upon the lower trend in employment! This introduces a circularity in the argument. It might safely be concluded that New Deal policies were the instrument that dragged the USA economy out of the depression because, paradoxically, by allowing for higher unemployment, they allowed for higher TFP, which, in the RBC framework, is the driving force of the economy. This paradox suggests that explanation does not withstand closer examination, leaving the puzzle of why employment recovered earlier in Canada than in the USA unresolved. Germany While the USA was the epicentre of the Great Depression, Germany was certainly the European country that experienced the worst depression in the early 1930s. In their paper analysing the Great Depression in Germany from an RBC perspective, Fisher and Hornstein (2002) first observed that detrended US and German data are quite similar in terms of rates of variation, so that, in their opinion, the two phenomena are comparable. Interestingly enough, Germany recovered to its 1928 trend level in 1937, while the USA was still depressed at that date. The paper claims that one or more real shocks could account for the behaviour of the German economy, without any need to refer to monetary shocks or international constraints. Fisher and Hornstein (2002) considered three real shocks that seemed to them to be in accordance with the data: real wages, TFP and fiscal policy. Until 1933 Government policies and union strength caused real wages to increase. In their model, such an increase in real wages could explain the fall in hours worked per working-age person. However, as real wages began to decrease after 1933, the high-wages hypothesis could not account 2.4 Great Depressions worldwide 37 for the slowness of the recovery. The predictive capacity of the model improved when fiscal policies (restrictive up to 1932, and very expansive after Hitler seized power and public expenditure on the military increased massively) and exogenous variations in TFP were added to the model. On the other hand, the model incorporating all three shocks overestimated the magnitude of the fluctuations. In their conclusions the authors suggest that endogenizing TFP by means of the concept of capacity utilization could improve the results of their simulations. The logic of these results is the usual explanation of a standard RBC model with government expenditure and distorting taxation. An exogenous TFP negative shock, together with a deflationary fiscal policy in the early 1930s, contributes to explaining the onset of deflation. The labour demand curve shifts downwards. Nominal wages rigidities and unions explain the increase in real wages, and therefore the transformation of deflation into a recession. There is a move along the new labour demand curve. With the change in the government, and the accession of Hitler to power, fiscal policy becomes expansive, while prices and nominal wages are controlled, mainly through the abolition of unions. High government expenditure causes a strong crowding-out effect, with public consumption subtracting resources from the private sector. This induces an appreciable “wealth effect”, because people, feeling poorer, are now willing to work more. The labour supply curve shifts rightwards, which explains the recovery in production. France If the German Great Depression can be cast in an RBC framework (as argued by Fisher and Hornstein (2002)), the French case (analysed by Beaudry and Portier (2002)) has proved to be a much harder task. According to what Beaudry and Portier (2002) call “the conventional wisdom”, the Great Depression in France was a relatively minor episode, mainly due to monetary factors. France was largely isolated from the Great Depression until roughly 1932, thanks to an undervalued French franc. When the UK and USA left the gold standard and devalued their currencies, in 1931 38 A Critical Survey and 1933, respectively, French production for export started to decrease and precipitated France into a recession that was significant, although less dramatic than in other countries. At the trough of the recession the French unemployment rate was about 5%. Deflationary policies put into effect by Prime Minister Laval in 1935 worsened things. The recovery was finally due to the devaluation of the franc in 1936, after the leftist Popular Front won the elections. Against this view, Beaudry and Portier (2002) note that if we look at detrended data, a different picture emerges, which is much more comparable with Cole and Ohanian (1999)’s analysis. In terms of detrended data, the depression in France began in 1930, and there was no recovery during the 1930s: assuming 1929=100, detrended output in 1939 was 67.5. Moreover, there was no acceleration of the depression after 1933. Finally, international trade only accounted for a small proportion of French output at this time, and for reasonable values of the elasticities of substitution for intermediate goods, an international trade shock can only account for a small part of the fall in output in the model. Having established the similarity between the French and the US Great Depressions, Beaudry and Portier (2002) checked whether Cole and Ohanian (1999) main explanation for the US Great Depression (namely an exogenous drop in TFP, followed by distorting economic policies) also works for France. They found that the shock to TFP fails to explain the magnitude of the detrended output drop. Moreover, they found it to be misleading as far as the long duration of the depression is concerned. Disappointed with the traditional RBC model, Beaudry and Portier (2002) examined whether a business cycle model derived from a vintage capital endogenous growth model performed better. They introduced the embodiment hypothesis (that is, a hypothesis stating that technological improvement only affects new capital goods, i.e. investments, rather than the whole capital stock) into the RBC setup, and supposed that the impulse mechanism of the business cycle was a shock to the input side. Simulations run under these conditions showed a much better fit to the data. The rationale for this result is intuitive. If technological progress is embodied in new investment goods, the drop in the investment to output ratio will 2.4 Great Depressions worldwide 39 have an indirect effect on the rate of technological progress achieved (that is, on the technological progress that is applied to the production of goods and services). In this way, a recession caused by a reduction in the use of inputs will tend to self-replicate. In order to explain the source of these variations in investments and employment, Beaudry and Portier (2002) argued in favour of some institutional change lowering the steady-state level of total hours worked and the capital to output ratio. In this respect, following Cole and Ohanian (2001), they suggested that a likely culprit for the protraction of the depression after 1936 is the formation of a leftist government in 1936 that reduced by law the number of hours worked for a given wage (i.e. increased the real wage rate). According to Beaudry and Portier (2002), the French depression was merely a normal adjustment process to a lower steady-state growth path induced by institutional modifications. United Kingdom The last case study I want to consider in this section is the analysis of the Great Depression in the United Kingdom from an RBC perspective by Cole and Ohanian (2002a). In this paper the authors undertook a growthaccounting exercise, leading them to exclude the view that a TFP shock could adequately account for the 20-year-long depression in the United Kingdom. Detrended data show that both TFP and capital input increased between 1920 and 1938, while labour input decreased markedly, compared to the pre-World War I average. Moreover, they argue that Keynes (1931)’s position on the relationship between exchange rate policy, exports and recession was inconsistent with the available data.24 They argue that the restrictive exchange rate policy (i.e. the adoption of the gold standard system with the British pound pegged to its pre-War level) dates to 1925, while, using their definition, the recession began far earlier, in 1919. Moreover, in modern RBC-style models, monetary shocks do not have a prop24 Keynes (1931) basic idea was that gold standard constraints forced British policy makers to adopt a strongly deflationary policy, in order to achieve equilibrium in the balance of trade. This was necessary because the high value of the pound caused difficulties in the export sector. 40 A Critical Survey agation mechanism strong enough to account for such a long-lasting depression. Having excluded the monetary origin of the British depression, Cole and Ohanian proposed an alternative explanation, based on a series of circumstances affecting the labour supply. On the one hand, the diminishing competitiveness of the British economy in producing some traditional export goods led to changes in the structure of production, and to a necessary relocation of the highly concentrated British industrial firms. On the other hand, the contemporaneous adoption of a postwar policy of housing subsidies increased the opportunity cost of moving house, thereby deterring households from following job vacancies around the country. As a third factor, Cole and Ohanian (2002a) consider the existence of a “generous” unemployment benefit scheme. According to this view, the Great Depression in the United Kingdom can be attributed to contingencies and policies causing a leftward shift in the labour supply schedule. 2.5 A critical perspective The task of tackling the Great Depression from an RBC perspective represents an outstanding methodological innovation, in that an earlier selfimposed limit to equilibrium theory has been breached. In this respect, Cole, Ohanian and Prescott should be credited with initiating this line of research. For better or worse, the Great Depression is a powerful litmus test for RBC theory and method. At stake is whether specific historical events such as the Great Depression are amenable to RBC theory, or whether there are some theoretical or methodological limits to its scope. A broader perspective is then implied, which goes beyond the case study of the Great Depression, and involves the whole literature on RBC. At this juncture no definitive conclusion can be drawn. Therefore I will limit myself to a few tentative observations. The general picture that emerges from this survey is that the account of the Great Depression given by RBC authors has two basic characteristics. First, they consider a strictly national phenomenon. Second, they view the 2.5 A critical perspective 41 Great Depression as a business cycle in the RBC sense, although peculiar in both its magnitude and duration. They explain its onset by means of some exogenous shock, while its protracted character is explained by some additional shock, or by the high persistence of the exogenous shock itself. This vision stands in sharp contrast to the accepted wisdom of economic historians. Eichengreen and Temin (2000), for example, stress the role of Gold Standard policies in causing the onset of the Great Depression and its widespread diffusion around the world. More generally, all the historians who have studied the period stress the role of both international monetary constraints and some tension-widening socio-political situations (broadly related to the Russian communist revolution and the consequent emergence of strong leftist parties).25 For them, the international dimension is crucial for the correct understanding of any national situation. Historical analysis tends to consider the Great Depression as a specific outcome of a set of historically specific causes; it does not share the “normality” perspective at all. Assessing which of these competing views is correct is a hard task, which I am unable to undertake at the present stage. What can be observed here is that, at first sight, the arguments adduced to support the new RBC approach do not seem robust enough to subvert the accepted historical wisdom. While the empirical argument advanced by Cole, Ohanian, and Leung (2005) is lacking definitive evidence, the insights that led, for example, Romer (1993) and Cole and Ohanian (1999) to analyse the US Great Depression in a national perspective (i.e. the observation that the USA was an almost closed economy that experienced a bigger and longer depression than other countries) do not apply to other countries such as France or Germany. On the other hand, it must be admitted that the RBC case studies of the USA and other countries reviewed above are the first attempt to submit the Great Depression in different countries to the same methodological inquiry. Beyond its undeniable heuristic value, such an attempt might prove useful in providing new insights and perspectives, so improving our understanding of the period under examination. Further research comparing the RBC interpretation of the Great Depression world25 See, inter alia, Eichengreen (1992) and Hobsbawm (1996). 42 A Critical Survey wide with the work of leading economic historians is highly desirable to clinch the matter. My main critical observations on the research by Cole, Ohanian and Prescott concern their methodological premises. These authors stuck strictly to the methodology highlighted in Section 2.2, erecting a borderline between the realms of history and economics. In their view, economics is basically concerned with the elaboration of models, and trying to reproduce a given set of data by the model’s response to an unidentified exogenous shock. On the contrary, history has the role of giving both content and meaning to the exogenous shock. The acceptance of the normality view in this methodological context implies that, for the economist, the real question at stake is the long duration of the Great Depression, its onset being, as clearly stated by Prescott (1999), but a minor issue. This methodological stance suffers from drawbacks when applied to the interpretation of the Great Depression. In view of the improvement in our general knowledge of the Great Depression, resorting to an exogenous TFP shock in order to explain its onset is not satisfactory, certainly not as satisfactory as the rich historical accounts already available (for example, Kindleberger (1973) and Eichengreen (1992)). TFP is nothing more than a black box for analytical purposes (Hulten (2000)). Summers (1986)’s acute criticisms undermine Prescott’s argument that the exact origin of a shock is a secondary issue, provided that the model can mimic a given set of data. Extremely bad theories can predict remarkably well. . . Many theories can approximately mimic any given set of facts; that one theory can, does not mean that it is even close to right. (Summers (1986), p. 24) Summers (1986) emphasizes that the history of scientific thought is full of plainly wrong theories that nevertheless fitted the data well (for example, the cases of Lamarckian biology and Ptolemaic astronomy). Be that as it may, the TFP story also presents some internal consistency problems. Consider the analysis of the USA. While in Cole and Ohanian’s simulation, the drop in TFP explains only 40% of the contraction phase, 2.5 A critical perspective 43 such a drop is abnormally large when compared with the behaviour of TFPs in the post-war era (Ohanian (2002)). This feature leads Cole and Ohanian up a blind alley. If the abnormal dimension of the drop in TFP is due to some measurement error, then the true TFP drop during the 1930s must have been much less. This implies that a TFP-driven RBC model will explain much less than 40% of the output drop. Moreover, a lower TFP drop would mean that inputs must have decreased more, thus increasing the puzzle of why the level of employment of the labour force and the degree of utilization of capital were so low. If, on the contrary, the value of the TFP drop in the 1930s is reliable, as Ohanian (2002) suggests when referring to an “organizational capital” concept,26 then the puzzle becomes why output decreased so little. If the post-war ratio between TFP and output drop were maintained, output would have decreased much more. To summarize, if the Great Depression were merely a business cycle, it must show the typical regularities of business cycles, including similarities between the variations of outputs and TFPs. A further aspect of the application of RBC methodology to the Great Depression worthy of notice is the indeterminateness of results. Small modifications in models sharing the same fundamental transmission mechanisms induce big variations in the results. Such modifications mostly involve unverifiable assumptions, such as the presence of taste shocks, the degree of nominal stickiness and so forth. As an example, consider the sticky-wages story, which, according to Bordo, Erceg, and Evans (2000), is the cause of the onset of the US Great Depression, although Cole and Ohanian (2000) consider it totally irrelevant; or the quantitative equivalence between demand-shock- driven and supply-shock-driven explanations of the US Great Depression (Weder (2001) vs. Cole and Ohanian (2001)). This last point deserves some attention because the quantitative dimension of RBC theory has always been thought of, by its proponents, as one of its 26 Ohanian (2002) suggests that diminished efficiency in combining inputs to produce output might be understood as a general efficiency drop due to widespread failures in the economy. Surviving firms had to look for new suppliers and new customers. Moreover, firms’ responses to sudden crashes are sometimes to adopt new technology, which might cause temporary efficiency decreases due to its adoption costs. 44 A Critical Survey major strengths, allowing as it does for the comparative evaluation of different theories on a quantitative basis. This has been viewed as a big step forward in economic theory, leading towards improved scientific rigour. In theory, the economist analyses each hypothesis by means of the benchmark model, and then chooses the one that best fits the data. However, the ambiguous results reported here for the Great Depression suggest that RBC methodology does not provide suitable criteria for choosing among competing theories. In other words, the researcher has no means to assess which theory is correct, among those with comparable data-mimicking ability. This weakness of the verification technology is a big flaw in RBC theory, and lends credence to Summers (1986)’ arguments. In the context of the analysis of the Great Depression, another technical issue arises. Most RBC models are solved numerically or by means of linearization around the steady state. Numerical solution is a useful tool allowing a computer to approximate, by numerical iteration, a stochastic dynamic system that is otherwise insoluble. The attractiveness of the tool is that it allows the researcher to elaborate more complex models (think of Christiano, Motto, and Rostagno (2004)). Its drawback is that the economic interpretation of the results is far from obvious, relying more on the narrative intuition of the economist than on Lucas’s celebrated discipline. As to linearization around the steady state, it is a well-known fact in economic dynamics that the properties of a linearized system are approximately valid only near the steady state. If the suggestion that the US economy was in a steady state in 1929 seems acceptable, it is surely not true that the US economy was anywhere near a steady state in 1931–1939. In this case, a linear approximation may lead to highly misleading results. As far as the normative aspect is concerned, the general approach of RBC theory to economic policy is markedly laissez faire, as the following quotation from Mankiw (1989) illustrates. Since real business cycle theory describes economic fluctuations as a changing Walrasian equilibrium, it implies that these fluctuations are efficient. (Mankiw (1989), p. 83) This standpoint naturally applies to the Great Depression case. As far 2.6 Conclusions 45 as the US Great Depression is concerned, there is widespread agreement among RBC authors on the negative impact of New Deal policies, which are seen as causing the exceedingly long duration of the Great Depression. Weder (2006) and Harrison and Weder (2002) are the exception, insofar as they consider the Great Depression to be a demand-driven phenomenon, which required some policy intervention. Bordo, Erceg, and Evans (2000) and Christiano, Motto, and Rostagno (2004) take somewhat intermediate positions. On the one hand, these two papers see the NIRA as a concomitant cause of the long duration of the Great Depression. On the other hand, they argue that a more expansive monetary policy would have allowed nominal rigidities to be overcome, thus possibly making the depression much less severe. As to the analysis of the Great Depression worldwide, the pro-laissez faire stance is even more marked than it is in the analysis of the United States: . . . Government policies that affect TFP and hours per workingage person are the crucial determinants of the great depressions of the 20th century. (Kehoe and Prescott (2002), p. 15, added emphasis) The traditional Keynesian view that New-Deal-like policies, devaluation and public expenditure on armaments dragged the world economy out of the Great Depression is thus turned upside down by RBC authors. In the RBC view, economic policy is viewed as the principal cause of the event called the Great Depression. This position echoes the old “liquidationist” view held in the 1930s (in their policy implications, if not in their analyses) by outstanding contemporaries such as Hayek, Robbins and Schumpeter (Bernstein (1987); De Long (1990)). A comparative analysis of this stream of literature and RBC theory could clarify whether RBC models of the Great Depression bring new insights to the vexed question concerning the role and effectiveness of economic policy during the 1930s. 2.6 Conclusions The Great Depression has been considered for years as the main exception to Lucas’s claim that “all cycles are alike” and therefore call for the same 46 A Critical Survey theoretical explanation. In this paper, I have reviewed some recent attempts by RBC authors to bridge this gap between the new classical equilibrium method and the explanation of the Great Depression. While it is too early to draw definitive conclusions, some suggestions for future research have been identified in Section 2.5. RBC theory defines business cycles in terms of regularities in the relative behaviour of economic aggregates. Events are amenable to the theory insofar as they show such co-movements in these variables. In this sense, the very fact of trying to tackle the Great Depression with RBC theory is tantamount to assuming that the Great Depression was a business cycle in the RBC sense. I have called this assumption the “normality view”. The normality view has important implications, as it is the conceptual basis for the change of the dating of the Great Depression. Before the RBC interpretation, people spoke of a Great Contraction in 1929–1932 and of a recovery in the New Deal era. Explanations were highly differentiated, but the dating was a matter of accepted wisdom. RBC authors, however, interpreted the Great Depression as the whole 1929–1939 period, as output did not recover its trend level during this time, whereas TFP had already recovered by 1936. The normal co-movement between TFP and output implies a recovery that did not actually occur. Therefore, the Great Depression becomes the whole decade, and the “puzzle” to be solved is why output remained below its trend level for so long. This view is completely new, and the fact of having brought it to the forefront has an intrinsic heuristic value. Cole and Ohanian in particular must be credited for this. However, the normality view is by no means an uncontroversial assumption. Many historians have taken the opposite view, namely that the Great Depression has deep roots in specific historic circumstances and institutional factors. In other words, it was a single event. The contrast between these competing viewpoints is intensified by the methodological stance of RBC theory. Business cycles are conceived of as the equilibrium reaction of a modelled economy to some kind of exogenous random shock. The exact identification of the content of the shock is a minor issue with respect to the comprehension of the propagation mechanism. Taking this reasoning to extremes, an inquiry into the cause of any 2.6 Conclusions 47 business cycle is seen as outside the domain of economic science, a theme to be left to historians. The application of such a methodology to the Great Depression, however, takes the theory into difficult territory. Because of the method of analysis, the substantive contribution of RBC literature to our general knowledge about the Great Depression is, at most, limited. None of the papers using TFP technology contribute at all. Others, recasting old ideas such as preference for liquidity, sticky wages and animal spirits in the new classical framework, may be credited with translating old concepts into the new accepted scientific language. This is definitely a feat. But is this enough to talk of a new interpretation of the Great Depression? RBC methodology puts renewed stress on the quantitative dimension of the analysis and on empirical verification when undertaking the task of analysing historic events such as the Great Depression. This is an important discipline, and subsequent research should take it into account. The theoretical no-compromise approach and the constant reference to empirical evidence should allow researchers to discriminate between good theories and bad theories. Unfortunately, the results of RBC models of the Great Depression are actually quite poor, despite the valuable quantitative effort. As shown in this review, many competing theories of the Great Depression have been advanced, each mimicking the data to a similar extent. The point is that the RBC method does not allow us to discriminate among theories with the same data-mimicking ability. This is a big problem that needs to be addressed in the future. 48 A Critical Survey Chapter 3 The Abandonment of the Abstentionist Viewpoint 3.1 Introduction Macroeconomics experienced radical changes in the last quarter of the twentieth century. The most important was the dethroning of the Keynesian IS-LM paradigm and its replacement by a new paradigm centered on the study of growth and the business cycle, rather than unemployment. This started as new classical macroeconomics with Lucas’s work, to be recast as real business cycle theory by Kydland and Prescott. At present, it also goes under the names of neoclassical growth theory and dynamic stochastic general equilibrium models.1 The aim of this paper is to describe and assess one of the features of this approach: the way it deals with the Great Depression, probably the single most dramatic business cycle event of the twentieth century. The new approach started as an equilibrium theory of the business cycle - equilibrium 1 Throughout this paper we shall treat these labels as synonymous. In doing so, we are sticking to the convention of considering the “real business cycle” label as indicative of an “approach to modeling” (Romer (2001)) rather than a set of models. We admit that, while terminology is not yet firmly established, it is becoming ever more evident that a distinction should be made between the global approach, for which the name “dynamic stochastic general equilibrium” might be appropriate, and the different classes of models within it (which include real business cycle models à la Kydland and Prescott). 50 The Abandonment of the Abstentionist Viewpoint meaning optimizing behavior and market clearing. Can such an approach come to grips with the Great Depression? Our paper does not aim to address this issue straight on. Rather, we want to focus our attention on the evolution of opinion and research activity that took place within the community of real business cycle theorists with respect to the Great Depression. In the 1970s and 1980s Lucas and Prescott, the two towering figures of the new approach in macroeconomics, took what could be called an abstentionist stance. They maintained that, because of its exceptional character, an explanation of the Great Depression was beyond the grasp of the equilibrium approach to the business cycle. However, while Lucas stuck to this view, Prescott changed his mind at the end of the 1990s, breaking his earlier self-imposed restraint. Real business cycle theory, he ended up by stating, had succeeded in its endeavor to elucidate the Great Depression. The authors credited with this breakthrough were Harold Cole and Lee Ohanian. We shall start our inquiry by exploring the abstentionist stance. In a second step, we shall document Prescott’s change of opinion. Next, we examine Cole and Ohanian’s work, which led Prescott to this change, and assess its contribution. We continue by drawing a contrast between the real business cycle and the economic history approaches to the Great Depression. Finally, we briefly discuss whether the new developments brought about by Cole and Ohanian have led Lucas to forego the abstentionist viewpoint. 3.2 Lucas on the Great Depression 3.2.1 The Lucas and Rapping (1969) paper The Lucas and Rapping (1969) paper, “Real Wages, Employment, and Inflation”, which provides the micro-foundations for an analysis of the labor supply, is rightly credited with having initiated the move that led to real business cycle theory. It is also the paper to start with in our attempt to 3.2 Lucas on the Great Depression 51 elicit Lucas’s position on the Great Depression.2 At the time, Lucas and Rapping were barely aware of the full implications of the assumptions they adopted. In particular, they did not view their market-clearing assumption as clashing with Keynesian theory. Nevertheless, they felt the need to reconcile the existence of unemployment with market clearing. Their solution was to question the usual interpretation of census data on unemployment, according to which most unemployment was involuntary, and to declare that, outward appearances to the contrary notwithstanding, these people were voluntarily unemployed (Lucas and Rapping (1969): 748). No discussion of the Great Depression per se is to be found in Lucas and Rapping’s paper. They did not claim to have a market-clearing model of the Great Depression. Nonetheless, this was the implicit conclusion of their work, since they tested their model against US time series data covering the years 1930-65 (including the depression years) and claimed that it performed relatively well from an econometric point of view. 3.2.2 Rees’s criticism The Lucas and Rapping paper made a great stir. One of the economists who reacted against it was Albert Rees, a labor economist formerly at Chicago, and at that time at Princeton. His comment (Rees (1970)) is of particular interest for our inquiry, because it raised the issue of the relevance of Lucas and Rapping’s model for the Great Depression. In particular, Rees was shocked by the implication of Lucas and Rapping’s model that unemployment in the Great Depression was voluntary: In assessing the reasonableness of [Lucas and Rapping’s] view, it should be recalled that it is set forth in a paper that fits an 2 This paper was a joint venture by Lucas and Rapping. However the latter gradually lost interest in this line of research, so that the authors’ rejoinder to Rees (1970), though co-signed by both of them (Lucas and Rapping (1972)), was in fact single-authored by Lucas, as he mentions in his Professional Memoirs (Lucas (2001)). Except when specifically discussing the 1969 paper, we will therefore refer to Lucas’s views rather than to Lucas and Rapping’s views. 52 The Abandonment of the Abstentionist Viewpoint econometric model to U.S. data for the period 1930-65, which includes all of the Great Depression of the thirties. Some measured unemployment may be essentially voluntary in the case of pockets of unemployment during conditions of general prosperity. . . However, to extend this view to conditions of general deficiency in demand involves an aggregation fallacy. When all markets are depressed in varying degrees, a few of the unemployed might still be able to find work by shifting their location or trade, but it is surely not true that all of them could do so at once. . . Though scientific discussion is supposed to be dispassionate, it is hard for one old enough to remember the Great Depression not to regard as monstrous the implication that the unemployment of that period could have been eliminated if only all the unemployed had been more willing to sell apples or to shine shoes (Rees (1970): 308). Beyond doubt, Rees had what seemed at the time a strong point. Lucas and Rapping’s model assumed market clearing. That is, it assumed away involuntary unemployment. If it is believed that the voluntary/involuntary unemployment distinction makes any sense, the Great Depression is the period par excellence for which the notion of involuntary unemployment is relevant. Arguing that the massive unemployment that existed at the time was composed of voluntarily unemployed persons stretched credibility. Hence Rees’s claim that any model excluding market non-clearing as a matter of premise was ill suited for studying the Great Depression. 3.2.3 Lucas’s reaction Lucas’s reaction to Rees’s criticism was twofold. On the one hand he refused to enter into a discussion on the voluntary or involuntary nature of unemployment.3 However he accepted the standard Keynesian argument 3 Lucas’s definitive position on the subject of involuntary unemployment, namely that this notion should be dispensed with altogether, is set out in a later article (Lucas (1978)). For a discussion of this point, see De Vroey (2004). 3.2 Lucas on the Great Depression 53 that the Great Depression was due to a deficiency in aggregate demand.4 On the other hand, he agreed to delve deeper into the issue of the relevance of Lucas and Rapping’s model for the Great Depression. Here, stepping back from their previous conclusion, he admitted that the model failed to explain the data from 1934 to World War II. Rees also raises the important empirical question of whether our theory does succeed in accounting for labor-market behavior during the period 1929-39. Further study on our part indicates that Rees’s skepticism on this point is well founded: our hypothesis accounts for much, but not all, of the observed labor-market rigidity during this period (Lucas and Rapping (1972): 186). Lucas was enigmatic about the reasons behind the failure of the model, contenting himself with noting that it considered only one source of rigidity (adaptive expectations), while others might have been at work as well. In a footnote, he hinted at Alchian (1970)’s conjecture that recovery was delayed by the succession of New Deal price- and wage-fixing measures, a claim that Cole and Ohanian were to take up again some thirty years later. 3.2.4 Lucas’s subsequent standpoint Lucas returned to the issue of the Great Depression on several occasions, mainly in interviews or book reviews, although never in any detail. In these pieces he repeatedly expressed the view that real business cycle models, which he otherwise fully endorsed, were unable to explain the Great Depression. This job, he constantly claimed, had been done by Friedman and Schwartz: 4 “The only aggregative economic policy implication we see for events like the Great Depression are the standard ones: if possible, avoid the aggregate-demand shifts which cause them; failing this, pursue corrective demand policies to make them as brief as possible.” (Lucas and Rapping (1972): 187). 54 The Abandonment of the Abstentionist Viewpoint The Great Depression, however, remains a formidable barrier to a completely unbending application of the view that business cycles are all alike (Lucas (1980): 273). . . . The magnitude of the Great Depression dealt a serious blow to the idea of the business cycle as a repeated occurrence of the “same” event. . . The Depression continues, in some respects, to defy explanation by existing economic analysis (Lucas (1980): 284). Viewed as positive theory, real business cycle models do not offer a serious alternative to Friedman and Schwartz’s monetary account of the early 1930s. . . There is no real business cycle model that can map these shocks into anything like the 40% decline in real output and employment that occurred between 1929 and 1933 (nor, indeed, does anyone claim that there is). Even if there were, imagine trying to rewrite the Great Contraction chapter of A Monetary History with shocks of this kind playing the role Friedman and Schwartz assign to monetary contractions. What technological or psychological events could have induced such behavior in a large, diversified economy? How could such events have gone unremarked at the time, and remain invisible even to hindsight? (Lucas (1994): 13).5 In short, Lucas’s stance is that the real business cycle method is fine for periods of plain sailing but ill suited to more dramatic events such as the Great Depression: In Kydland and Prescott’s original model, and in many (though not all) of its descendants, the equilibrium allocation coincides with the optimal allocation: fluctuations generated by the model represent an efficient response to unavoidable shocks to productivity. One may thus think of the model not as a positive theory suited to all historical time periods but as a normative 5 Other references are Lucas (1987): 87, Klamer (1984): 41-42, Snowdon and Vane (1998): 125 and McCallum (1999):284. 3.3 Prescott on the Great Depression 55 benchmark providing a good approximation to events when monetary policy is conducted well and a bad approximation when it is not. Viewed in this way, the theory’s relative success in accounting for post-war experience can be interpreted as evidence that post-war monetary policy has resulted in nearefficient behavior, not as evidence that money does not matter (Lucas (1994): 13). 3.3 3.3.1 Prescott on the Great Depression Prescott’s early view To the best of our knowledge, Prescott’s first remark about the Great Depression dates from 1983 and is to be found in a Federal Reserve Bank of Minneapolis Working Paper discussing the methodology of the then nascent real business cycle theory. In this paper, Prescott examined four objections that can be raised to this theory. One of these is directly related to our inquiry: How can a theory claim to explain the business cycle if it cannot explain the Great Depression? (Prescott (1983): 11). Prescott’s answer was straightforward. He plainly admitted that the Great Depression was beyond the reach of the equilibrium model of the business cycle. To him, this restraint was virtuous because it showed that the practitioners of the new approach were aware of its limits. Equilibrium models of the business cycle, he argued, worked only for empirical cases where the political and financial context was stable: The answer to question (b) is simply that competitive equilibrium theory is not suited to modeling economic fluctuations in periods of great political and financial institution instability. The inability of either the equilibrium monetary or the technology shock theories to explain the Great American Depression 56 The Abandonment of the Abstentionist Viewpoint is evidence of the discipline of the methodology. If any observation can be rationalized with some approach, then that approach is not scientific (Prescott (1983): 12). Prescott stood by this point of view for several years.6 This is witnessed by his reaction to Summers’s rejoinder to his “Theory ahead of measurement” paper (Prescott (1986)). One of Summers’s points was that no equilibrium theory could deal with events like the Great Depression, because of the pervasive disruptions to the exchange system that characterize such periods.7 In contrast to the generally flamboyant tone of his response, Prescott remained subdued on this point, taking the same line as in his 1983 paper: Summers has perhaps misread some of my review of real business cycle research. There I do not argue that the Great American Depression was the equilibrium response to technology shocks as predicted by the neoclassical growth model. I do not argue that disruptions in the payment and credit system would not disrupt the economy (Prescott (1986): 29). 3.3.2 Prescott’s present standpoint Prescott did not return to the matter of the Great Depression until his 1996 interview with Rolnick for The Region, a journal of the Federal Reserve 6 Prescott was not alone among the founders of the new approach in holding such an abstentionist view of the Great Depression. For example, Sargent stated, “I do not have a theory, nor do I know anybody’s else’s theory, that constitutes a satisfactory explanation of the Great Depression” (Klamer (1984): 69). 7 “Between 1929 and 1933, the gross national product in the United States declined 50%, as employment fell sharply. . . I submit that it defies credulity to account for movements on this scale by pointing to intertemporal substitution and productivity shocks. . . It seems clear that a central aspect of depressions, and probably economic fluctuations more generally, is a breakdown of the exchange mechanism. Read any account of life during the Great Depression in the United States. Firms had output they wanted to sell. Workers wanted to exchange their labor for it. But the exchanges did not take place. To say the situation was constrained Pareto optimal given the technological decline that took place between 1929 and 1933 is simply absurd, even though total factor productivity did fall. What happened was a failure of the exchange mechanism.” (Summers (1986): 26). 3.3 Prescott on the Great Depression 57 Bank of Minneapolis (Rolnick (1996)). Here, he departed from his earlier abstentionist view. While still referring to the political turmoil of the time, he maintained that, after all, the Great Depression was amenable to the real business cycle approach. Moreover, he now distanced himself from Friedman and Schwartz’s interpretation (Rolnick (1996): 6). It did not take long for Prescott to fully turn away from his earlier position. His new views are to be found in two papers, which are commentaries on other authors’ work rather than original research. The first is a short piece published in the Federal Reserve Bank of Minneapolis Quarterly Review in 1999, entitled “Some Observations on the Great Depression” (Prescott (1999)), which comments on Cole and Ohanian’s article “The Great Depression in the United States from a Neoclassical Perspective” (Cole and Ohanian (1999)). The second article, written jointly with Timothy Kehoe, is an introduction to the 2002 special issue of The Review of Economic Dynamics resulting from a conference held at the Federal Reserve of Minneapolis in October 2000 (Kehoe and Prescott (2002)). Both articles start with an expression of surprise: Why hasn’t growth theory been used to study the Great Depression? Perhaps because economists are reluctant to use standard theory to study an event that historically was treated as an aberration defying an equilibrium explanation (Prescott (1999): 25). The general equilibrium growth model is the workhorse of modern economics. . . Until recently, however, it has been taboo to use the growth model to study great depressions. This volume breaks this taboo (Kehoe and Prescott (2002): 2).8 Prescott’s earlier argument that real business cycle theory should refrain from trying to explain the Great Depression was now rejected. According to Kehoe and him, the conventional view that “great depressions are unique events that occurred in the interwar period and are of historical interest only” ought to be dismissed. Instead, they claimed that several 8 The idea that a taboo needed to be broken is also evoked in Prescott’s Richard Ely Lecture, “Prosperity and Depression” (Prescott (2002): 1). 58 The Abandonment of the Abstentionist Viewpoint other “great depressions” occurred in the 20th century, most of them close to the present time. This claim went along with a definitional change. The standard definition was that the term “Great Depression” designated the period between the end of 1929 and 1933. In contrast, Kehoe and Prescott proposed a quantitative definition resting on two conditions: To be a great depression, a negative deviation from trend must satisfy two conditions. First, it must be a sufficiently large deviation. Our working definition is that a great depression is a deviation at least 20% below trend. Second, the deviation must occur rapidly. Our working definition is that de-trended output per working-age person must fall at least 15% within the first decade of the depression (Kehoe and Prescott (2002): 9).9 If this definition is adopted, other twentieth century great depressions emerge: Argentina, Brazil, Chile and Mexico had depressions in the 1980s that were comparable in magnitude to those in Canada, France, Germany and the United States in the interwar period. . . In recent times, New Zealand and Switzerland - rich, democratic countries with market economies - have experienced great depressions. If the current Japanese depression continues a few more years, it will become a great one (Kehoe and Prescott (2002): 2). The suggested definitional change implied that the Great Depression of the 1930s covered the entire decade 1929-39, since output remained below trend for the whole of that period. As will be seen below, this definition led to two distinct puzzles: first, the onset of the decline, and, second, the weak recovery from it (i.e. the 1929-33 and the 1934-39 periods). The merit 9 Kehoe and Ruhl later added a third condition, that “there is no significant recovery during the period in the sense that there is no sub-period of a decade or longer in which the growth of output per working-age person returns to the trend” (Kehoe and Ruhl (2005): 762). 3.4 Explaining Prescott’s change of mind 59 of Cole and Ohanian’s work, according to Prescott, was to have shifted the attention from the former to the latter issue, now considered the most important (Prescott (1999): 26). Prescott also adhered to their conclusion as to the cause of the weak recovery, as he stated forcefully in the last paragraph of his 1999 article: In the 1930s, there was an important change in the rules of the economic game. This change lowered the steady-state market hours. The Keynesians had it all wrong. In the Great Depression, employment was not low because investment was low. Employment and investment were low because labor market institutions and industrial policies changed in a way that lowered normal employment (Prescott (1999): 27). 3.4 Explaining Prescott’s change of mind A 180 degree turn occurred between Prescott’s early remarks pointing to the inability of the real business cycle approach to explain the Great Depression and his later (and present) standpoint. Two related factors may explain this change. First, Prescott’s reversal of opinion must be understood in the broader context of the evolution of the real business cycle research program. The last fifteen years have witnessed a progressive breaking away of real business cycle theory from the strict Walrasian principles which characterized it at its onset. This is a testimony to the resilience and adaptability of the methodology created by Kydland and Prescott. Indeed, as Romer (2001) aptly put it when drawing a distinction between real business cycle models and real-business-cycle-style models, “what distinguishes the real-business-cycle research program is its approach to modeling”, rather than the Walrasian/non-Walrasian divide (Romer (2001): 210). This means that categories which were alien to the first generation of real business cycle theorists - imperfect competition, price sluggishness, monetary shocks - are no longer so. This evolution may make the theory more suitable for analyzing periods such as the Great Depression. 60 The Abandonment of the Abstentionist Viewpoint The second reason is the fact that Cole and Ohanian just came out and did it: they came to grips with the Great Depression within a real business cycle perspective, and their work enticed Prescott to change his view.10 It must soon have occurred to Prescott that Cole and Ohanian’s breakthrough was good news for the real business cycle approach, which claims to provide a general theory of business cycles. For, Prescott’s early opinion to the contrary notwithstanding, the admission that one of the most important depressions in history and certainly the best publicized one lay beyond the grasp of the theory could not but appear as a sign of weakness. In Obstfeld and Rogoff’s terms “a theory of business cycles that has nothing to say about the Great Depression is like a theory of earthquakes that explains only small tremors” (Obstfeld and Rogoff (1996): 627). After Cole and Ohanian, such attacks lost their sting. To gauge Prescott’s reversal of opinion, we need to assess Cole and Ohanian’s work. This is the task undertaken in the next two sections. 3.5 Cole and Ohanian on the US Great Depression Cole and Ohanian were the first authors to look at the Great Depression through the lens of neoclassical growth theory. We use neoclassical growth theory to study macroeconomic performance during the 1930s the way other economists have used the theory to study post-war business cycles. We first identify a set of shocks considered important in post-war economic declines: technology shocks, trade shocks, and monetary shocks. We then ask whether those shocks, within the neoclassical framework, can account for the decline and the recovery in the 1930s. This method allows us to understand which data from the 1930s are consistent with neoclassical theory and, 10 In private correspondence both Ohanian and Prescott have upheld this thesis. 3.5 Cole and Ohanian on the US Great Depression 61 especially, which observations are puzzling from the neoclassical perspective (Cole and Ohanian (1999): 2). Cole and Ohanian’s central message can be grasped by looking at Figure 3.1, in which we have graphed de-trended data from their 1999 paper for US output, total factor productivity (TFP), total employment and real wages in manufacturing and non-manufacturing sectors.11 120 110 100 trend=100 90 80 70 60 50 40 1929 1930 Real Output 1931 TFP 1932 1933 Real wages: Manufacturing 1934 1935 1936 Real wages: Non-Manufacturing 1937 1938 1939 Total Employment Figure 3.1: Detrended data. US 1929-1939. Source: Cole and Ohanian (1999) One of Cole and Ohanian’s original claims was that the Great Depression must be viewed as a ten-year episode, because de-trended output (the blue 11 TFP is defined as “any exogenous factor that changes the efficiency with which business enterprises transform inputs into outputs” (Cole and Ohanian (1999): 5). 62 The Abandonment of the Abstentionist Viewpoint line in Figure 3.1) remained below the trend line for the whole decade. Figure 3.1 also illustrates the strong pro-cyclical behavior of TFP (the pink line). After dropping by almost 18% from 1929 to 1933, it returned to its trend level in 1936. Considering a standard real business cycle model, Cole and Ohanian fed in measured TFP as the impulse mechanism of the business cycle. Their growth accounting exercise led to a twofold result. First, the behavior of the measured TFP accounted for about 65% of the initial decline in de-trended output.12 Second, it had almost no explanatory power for the post-1933 years. Using the same growth accounting technique, Cole and Ohanian examined whether the behavior of output could be traced back to the other variables invoked in competing explanations of the Great Depression - fiscal policy, international trade restrictions, monetary tightening, financial intermediation disruptions, changes in reserve requirements, and the rigidity of nominal wages. The result was negative: none of them, they claimed, stands up to scrutiny. To Cole and Ohanian, the most intriguing result was the lack of a marked recovery in output and employment (the yellow line in Figure 3.1) from 1933 onwards, despite the normal growth in productivity, rapid growth in money supply, and the end of runs on the banks. That is, while the onset of the Great Depression witnessed strongly negative real and monetary shocks, the post-1933 period did not. Hence their contention that the main puzzle raised by the Great Depression lay in understanding why the US economy remained depressed until the outbreak of WWII rather than in elucidating its onset. They concluded their analysis by suggesting that another negative shock must have hit the economy in the mid1930s. New Deal labor market legislation was their main suspect. The aim of Cole and Ohanian’s 2002 and 2004 articles was to clinch this last point analytically. Cole and Ohanian (2002b) claimed that a distortion occurred in the labor market, driving a wedge between the real wage and the marginal rate of substitution between consumption and leisure, so that the former exceeded the latter. Positing that agents were in individual 12 The actual figure in Cole and Ohanian (1999) is 40%. The 65% figure reported in the text was suggested to us by Lee Ohanian, and appears in a revised version of the paper forthcoming in the Federal Reserve Bank of Minneapolis volume on Great Depressions. 3.5 Cole and Ohanian on the US Great Depression 63 equilibrium in 1929, Cole and Ohanian investigated whether this was still the case in 1939. Their answer was “no”: Three of the four [first order] conditions are distorted. The marginal rate of substitution between consumption and leisure is 41 percent be-low the wage rate, and factor prices differ considerably from their implied marginal products. The wage rate substantially exceeds the marginal product of labor, and the return to capital is below the marginal product of capital. . . Taken together, these data suggest that some factor raised the wage above its market-clearing level, and that this high wage prevented households from satisfying their marginal rate of substitution condition (Cole and Ohanian (2002b): 30). In their 2004 paper, Cole and Ohanian focused their attention on one specific New Deal policy measure, the National Industrial Recovery Act (NIRA). This allowed firms to set prices cooperatively within the same industry, conditional on their accepting collective bargaining with unions over wages. Moreover NIRA codes of “fair competition” prescribed a minimum wage per industry that was typically above the previous prevailing wage rate. Cole and Ohanian provided evidence that this enhanced high wages in the US economy. As can be seen from Figure 3.1, the data confirm that wages in manufacturing, which was 80% covered by NIRA, were above the trend line for the whole decade, with a marked increase in 1933, the year in which the NIRA was signed. On the contrary, Figure 3.1 also shows that real wages in non-manufacturing sectors, which were not covered by the NIRA, remained below the trend line throughout the decade. Cole and Ohanian’s 2004 article also provided a quantitative analysis of the role of New Deal policies in causing the weak recovery. To this end they built a multi-sectoral model with imperfect competition and wage bargaining between firms and insider workers. The cartel sector works on an insider/outsider pattern. Insiders set the wage and the employment level, conditional on firms’ reservation profits. Whenever firms agree with workers, they are allowed to collude over production. This last assumption, Cole and Ohanian claimed, captures the central feature of the NIRA 64 The Abandonment of the Abstentionist Viewpoint (Cole and Ohanian (2004): 781). Insiders are thereby able to raise the cartel wage above the market-clearing level.13 Hence, a distortion occurs in the labor market, with the real wage rate exceeding the marginal rate of substitution between consumption and leisure. Although they did not use the term, this is nothing other than involuntary unemployment according to its standard definition, a state of affairs where agents would like to participate in the labor market yet, for some reason, are unable to do so.14 Thus, the very result that Lucas and Rapping decided to exclude from their model, incurring Rees’s wrath, now re-entered the picture, although hardly to vindicate a Keynesian standpoint. The main quantitative result of Cole and Ohanian’s model was that: New Deal cartelization policies are a key factor behind the weak recovery, accounting for about 60% of the difference between actual output and trend output (Cole and Ohanian (2004): 781). On a broader level, they concluded their 2004 article with the statement that: New Deal labor and industrial policies did not lift the economy out of the depression as President Roosevelt had hoped. Instead, the joint policies of increasing labor’s bargaining power and linking collusion with paying high wages prevented a normal recovery by creating rents and an inefficient insider-outsider friction that raised wages significantly and restricted employment (Cole and Ohanian (2004): 813). 13 Cole and Ohanian claim that monopoly per se is not responsible for the low level of employment. In effect, whenever monopoly is present without labor bargaining power, the cartel wage turns out to be close to the competitive wage and the reduction in output is small. Thus, the combined presence of monopoly and labor bargaining power is required in order to obtain the weak recovery result. 14 It is true that in Cole and Ohanian’s model agents who are rationed in the cartel sector end up in another activity (search, domestic labor or the competitive labor market), which they choose optimally. However such a result has also been obtained in dual market models (see, for example, Akerlof and Yellen (1986): 3; Hahn (1983): 225). 3.6 An assessment 3.6 3.6.1 65 An assessment The originality of Cole and Ohanian’s analysis Our first task is to ponder the originality of Cole and Ohanian’s work. To this end, we shall examine, first, whether their analysis enriches our understanding of the Great Depression (as concerns both its onset and its protracted character), and, second, whether they inaugurated a new way of approaching it. As far as the unfolding of events leading to the Great Depression is concerned, Cole and Ohanian’s positive contribution is, as they themselves admit, almost non-existent.15 TFP may account quantitatively for 65% of the drop in output, but qualitatively it is highly unsatisfactory, as it traces everything back to an undetermined exogenous shock.16 Thus, as far as the onset of the Great Depression is concerned, Cole and Ohanian’s analysis can hardly compete with the existing historical explanations (Kindleberger (1973); Friedman and Schwartz (1963); Eichengreen (1992); Romer (1990); Romer (1992); Romer (1993); De Long (1997), to name but a few). However, Cole and Ohanian’s main investigation bears on the weak recovery from the Great Depression. Two remarks are in order here. First, their characterization of the weak recovery brings out only one side of the picture, as aptly encapsulated by Christina Romer: The recovery of the United States from the Great Depression has been alternatively described as very fast and very slow. It was very rapid in the sense that the growth rate of real output was very large in the years between 1933 and 1937 and after 1938. . . The recovery was nevertheless slow in the sense that 15 See Ohanian (2002). In the introduction to this paper, Ohanian notes, “The Depression remains one of the most important and enduring mysteries in macroeconomics, and identifying the causes of this productivity decrease may shed new light on this mystery” (2002: 12). Yet at the end of the article, he writes “I conclude that the Great Depression productivity puzzle remains largely unsolved” (2002: 14). 16 Cole, Ohanian, and Leung (2005) offer some hints on the possible nature of productivity shocks, but leave the subject for future research. 66 The Abandonment of the Abstentionist Viewpoint the fall in output in the United States was so severe that, despite the impressive growth rates, real GNP did not return to its pre-Depression level until 1937 and its pre-Depression growthrate path until around 1942 (Romer (1993): 34-5). One aspect of this strong recovery, emphasized by Temin and Wigmore (1990), is the significant increase in investment that occurred from 1933 onwards and which was a distinctive feature of the US economy. Figure 3.2 illustrates the extent to which this recovery in investment occurred only in the US. In Temin and Wigmore’s view, the New Deal and the devaluation of the dollar acted as signals of a regime shift. More optimistic expectations and hence increased investment ensued. Our second remark is that Cole and Ohanian are hardly the only authors to have criticized the NIRA policy. Attacking the latter has been a staple of defenders of laissez-faire from the Chicago economist Simons (1934) to the present day (Powell (2003); Smiley (2002); Hall and Ferguson (1998)).17 Even Keynes (1933) was dismissive of it. Actually, most economists agree that this particular policy, as distinct from other New Deal policies, was inadequate.18 To limit ourselves to one account, Eichengreen, a leading Great Depression analyst, wrote: The National Industry Recovery Act. . . contributed, perversely, to the slow recovery of American output and employment (Eichengreen 1992: 344). So, our conclusion on the onset of the Great Depression must be extended to the topic of the protracted character of the crisis: Cole and Ohanian’s novelty in terms of substance is slim. 17 Hawley (1966) is a classical piece assessing the effects of the NIRA. Weinstein (1981) anticipates both Eichengreen (1992) and Cole and Ohanian (2004). Weinstein’s main point is that the NIRA produced a threefold negative effect. First, the policy sterilized the large post-1933 gold inflow. Second, it depressed employment by imposing mandatory wages that were higher than the market-clearing equilibrium. Finally it increased inflation, thereby decreasing real balances and therefore consumption and investments. 18 3.6 An assessment 67 Their real contribution is methodological. Previous authors had discussed the NIRA policy in a qualitative way. Their view was, typically, that, while the policy in itself was a failure, its impact on the overall recovery was hard to assess, because of the presence of countervailing factors. In contrast, Cole and Ohanian analyzed the policy on the basis of a general equilibrium model geared towards empirical measurement. Hence, they were able to make a quantitative assessment, namely that the NIRA policy accounts for 60% of the slow character of the recovery. 260 240 1932 III = 100 220 200 180 160 140 USA 120 France Germany 100 1932 - III 1932 - IV UK 1933 - I 1933 - II Quarters UK 1933 - III Germany France USA Figure 3.2: Production of Investment Goods. Source: Temin and Wigmore (1990) To conclude, Cole and Ohanian’s main contribution is to have inaugurated a new way of tackling the issue of the Great Depression. The theoretical breakthrough made by Lucas, Kydland and Prescott consisted of 68 The Abandonment of the Abstentionist Viewpoint dismissing the view that business cycles were not amenable to equilibrium analysis. Cole and Ohanian’s contribution is of the same order. Previously it was believed that no abstract quantitative model of the Great Depression could be constructed. They must be credited with having disproved this view. 3.6.2 One or several great depressions? Kehoe and Prescott (2002) claim that several “great depressions” occurred in the twentieth century. This claim follows from their definition of a great depression, according to which a 20% cumulative fall in output below trend, with a 15% fall in the 10 first years, constitutes a great depression. In our eyes, such a definition has little to commend it. Ten years is too long a period. In the 1930s it took only one year for detrended output to fall by 15% (and the overall fall between 1929 and 1933 was almost 40%). Kehoe and Prescott’s definition is too wide. This is particularly clear when it is observed that their criterion leads them to assert that countries such as New Zealand and Switzerland are presently enduring great depressions. A rapid glance at Figure 3.3 should make it is obvious that the present situation in these countries is not remotely comparable with the situation of the United States in the 1930s.19 There is something qualitatively different about the Great Depression, just like there was something qualitatively different about WWI, WWII, and about stagflation in the 1970s.20 With Kehoe and Prescott’s definition the specificity of the Great Depression is lost. Kehoe and Prescott’s stress on the weak recovery aspect in their definition of a great depression may also lead to a confusion between the explanation of the causes of the Great Depression and the causes of its protracted character. In our view, Prescott falls prey to such a mistake when he says: 19 On this, see Abrahamsen, Aeppli, Atukeren, Graff, Muller, and Schips (2005). The results presented here are not intended to be directly comparable to those used by Kehoe and Prescott (2002), since, unlike theirs, the output data used here has not been detrended. 20 3.6 An assessment 69 In the 1930s labor market institutions and industrial policy actions changed normal market hours. I think these institutions and actions are what caused the Great Depression (Prescott (1999): 26).21 If the changes that Prescott has in mind include the effects of the New Deal, they can in no way be viewed as having caused the Great Depression. Sticking to his definition of a great depression allows him to focus his attention on the causes of the long duration of the depression, thereby neglecting the task of explaining the plunge in output in the early 1930s. Great Depression 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 14000 25000 10000 15000 8000 6000 10000 4000 1990 International Stone-Geary $ (US) 1990 International Stone-Geary $ (CH, NZ) 12000 20000 5000 2000 0 0 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 Post-war Switzerland New Zealand United States Figure 3.3: Real GDP per capita. Source: Comin and Hobijn (2004) 21 “From the perspective of growth theory, the Great Depression is a great decline in steady-state market hours. I think this great decline was the unintended consequence of labor market institutions and industrial policies designed to improve the performance of the economy” (Prescott (1999): 27). 70 3.6.3 The Abandonment of the Abstentionist Viewpoint Contrasting the approaches of equilibrium macroeconomics and economic history to the Great Depression Cole and Ohanian’s work has broken the monopoly that economic history had over the Great Depression. Two competing approaches are now on the ground, neither of which can be considered, as a matter of principle, superior to the other. Our aim in this section is to briefly bring out their methodological differences. The singularity of the Great Depression The standard view of a depression is that it constitutes a particular phase in the business cycle, characterized by the fact that output remains (significantly) below the trend line. In turn, a business cycle is defined as being composed of four elements: the depression or decline, the trough, the recovery and the peak. In short, a business cycle is a set of peak-to-trough movements. To Cole and Ohanian, the Great Depression is yet another depression, its uniqueness lying solely in its amplitude. Lucas (1977) claims that the fact that all business cycles manifest the same sequence of movements and time lags is the very feature that allows a general theory of the business cycle, abstracted from the particularities of individual cycles, to be constructed. This is why this literature gives so little attention to the causes of any given depression.22 It remains true, nonetheless, that all business cycles - and their components - are a mix of singularity and recurrence. Real business cycle theory just assumes that the singularity dimension can be overlooked for the 22 Moreover, according to Prescott, identifying causes is more or less impossible because a “shock” may consist of the aggregate of a series of small, barely identifiable, events. As he stated in an interview with The Region, “We don’t have a theory of what causes economy-wide productivity to change. We can measure how big the changes are, and we can use dynamic theory to predict the consequences of these random changes. Now the question is: Can we identify specific shocks? My answer is no. We can’t even identify why total productivity of labor and capital is four or five times higher here than in India. Given this, how can we hope to identify why this productivity grew by 2 percent less than expected over some two-year period? Such an occurrence is all that is needed to induce a recession” (Rolnick (1996): 8). 3.6 An assessment 71 sake of theoretical analysis. So the appropriateness of applying the realbusiness-cycle toolbox to the Great Depression hinges on the assumption that in this episode too the recurrence is more important than the singularity. If the reverse is true, the appropriateness of the business cycle framework for tackling the Great Depression has to be questioned. The alternative viewpoint is that the Great Depression was not a depression in the standard sense (i.e. in the sense that slumps are necessarily followed by recoveries after some “liquidation” has come to an end).23 A system-failure phenomenon, analogous to that which occurred with the downfall of the former communist regimes, may have been at work. In this view, the 1929-33 events brought the economy to a state of affairs where any speedy recovery through private-sector adjustments was excluded. To vanquish the threat of a system collapse, a strong signal announcing a change in regime was needed. The New Deal constituted such a signal. This anti-liquidationist vision is well captured in the following observation: The devaluation of the dollar [by the Roosevelt administration] was the single biggest signal that the deflationary policies implied by adherence to the gold standard had been abandoned, that the iron grip of the gold standard had been broken. Devaluation had effects on prices and production throughout the economy, especially on farm and commodity prices, not simply on exports and imports. It sent a general message to all industries because it marked a change in direction for government policies and for prices in general. The elements of the New Deal emerged in the course of 1933; the devaluation of AprilJuly 1933 was the proximate cause of the recovery (Temin and Wigmore (1990): 485). The case for and against fully articulated models Real business cycle theorists are rightly proud of proposing an analysis of the Great Depression based on fully articulated models, which are micro23 See De Long (1990). 72 The Abandonment of the Abstentionist Viewpoint founded, have a claim to internal consistency and provide quantitative results open to direct contest. In contrast, economic history does not provide such models. Rather it mixes discursive economic reasoning with historic considerations of a different order, including, but not limited to, statistics and econometrics. Even if impressive progress has taken place between the early analyses (such as Kindleberger (1973)’s classical book) and modern studies, this hybrid character still remains. Ohanian pointed out the superiority of the fully articulated modeling strategy when interviewed in the Economic Dynamics Newsletter: General Equilibrium theory is important for understanding the Depression. There are a lot of stories about the Depression, but without an explicit general equilibrium model you don’t know if the stories hold water. One of the benefits of general equilibrium theory is that it forces you to look beyond the direct effects of shocks, and assess the indirect effects. Hal [Cole] and I are writing a paper for the NBER Macro Annual that uses general equilibrium models to study the two most popular shocks for 1929-33: the money stock decline and bank failures. Using general equilibrium models, we found that many of the indirect effects of these shocks offset the direct effects, or were at variance with the data. (Ohanian (2000): 6). But there is another side to the picture. While presenting undeniable advantages over the narrative approach, the modeling approach also has drawbacks of its own. Ohanian is right in observing that many stories are available. The problem is that not all of them can be translated into models. Models are based on exclusions. But what if the excluded factors are crucial components of the explanation? Let us mention two obvious contenders for explaining the onset of the Great Depression that are absent from Cole and Ohanian’s model. The first, which has already been mentioned above, is the idea that the Great Depression witnessed a failure in the exchange mechanism. The second, favored by Eichengreen (1992) and Eichengreen and Temin (2000), is the role played by the gold standard mechanism. As these authors argue powerfully, in the wake of WWI this 3.6 An assessment 73 institutional mechanism ceased to function well, and governments and central banks did not know how to fix it. According to Eichengreen and Temin (2000), any analysis omitting this dimension is doomed to fail to provide a satisfactory explanation of the Great Depression.24 The meaning of ”explanation” While both equilibrium economics and economic history aim at explaining the Great Depression, it is evident on reflection that the term ”explanation” does not have the same meaning in each case. To practitioners of equilibrium macroeconomics, “to explain” means to be able to construct an artificial model economy which, when subject to a suitable exogenous shock and properly simulated, behaves like the observed real-world economy. This is what Cole and Ohanian have in mind when they claim that TFP explains 65% of the observed data. To the economic historian, however, the “explanation” term has a stronger meaning. It implies drawing causal inferences, digging out the possibly inter-related fundamental causes of an event. This causal perspective may mean resorting to an array of factors which are not always suitable for inclusion in a formal model. Think for instance of Friedman and Schwartz (1963)’s claim that the course of the Great Contraction in the United States might have been different had Governor Strong not died prematurely. Whenever explaining in this sense is at stake, the discourse is bound to be loose. Yet what is lost in rigor can be compensated for in ability to address the heart of the matter. This difference in the meaning of an explanation is related to the contrast pointed out above. Some commentators praise Cole and Ohanian for having produced good results while excluding many variables that a priori might be considered important, such as the gold standard. Such praise is only justified if the less demanding definition of explanation has been adopted. Against the more demanding conception, another conclusion emerges. The fact that a model fares well without taking into account the factor that is deemed crucial for a causal explanation casts doubt on the 24 This point is also made by Gertler (2001) in his discussion of Cole and Ohanian (2000). 74 The Abandonment of the Abstentionist Viewpoint basic adequacy of this model. 3.7 Lucas after Cole and Ohanian A final point to be tackled relates to Lucas’s standpoint. We have seen that Prescott has fully endorsed Cole and Ohanian’s work, becoming 100% positive about the amenability of the Great Depression to the real business cycle methodology. But what about Lucas? Has he followed suit? A recent interview with Lucas by Randall Parker on the subject of the Great Depression sheds some light on this question (Parker (2006)).25 The first impression conveyed by this interview is the contrast between the attitudes of Prescott and Lucas. While the former is bluntly assertive, the latter has no qualms about expressing his hesitations. Lucas is highly complimentary about Cole and Ohanian’s work. He praises them for having quantified the effects on the real economy of measures taken under the New Deal. He also praises them for “having the guts to just look at this [New Deal] period and say ‘none of these theories I can take off the shelf make any damn sense here. Let’s start over”’.26 Lucas also agrees with Cole and Ohanian’s explanation of the protracted character of the Great Depression. However, we do not think that this amounts to an abandonment of his earlier abstentionist viewpoint. In spite of his agreement with their analysis of the second period of the extended Great Depression, Lucas parts company with Cole and Ohanian as to the possibility of explaining the onset of the Great Depression within the real business cycle framework. To him, the monetary explanation à la Friedman and Schwartz remains compelling, and he finds the idea that productivity shocks caused the depression hard to swallow: 25 We are grateful to Professors Parker and Lucas for having provided us with the text of this interview in advance of its publication. 26 We agree with the first of these assessments yet disagree with the second. That the NIRA might have had harmful effects is a view that many authors have put forward, Friedman and Schwartz among them. Therefore, it would be more correct to state that Cole and Ohanian improved on an existing discursive claim by transforming it into a fully articulated model and quantifying it without introducing a new explanatory factor. 3.8 Conclusions 75 I told Prescott I’d hate to have to rewrite the Friedman and Schwartz book where the role Friedman and Schwartz assigned to monetary collapses is assigned instead to productivity shocks. Where is the productivity shock that cuts output in half in that period? Is it a flood or a hurricane? If it really happened, shouldn’t we be able to see it in the data? Lucas admits that Prescott and real business cycle economists have pushed him “a way over to thinking that a lot of the more modest recessions can be accounted for in real terms” (our emphasis). Yet he believes that this conclusion does not extend to the Great Depression. For him, the latter “stands out as a kind of singular economic event”. This is the same position as he held in 1994 (see Section 3.2.4 above). Thus, we are led to conclude that Lucas still holds an abstentionist viewpoint. 3.8 Conclusions Cole and Ohanian must be credited with having started to use the tools of modern economic theory to investigate the Great Depression. The task was worth a try, and having been able to construct a model is no mean feat. However, as far as substance is concerned, we must reserve judgment. As far as the onset of the Great Depression is concerned, Cole and Ohanian’s model has not gained the upper hand over the complex and subtle explanations to be found in the writings of the many economic historians who have studied this event. As far as the recovery is concerned, it seems to us that the matter remains open. At this juncture, we are unable to decide whether their weak recovery claim is stronger than the opposing claims. At stake in the assessment of real business cycle models of the Great Depression is a territorial dispute between new classical economic theory and economic history, hinging on whether there are limits to the modeling strategy in economics. If Prescott’s standpoint amounts to a claim that the work of economic historians is pre-scientific and should be replaced by abstract models, we definitely disagree with him. However, we feel that the clash between the two approaches can have positive effects. On 76 The Abandonment of the Abstentionist Viewpoint the one hand, it is beneficial that historians will be forced to react to Cole and Ohanian’s quantitative results. On the other hand, the confrontation of their work with that of historians may help modelers to become more aware of the limits of the modeling approach. Chapter 4 The Belgian Great Depression 4.1 Introduction Following the seminal work of Cole and Ohanian (1999), recent studies have started to apply general equilibrium analysis to the Great Depression of the 1930s.1 The aim of this stream of research is to deepen our historical knowledge of the period, by putting the quantitative tools provided for by modern macroeconomics at the service of historic analysis.2 This paper follows in the footsteps of this literature, casting the Great Depression in Belgium within a dynamic stochastic general equilibrium (DSGE) framework. A typical aspect of this literature is its focus on a purely national dimension. Among all the papers interpreting the Great Depression by means of a DSGE model, only two - Cole, Ohanian, and Leung (2005) and Perri and Quadrini (2002) - take a worldwide perspective. Even studies concerning notoriously open economies such as France (Beaudry and Portier (2002)), Germany (Fisher and Hornstein (2002)) and the United Kingdom (Cole and Ohanian (2002a)) took a closed-economy perspective. If a priori such a stance appears unwarranted, it is nonetheless true that the above mentioned analyses still delivered useful insights, while keeping models 1 Major contributions in this field are Cole and Ohanian (2004), Christiano, Motto, and Rostagno (2004), Kehoe and Prescott (2002), Prescott (1999) and Weder (2006), to name but a few. Pensieroso (2007) provides a critical survey of this literature. 2 On the clash between economic history and new classical macroeconomics on the Great Depression, see De Vroey and Pensieroso (2006). 78 The Belgian Great Depression relatively simple. On this ground, although the closed-economy assumption may be difficult to retain for Belgium, it is useful to proceed stepwise for analytical convenience, first a closed-economy analysis, and then the exploration of the open-economy issues. This paper deals mainly with the former, leaving the open-economy issues for future research. However, a brief detour in the open-economy field is provided in the last section as a robustness check. The paper is organised as follows. In section 4.2, I look at selected data on interwar Belgium. Section 4.3 provides some basic facts about the Belgian interwar history. In section 4.4, I detrend the data so as to make them compatible with the theory. Section 4.5 derives and simulates a basic real business cycle (RBC) model with productivity shocks, to account for the Great Depression in Belgium. Section 4.6 extends the analysis by introducing war expectations in the baseline model. Results suggest that, in a perfect-competition, flexible-price framework, the contribution of either productivity shocks or war expectations for explaining the depression is slim. Therefore, in section 4.7, I consider a simple DSGE model with nominal wage stickiness and monetary shocks. Results show that the introduction of nominal wage staggering and monetary shocks improves on the results, with the model able to account for all the observed drop in detrended output, consumption, investments and labour input. The sluggishness of the recovery, instead, remains largely unexplained. The role of TFP shocks in this new environment is also explored. Its contribution is again found to be minor. Section 4.8 removes the closed-economy assumption for the basic RBC model. Although the framework is admittedly oversimplified, results almost overlap with those for the closed-economy. This finding suggests that, in the perfect-competition, flexible-price RBC model at least, the tiny additional explanatory power gained by considering an open-economy model is not worth the price of having an analytically less tractable model. Finally, section 4.9 draws some conclusion, and provides guidelines for future research. 4.2 A look at the data 4.2 79 A look at the data In this section I will show selected data on the Belgian interwar economy. The appendix describes data sources and derivation in details. 90000 80000 Million BF (1936-38 Prices) 70000 60000 50000 40000 30000 20000 10000 0 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 Year I_pr GNP (Market Prices) C G_c X M Figure 4.1: Output and expenditures. Source: Buyst (1997) Figure 4.1 reports real data on output and its components. The GNP (Y ) growth witnessed two accelerations, in 1922-24 and 1928-30. The Great Depression hit in Belgium in 1931, later than in most other countries. Output decreased until 1934, recovered until 1937, then decreased again. Consumption followed a comparable but a bit smoother pattern. Figure 4.2 shows investments, imports, exports and public consumption as shares of GNP. Investments’ share witnessed a swinging pattern, with a marked downward tendency: decreasing until 1926, increasing until 1929, then decreasing again. In 1939, the investment share over GNP was just 8.4%, 80 The Belgian Great Depression compared with a value of 19.7% in 1920. Exports share was sharply increasing until 1928, then decreasing until 1932, then increasing again until 1937. Imports’ share was basically increasing until 1931, and then from 1932 to 1937. It witnessed two big drops in 1932 and 1938. It is worth highlighting that the income shares of exports and imports are relatively high, reaching a level as high as 30%. Trade balance (e.g. exports minus imports) was in deficit all over the 1920s but for 1926-1928. It was in deficit again in 1929-1935, to witness then a moderate surplus till the end of the decade. Public consumption’s (Gc ) share of GNP was slightly decreasing till 1927, to slightly increase afterwards. As shown in figure 4.3, the share of private consumption over GNP increased sharply from 1920 to 1922, to steadily decrease thereafter till 1929. It then went up again until 1932, to witness later on a swinging pattern with a slightly decreasing trend. 40.0 35.0 30.0 % 25.0 20.0 15.0 10.0 5.0 0.0 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 Year I/Y G_c/Y X/Y M/Y Figure 4.2: Expenditures over output. Source: Buyst (1997) 4.2 A look at the data 81 Figure 4.4 reports monthly data on real interest rates and unemployment rates. Real interest rates were positive and high in the early 1920s and then in the midst of the depression years. They were instead low and even negative in the mid-twenties and in 1936-37. As for unemployment, Belgium seems to have experienced a full employment growth in the 1920s, apart from 1920-21, when recovery from the war was not yet fully attained. After 1930, unemployment rapidly gained momentum. It reached peaks of 28% around 1935, witnessing just a mild and slow recovery after 1935, to worsen again in 1938-39. 88.0 86.0 84.0 82.0 % 80.0 78.0 76.0 74.0 72.0 70.0 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 Year C/Y Figure 4.3: Consumption over output. Source: Buyst (1997) Figure 4.5 shows 1930-based indexes of real and monetary wages. Monetary wages were sharply increasing all over the 1920s, to reach a peak in 1930. Then they decreased during the depression, reaching a trough in 82 The Belgian Great Depression 1935, when they had decreased cumulatively a good 24 %. Thereafter, they increased again until the outbreak of the war. Real wages followed a different pattern. They were almost constant and then slightly decreasing up to 1927, to become appreciably increasing thereafter. In the midst of the depression, real wages kept on being approximately constant, slightly above their 1930 value. After 1935, they increased again until 1939. 40 30 20 lug-39 gen-40 lug-38 gen-39 lug-37 gen-38 lug-36 gen-37 lug-35 gen-36 lug-34 gen-35 lug-33 gen-34 lug-32 gen-33 lug-31 gen-32 lug-30 gen-31 lug-29 gen-30 lug-28 gen-29 lug-27 gen-28 lug-26 gen-27 lug-25 gen-26 lug-24 gen-25 lug-23 gen-24 lug-22 gen-23 lug-21 gen-22 0 gen-21 % 10 -10 -20 -30 -40 Month-Year r u Figure 4.4: Real interest rate and unemployment rate. Source: my elaboration on Banque Nationale de Belgique (1943a) and Banque Nationale de Belgique (1943b) Figure 4.6 shows the retail price index on monthly bases, as well as its monthly rate of variation. Belgium witnessed an appreciable deflation in 1920-21, followed by period of steep increases in the price index up to 1925. After mid-1926, prices literally jumped up, possibly a consequence 4.2 A look at the data 83 of the monetary stabilisation carried out in that year. Thereafter, inflation follows the same path as in 1923-26, until 1930. As the Great Depression hit Belgium, the sharp deflation typically associated to it followed. Deflation endured up to 1935, year of the devaluation of the Belgian franc. To better appreciate the possible role of monetary variables, I reported data for nominal money supply (M1), together with the annual price index in figure 4.7. From this graph we get that money supply was increasing till 1931, then sharply decreasing till 1934, then increasing again. The behaviour of the real money supply can be deduced by comparing the nominal money supply index with the price index. The exercise shows that, as far as the Great Depression is concerned, the real quantity of money decreased in 1932, in 1934 and in 1937, as in those years the nominal quantity of money dropped more than the price level. 120 100 1930=100 80 60 40 20 0 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 Year Nominal Hourly Wages Real Hourly Wages Figure 4.5: Nominal and real wages. Source: Goossens, Peeters, and Pepermans (1988) 84 The Belgian Great Depression 1000 0.1 900 0.08 700 0.02 600 feb-39 feb-38 ago-38 feb-37 ago-37 feb-36 ago-36 feb-35 ago-35 feb-34 ago-34 feb-33 ago-33 feb-32 ago-32 feb-31 ago-31 feb-30 ago-30 feb-29 ago-29 feb-28 ago-28 feb-27 ago-27 feb-26 ago-26 feb-25 ago-25 feb-24 ago-24 feb-23 ago-23 feb-22 feb-21 ago-22 -0.02 ago-21 feb-20 0 ago-20 Montly price variation rate 0.04 April 1914=100 800 0.06 500 400 -0.04 -0.06 300 Month-Year Monthly rate of inflation Retail price index Figure 4.6: Monthly retail price index and inflation. Source: Banque Nationale de Belgique (1943a) and Banque Nationale de Belgique (1943b) Figure 4.8 reports data on nominal exchange rates between the Belgian franc and the British, American and French currencies. The Belgian franc depreciated against the pound for all over the 1920s, till 1927. It stayed then four years constant, to appreciate from 1931 to 1934. Thereafter it depreciated again till the end of the decade. The exchange rate between the Belgian franc and the dollar followed a similar though less accentuated path. In this case, appreciation of the franc in the 1930s started later in 1933. Finally, the Belgian franc depreciated against the French franc from 1919 to 1923, to appreciate until 1926. It jumped then in 1927, depreciating of 40%, to stay constant until 1934. Here it witnessed a second jump, followed in 1936 by a sharp appreciation. 4.3 History of interwar Belgium 4.3 85 History of interwar Belgium In this section I shall briefly outline the basic economic and political events that shaped Belgian interwar history.3 4.3.1 1920-1926 Contrary to other European nations, Belgium had a low debt burden to cope with after world war I. In fact, having experienced German occupation throughout most of the war, Belgium found itself in the impossibility of issuing internal debt for war financing. This is why initially the Belgian economy skipped the typical debt-driven post war hyperinflation which hit other countries. The 1920-1926 period witnessed a marked post-war growth in an environment characterised by inflation, a floating exchange rate, low unemployment rates and steady real wages. According to the historians, the division of the reconstruction burden between labour and capital income was controversial, a trait that Belgium shared with many European countries immediately after the war. Much like the French, the Belgians tried to avoid the problem by pretending to believe that Germany would pay for the reconstruction of their economy, as it was obliged to that by the Versailles Treaty. By sticking to this conviction, they produced big government deficits, financing both the reconstruction and a new social legislation by issuing public debt’s short run bonds. Actually this deficit spending was concealed by the fact that, at that time, the Belgian government kept two budgets, one, which was more and less always balanced, for ordinary expenses, and another one, whose liabilities were supposed to be paid by the Germans, for extraordinary expenses. After the French invasion of the Ruhr failed (1923), this double accounting trick did not work anymore. Investors realised that Germany would never pay for the Belgian reconstruction and started to withdraw 3 Sources are Baudhuin (1946), Cassiers (1989b), Cassiers (1995), Eichengreen (1992), Goossens (1988), Goossens, Peeters, and Pepermans (1988), Hogg (1986), Mommen (1994), and Vanthemsche (1987). 86 The Belgian Great Depression their money. The Belgian franc depreciated from 30 BF/£ in 1919 to 96 BF/£ in 1925. 140 130 120 110 1929=100 100 90 80 70 60 50 40 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 Year P M1 Figure 4.7: Nominal money supply and retail price index (base 1914). Sources: Banque Nationale de Belgique (1943a) and Banque Nationale de Belgique (1943b) and Hogg (1986) Inflation raised. If the exchange rate were to be stabilised and the gold standard restored, new taxes had to be issued, to control for the public debt, thus restoring investors’ trust. After a first failed attempt in 1925, the franc was finally stabilised in 1926. The new government was able to take draconian fiscal measures, in order to restore budget balance, including the levying of new taxes on land and luxury consumption, and the restructuring of the railways system. Under these new conditions, an international loan was obtained, which allowed the National Bank to stabilise the franc at the rate of 175 BF/£. 4.3 History of interwar Belgium 4.3.2 87 1926-1930 In the period between 1926 and 1930, the Belgian economy witnessed high growth rates. However, there is some evidence that such a growth was not evenly distributed among sectors. In particular, the wholesale and the retail price indexes followed different patterns, with the ratio of the former over the latter sharply decreasing. According to Cassiers (1995), such a feature reveals that the price in francs of tradable goods stopped growing soon after the stabilisation of the franc, whereas domestic prices kept on increasing. This led to a decline of profitability in the export sector. This observation is reinforced by the fact that real wages grew of about 20% between 1927 and 1930. This notwithstanding, unemployment rates were remarkably low until the end of 1930. 200 BF for 1 unit of foreign currency (yearly average) 180 160 140 120 100 80 60 40 20 0 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 Year BF/£ BF/$ BF/FF Figure 4.8: Selected exchange rates, 1919-1939. Source: Baudhuin (1946). 88 The Belgian Great Depression Another feature of the period is the marked surge in banking and financial activities. The stock exchange prices grew up on average of 246% between August 1926 and May 1928, apparently fueled by a generalized distrust in public securities. Banks liabilities increased by 50% between 1927 and 1930, without a comparable increase in their capitalization. After the stabilisation, a heavy inflow of gold followed, which induced the National Bank to sterilisation policies. In synthesis the 1926-1930 was a period of boom in the domestic and financial sectors, while profitability in the export sector dampened because of the combination of decreasing output prices and increasing unit labour costs. 4.3.3 1930-1935 In 1931, the United Kingdom, one of Belgium’s biggest commercial partners, exited the gold standard and devaluated the pound, imposing also trade restrictions on steel and other goods that hit Belgium heavily. Belgian exporters reacted as price-takers agents typically do, i.e. by accepting to sustain losses instead of losing market shares. The export volume therefore fell much less than its value in Belgian francs. As Great Britain exited the gold standard, Belgian authorities implemented deflationary policies in order to smooth down the differential between domestic and external prices. Income tax, indirect taxes and tariffs were all increased. The real tax burden, which was 11.7% in 1930, jumped to 15.3% in 1932 and 16.4% in 1934. Public expenditures on salaries, pensions and unemployment benefits were reduced. Nominal wages went down but not enough to prevent real wages to increase. Unemployment rate jumped from 4% in 1930 to above 20% in 1932. The fragile bank system entered a liquidity crisis soon after 1933. In 1934 the Banque Nationale Belge du Travail declared solvency problems. The National Bank reduced the official discount rate so as to inject liquidity into the system. But this policy to save the financial system went openly against gold standard rules, as big gold outflows were being observed, to which the National Bank should rather have reacted by increasing the discount rate. Investors 4.4 The Data through the lens of the theory 89 started liquidating deposits, as they anticipated a devaluation of the franc. This worsened the bank crises and made devaluation eventually unavoidable. After one year of political and financial turmoil, on April 1935 the Belgian government devaluate the franc by 28%. The amount was thought of as to regain competitive prices abroad, yet avoiding a competitive devaluation that could have caused commercial retaliations from the United Kingdom. 4.3.4 1935-1939 Devaluation was followed by a big credit expansion, which gives room to a recovery till 1937. Pressure on aggregate demand caused inflation to gain momentum. Yet installed capacity was apparently so underutilised that overall inflation remained under control. Mutatis mutandis, the same is true for real wages, which were kept under control, though they witnessed an increasing pattern. The Belgian authorities were initially able to resist the 40 hours-week movement, contrary to what happened in France. Unemployment remained very high, if compared with 1930. Finally, currency devaluation notwithstanding, trade account did not improve. In facts, exports were stagnating, whereas imports increased, possibly due to the upsurge in aggregate demand. Strong capital inflows helped to keep the balance of payment favourable. 4.4 4.4.1 The Data through the lens of the theory Detrending According to RBC theory, business cycles are defined as deviations from the long run trend. This means that to be able to look at the Great Depression in Belgium from a Neoclassical perspective, I first need to net the data of their long-run trend.4 Following Cole and Ohanian (1999), I have 4 It is worth highlighting that detrending is hardly a neutral technique, in the sense that by construction the choice of the trend value can influence the magnitude and even the presence of cyclical oscillations. 90 The Belgian Great Depression assumed that the economy grows in the long-run as predicted by the simple Solow-Ramsey framework, so that all per-capita variables grow at the same constant rate, which is the exogenous growth rate of technology. 110 100 90 1929=100 80 70 60 50 40 30 20 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 Year I C Y TFP Figure 4.9: Detrended per capita data. Source: my elaboration on Buyst (1997) Using data from Comin and Hobijn (2004), I computed the average rate of growth for the Belgian real GDP per capita in the period 1900-1994 (g), excluding world wars I and II, and the Great Depression (1929-1939) as well. It turned out to be equal to 3.02%. This is assumed to be the long run constant growth rate. Next I collected data on the Belgian working-age population (i.e. the 15-65 demographic cluster) from the Belgian official demographic statistics (Ministere des Affaire Economiques (1943)) and I expressed GNP in per capita terms (Y /N = y). Hence, I detrended the y 4.4 The Data through the lens of the theory 91 series, assuming 1929 as base-year (i.e. 1929 = t0 ), and using the following formula yt ỹt = (t−t0 ) , (4.1) γ where γ = 1 + g. The same procedure is followed for detrending all the macroeconomic aggregates. Results are shown in figure 4.9. Output per capita dropped of a good 20% after 1930, and remained at about this level, with a further decrease in 1938-39. In line with Cole and Ohanian (1999)’s claim as to the US Great Depression, Belgium did not recover before the outbreak of world war II. Investments per capita were constantly decreasing, to reach the trough of almost 64% below trend in 1939. Consumption per capita was below trend during all the depression years, showing a slight downwards tendency. 4.4.2 Total factor productivity Figure 4.9 also shows detrended total factor productivity (TFP). TFP was computed using a Cobb-Douglas production function yt = est ktα (xt lt )1−α , where lowercase variables stands for per capita, k is capital, l hours worked. Non-detrended TFP is given by est xt1−α . x is the labour-augmenting technological progress, whose growth at the rate g gives the deterministic trend of the economy. es is the stochastic component of TFP, i.e. its deviations from trend, and therefore what remains after detrending TFP. As shown in figure 4.9, TFP was on trend till 1931, to progressively fall thereafter up to 10% below trend in 1934, with no apparent recovery to the trend before the outbreak of the war. An interesting feature of TFP’s behaviour in Belgium is that, though it did never recover its trend level during the late 1930s, yet it got near its trend growth rate from 1936 onwards. This is evident from a glance to figure 4.10, where, making 100 both values in 1929, I graphed the deterministic trend of TFP together with its observed value. 92 The Belgian Great Depression Next step is to assess whether, in a RBC model with exogenous TFP shocks, the observed TFP behaviour is sufficient to account for output movements in Belgium during the Great Depression. I undertake this task in the next session. 135 130 125 1929=100 120 115 110 105 100 95 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 Year Actual TFP Trend TFP Figure 4.10: TFP: deterministic trend versus actual values. Source: my elaboration on Buyst (1997) 4.5 A baseline RBC model of the Belgian Great Depression 4.5.1 The model I assume perfect competition and complete markets. I consider a closed economy populated by an infinitely living representative household, who 4.5 A baseline RBC model of the Belgian Great Depression 93 solves the following maximization problem: max {ct ,lt ,kt+1 }∞ t=0 Et ∞ X β t [ln(ct ) + φ ln(1 − lt )], (4.2) t=0 under the constraints: ct + kt+1 ≤ (1 − δ)kt + yt , yt = est ktα (xt lt )1−α , st = ρst−1 + vt , xt = γ t x0 0 < ρ < 1, k0 = given, s0 = given. In this model, I have assumed a log-log, time separable utility function. The parameter β is the household’s discount rate. φ is the relative weight that leisure holds in the utility function. δ is the capital depreciation rate due to technical obsolescence and physical disruption. I have assumed that detrended TFP, st , follows an AR(1) process with ρ being its AR(1) coefficient, and vt being a zero-mean i.i.d. innovation. The first order conditions of this problem are given by γ 1 1 = Et β 1 − δ + αest+1 c˜t c̃t+1 k̃t+1 lt+1 !α−1 γ k̃t+1 = (1 − δ)k̃t + est k̃tα lt1−α − c̃t ; φ 1 = est (1 − α) 1 − lt c̃t k̃t lt ; (4.3) (4.4) !α ; (4.5) plus a transversality condition. x̃ means detrended x. In such an economy there exist a stationary state growth path for all the detrended variables. 94 The Belgian Great Depression 4.5.2 Calibration In order to simulate the modeled economy, I need to calibrate the parameters of the model. Table 4.1 illustrates my choices. β γ δ α φ ρ 0.96 1.03 0.1 0.33 1.78 0.99 Table 4.1: Parameters’ calibration The unit period is the year. The parameters β, δ and α are fixed accordingly, as in Cole and Ohanian (1999). The deterministic growth rate of the economy is derived as explained in section 4.4.1. The parameter φ is calibrated so that hours worked l be 1/3 in steady state. The autocorrelation parameter ρ is estimated by regressing the logarithm of detrended TFP (i.e. st in the model) as an autoregressive process of order 1. 4.5.3 Simulation I assume the model economy to be at the steady state in 19295 . I feed in the residuals from regressing the logarithm of detrended TFP as AR(1) as the unexpected shock vt . Figures 4.11 and 4.12 present the dynamic response of the model to the shock. The model reproduces about 35% of the 1929-1934 output drop. It shows no signs of recovery after 1934, a feature in full accordance with the data. 5 Note that the assumption that the economy was in steady state in 1929 may be plausible, but it is not a-priori justifiable. 4.5 A baseline RBC model of the Belgian Great Depression 95 Detrended Y 110 100 90 80 70 60 50 40 1929 1930 1931 1932 1933 Model 1934 1935 1936 1937 1938 1935 1936 1937 1938 Data Detrended C 110 100 90 80 70 60 50 40 1929 1930 1931 1932 1933 Model 1934 Data Figure 4.11: Simulation: RBC model versus actual economy 96 The Belgian Great Depression Detrended I 110 100 90 80 70 60 50 40 1929 1930 1931 1932 1933 1934 Model 1935 1936 1937 1938 1935 1936 1937 1938 Data L 110 100 90 80 70 60 50 40 1929 1930 1931 1932 1933 Model 1934 Data Figure 4.12: Simulation: RBC model versus actual economy 4.5 A baseline RBC model of the Belgian Great Depression 97 The model performs similarly in accounting for consumption. Its 19291934 drop is accounted for by little more than 31%. From 1934 onwards consumption stays constant in the model, while it kept on decreasing slightly in the data. As a result, in 1938 the model accounts for just 28% of the consumption drop. As for investments, the model is able to replicate 37% of their 1929-1934 drop. Things worsen when we consider 1938, with the model accounting for a mere 14% of investments’ behaviour. This is because in the model investments recover after 1934, though not at the trend level, whereas in the data they dropped even more. As far as hours worked are concerned, the model accounts for a slim 5% of their 1929-1934 drop. In 1938, it accounts for virtually nothing of hours behaviour.6 4.5.4 Comments on the results According to the exercise I performed above, TFP shock is not a likely culprit for explaining the Great Depression in Belgium. First, there is a timing problem. Detrended data in figure 4.9 shows that the economy entered the Great Depression in 1930, one year later than elsewhere. On the contrary, we can see in the same graph that TFP stayed at trend - and even slightly above trend - until 1931. It dropped 10% below trend between 1932-1934, to stay basically constant thereafter. This translates in a problem of both direction and dimension of TFP movements. In my simulation, as a consequence of the above mentioned 6 Assuming that the utility function is logarithmic in leisure is tantamount to assuming that the intertemporal elasticity of substitution of labour supply σ is equal to 1, in a CES specification like 1 U (ct , lt ) = ln ct + φ (1 − lt )1− σ . 1 − σ1 As typical estimates for σ range around [0.4, 1] (Cahuc and Zylberberg (2004)), such an assumption is fair to the RBC transmission mechanism, in that, if anything, it overestimates the transmission of the TFP shock. For the sake of completeness, I run two further simulations, one with σ = 0.4 and the other with σ = 1.25. The latter value is chosen to be the threshold superior limit, as in Merz (1995). Results do not change appreciably. 98 The Belgian Great Depression TFP behaviour, output, consumption and investments increase until 1931, to decrease only later on, a pattern at variance with the data. A third problem relates to the quantitative side. Simulation’s results are rather poor, with the model barely able to account for a small percentage of the variables’ behaviour. This is particularly true as far as labour input is concerned. These results suggest two directions for further inquiries. The first has to do with the investment dynamics. A better accounting of the big drop we observe in detrended investment can mark an appreciable improvement over the TFP-driven explanation I dealt with here above. This is particularly true for what concerns the 1934-38 years, as in those years the discrepancy between the RBC model and the data is major. The second line of research relates to the behaviour of the labour input. As TFP was above trend in 1930-31, and given the time-to-build assumption that fixes capital in any period t, simple growth accounting suggests that hours’ behaviour is crucial for explaining the onset of the Depression. The next two sessions are devoted to the task of individuating and modeling those additional shocks that may be behind the depicted behaviour of the production factors. 4.6 War expectations and investments A striking aspect of the Belgian Great Depression is the dimension of the detrended investment drop. A possible explanation of such a drop can be that somewhere in the 1930s agents started to expect a war, thereby reducing capital accumulation. Baudhuin (1961) argues that already in 1936, when Germany re-militarized the Rhein region, worries about a possible war started being murmured. These murmurs got plain voice after the annexion of Austria in 1938. To see whether war expectations may play a role in explaining investment dynamics, I simulated the same basic RBC model of section 4.5.1, introducing two differences. First, I assumed zero unexpected TFP shock, in order to isolate the effect of war expectation. Second I imposed an expected exogenous variation in the rate of capital depreciation δ for the 1940-45 years. The idea is to translate the anticipated physical destruction 4.6 War expectations and investments 99 of the stock of capital in a variation of the depreciation rate. I have chosen two benchmark values for δ: 0.1387, which is the one I have computed in deriving the capital series to account for the destructions induced by WWI (see appendix); and a maximum value of 0.5, which means that half of the capital stock goes destroyed each year. Results are shown in figures 4.13 and 4.14. If in 1929 agents had perfectly foreseen WWII, expecting a degree of destruction in the stock of capital equal to that experienced in the “Great War”, as WWI was known, then the simulated model can account for about 4% of the investment drop in 1938. Output decrease in the model account for 8% of output drop in 1938. Consumption in the model stays constantly slightly above the trend, thus not accounting at all for the observed behaviour in the data. The same is true for hours worked, but for the fact that this variable shows a slightly decreasing path, accounting in 1938 for merely about 1.5% of the observed slump in actual hours worked. If the maximum value δ = 0.5 is chosen for simulation, than the model can account for a greater proportion of output, investment and hours drop in 1938, respectively of 37.5%, 74% and 53%. Consumption shows instead a counterfactual behaviour, increasing steadily up to 2% above trend. This exercise shows that in this type of models, war expectations could play a role in explaining investment dynamics only if the dimension of the expected disruptions induced by the war were very big. In the model, this translates in an expected loss of capital stock that is much bigger than that caused by WWI. Historically, this seems not plausible. People could well have being judging increasingly probable a war, starting, say, from 1936. Yet it is highly improbable that they were expecting something as ruinous as being four-five times WWI. Moreover, if introducing “realistic” war expectations in the model is likely to slightly improve on the results based on TFP shocks, for what concerns inputs and output, yet the model would fare slightly worse as far as consumption is concerned. 100 The Belgian Great Depression Detrended Y 110 100 90 80 70 60 50 40 1929 1930 1931 Model - TFP 1932 Data 1933 1934 Model - Exp War 1935 1936 1937 1938 Model - Exp War delta WWI Detrended C 110 100 90 80 70 60 50 40 1929 1930 Model - TFP 1931 1932 Data 1933 1934 Model - Exp War 1935 1936 1937 1938 Model - Exp War delta WWI Figure 4.13: Simulation: RBC model with unexpected TFP shocks, actual economy and RBC model with war anticipation 4.6 War expectations and investments 101 Detrended I 110 100 90 80 70 60 50 40 1929 1930 1931 Model - TFP 1932 1933 Data 1934 1935 Model - Exp War 1936 1937 1938 Model - Exp War delta WWI L 110 100 90 80 70 60 50 40 1929 1930 1931 Model - TFP 1932 Data 1933 1934 Model - Exp War 1935 1936 1937 1938 Model - Exp War delta WWI Figure 4.14: Simulation: RBC model with unexpected TFP shocks, actual economy and RBC model with war anticipation 102 The Belgian Great Depression All in all, war expectations could be a useful refinement of the model, but they do not seem decisive in accounting for the Belgian Great Depression. 4.7 Money and sticky wages Results with the benchmark RBC model suggest that an explanation of the onset of the Great Depression in Belgium must rely on explaining the behaviour of the labour input mainly. In facts, detrended output decreased already in 1930, whereas TFP stayed above the trend till 1931, to start decreasing only later on. 25 Unemployment rate 1921-1939 20 15 10 y = -0.5895x + 12.49 R2 = 0.5335 5 0 -15 -10 -5 0 5 10 15 20 25 -5 Nominal hourly wages annual variation rate 1921-1939 Figure 4.15: Phillips curve, Belgium 1921-1939. Source: Goossens, Peeters, and Pepermans (1988) 4.7 Money and sticky wages 103 As real wages were actually increasing up to 1932, data seem to suggest that high real wages might be a culprit for explaining hours’ behaviour. At the same time, nominal wages were sharply decreasing between 1930 and 1935. This suggests that nominal variables must be taken into account as well. As price level dropped by 25% in the same period (figure 4.7), a possible story is that nominal wages had some staggering, so that prices decreased more than nominal wages, resulting in increased real wages and, consequently, in unemployment. This is the position held for instance by Goossens (1988). This explanation would imply the existence in the data of a downward sloping Phillips curve, i.e. a negative relation between the variation rate of monetary wages (or inflation) and the unemployment rate. Cassiers (1989b) argues such a relation is indeed evident for Belgium in the 1929-1932 years. In figure 4.15, I plotted a standard Phillips curve for the 1921-1938 period. The figure suggests the existence of an inverse relation between the two variables.7 If, according to this evidence, sticky wages may be a plausible propagation mechanism for the Great Depression in Belgium, we still have to identify a source for deflation. According to the historians of the period, a major role in this respect was played by exchange-rate problems in the context of the Gold-Standard regime. When in 1931 Great Britain devaluated the pound, so the story goes, the Belgian franc got overvalued, forcing domestic authorities to deflate the economy in order to keep market quotas intact for the export sector. In that context of exchange-rate pegging, money supply had become quasi-endogenous, as it adjusted to the trade balance following pre-determined rules. This means that the Belgian Central Bank had to move the discount rate and the monetary base in order to keep the value of the Belgian Franc stable, whenever trade balance showed a surplus or a deficit. In the event of a unilateral devaluation by an important commercial partner, the monetary authority had to sterilize 7 I repeat the same exercise in figure 4.16, substituting the inflation rate to the nominal wages variation rate. Though the scatter again suggests a negative relation between the two variables, the evidence here is less conclusive than in the previous graph. This can be interpreted as evidence that monetary wages and CPI followed different patterns, as the latter could have been more influenced by exchange rate troubles. 104 The Belgian Great Depression the subsequent gold inflow, and to deflate internal prices in order to keep competitiveness on foreign markets. This direct link between exchange rate and money supply in a Gold-Standard regime suggests that, in the task of modeling the nominal shock that we may want to hold as responsible for the onset of the Belgian Great Depression, we can use exogenous monetary shocks as a proxy for exchange-rate variations. The use of this shortcut is also supported by the data on nominal money. There was indeed a monetary contraction starting from 1931 (see figure 4.7). 25 Unemployment rate 1921-1938 20 15 10 5 y = -0.4373x + 10.31 R2 = 0.4056 0 -15 -10 -5 0 5 10 15 20 25 30 -5 1914-based CPI index annual variation rate 1921-1938 Figure 4.16: Inflation-Unemployment trade-off, Belgium 1921-1938. Sources: Banque Nationale de Belgique (1943a), Banque Nationale de Belgique (1943b) and Goossens, Peeters, and Pepermans (1988) At the light of these arguments, I shall investigate the role of nominal shocks and sticky wages, in a closed-economy monetary model with contractstaggering. For all its being but a rough shortcut, by means of this trick 4.7 Money and sticky wages 105 I shall be able to produce a first assessment of the role of sticky wages and nominal shocks, while retaining a simple model. Moreover the use of a closed-economy model shall make the result directly comparable with those of section 4.5. 4.7.1 The model I modify the model of section 4.5.1 to introduce sticky wages and monetary shocks. I have taken inspiration from Bordo, Erceg, and Evans (2000), who carried out a similar analysis for the United States. First, I assume fixed labour supply. Second, I postulate a nominal wage rigidity à la Taylor (1980).8 In this setting, workers are divided into two cohorts, each one fixing her nominal contract-wage for two years. The contract scheme is such that, say, cohort one fixes her contract in t for periods t and t + 1, while cohort two fixes her contract in t + 1 for periods t + 1 and t + 2. Then cohort one will fix her contract in period t + 2 for periods t + 2 and t + 3, and so on and so forth. Thus in each period t, there will be two different contracts, the one of the cohort who fixed it in period t − 1 and the one of the cohort who fixes it in period t. Calling χt the contract set in period t, the average nominal wage in period t will be 1 1 2 Wt = χt2 χt−1 Each contract is fixed according to the following rule. 1 ξ lt lt+1 ln (χt ) = [ln (Wt ) + Et (ln (Wt+1 ))] + ln ¯ + ln . ¯l 2 2 l (4.6) (4.7) The meaning of equation 4.7 is that, when negotiating contracts, rational agents set them at the geometric mean of current average wage and expected future average wage, as they know they will not be able to modify the contract next period. The last term on the right hand side makes contracts depend upon general labour market conditions: the contract will 8 I use Taylor-staggering, as Bordo, Erceg, and Evans (2000) do, because it is the simplest way to make my point on the possible role of sticky wages, in presence of monetary shocks. Nonetheless, I admit that a proper micro-foundation for wage stickiness would make the model more robust. 106 The Belgian Great Depression be positively (negatively) influenced by the hours worked being higher (lower) than a benchmark level ¯l, which is the steady-state level, when wages are perfectly flexible and labour supply is endogenous. By substituting equation 4.7 in equation 4.6, and assuming perfect foresight, I get 1 ξ lt lt+1 lt−1 1 2 ln ¯ + ln + ln , ln(Wt ) = ln(Wt+1 ) + ln(Wt−1 ) + ¯l ¯l 2 2 2 l (4.8) which gives the expression of the average wage in time t as a function of past and expected future values of the average wage, and of past, present and future conditions on the labour market. Finally, I assume that agents draw utility from holding real money balances. The timing assumption is that agents draw utility from the real t quantity of money mt = M that remains at the end of period t, after purPt chasing consumption goods.9 Therefore the problem of the representative household will be max {ct ,mt ,kt+1 }∞ t=0 Et ∞ X β t [µ ln(ct ) + (1 − µ) ln(mt )], t=0 under the constraints: ct + kt+1 + mt ≤ (1 − δ)kt + yt + mt−1 + τ, 1 + πt yt = est ktα (xt lt )1−α , st = ρst−1 + vt , xt = γ t x0 , 0 < ρ < 1, ζt = ln (Mt ) − ln (Mt−1 ), ζt − ζ̂ = θt θt = ηθt−1 + νt , Pt − Pt−1 , πt ≡ Pt−1 9 See Carlstrom and Fuerst (2001) for alternative timing assumptions. (4.9) 4.7 Money and sticky wages 107 k0 = given, s0 = given, θ0 = given where vt and νt are zero-mean i.i.d. innovations; τt is a lump-sum nominal transfer paid by the government when it issues money, which in equilibmt−1 , in order to get govrium must be equal to the seignorage, mt − (1+π t) ernment budget balance; ζt is the growth rate of per-capita money stock, which is assumed to follow and AR(1) process, with ζ̂ and η given parameters. I assume complete markets, perfect competition in the good market and perfect foresight. Computing the first order conditions for this problem, and detrending all the variables, the relevant equations for characterising a solution are γ k̃t+1 lt+1 1 1 1 − δ + αest+1 = Et β c˜t c̃t+1 γ k̃t+1 = (1 − δ)k̃t + est k̃tα lt1−α − c̃t − m̃t + !α−1 ; (4.10) m̃t−1 + τ̃ ; γ(1 + πt ) (4.11) 1−µ µ it = ; m̃t c̃t 1 + it α−1 1−α 1 − δ + αest+1 k̃t+1 lt+1 = ln(w̃t ) = 1 + it ; 1 + πt+1 (4.12) (4.13) 1 1 1 1 ln(w̃t+1 ) + ln(1 + πt+1 ) + ln(w̃t−1 ) − ln(1 + πt ) + 2 2 2 2 lt+1 lt−1 ξ lt + 2 ln ¯ + ln + ln ; (4.14) ¯l ¯l 2 l w̃t = (1 − α)est k̃tα lt−α ; (4.15) plus a transversality condition. The first two equations are the usual Euler condition and the resource constraint, respectively. Equation 4.12 is the money demand, which turns 108 The Belgian Great Depression out to be a function of current consumption and the nominal interest rate it .10 Equation 4.13 is the Fisher equation, stating that nominal interest rates must be equal to the real interest rate, i.e. the marginal product of capital, plus the expected inflation rate.11 Equation 4.14 gives the rule of formation of detrended real wages w̃. It comes from detrending equation 4.8. Its role in the model is to determine hours worked, via the labour demand (equation 4.15). 4.7.2 Calibration Table 4.2 shows the parametrization of the model. The unit period is the year. The parameters α, β, γ, δ and ρ are the same as in section 4.5.2. β γ δ α ξ ρ η µ ζ̂ 0.96 1.03 0.1 0.33 0.0148 0.99 0.14 0.5 0.05 Table 4.2: Parameters’ calibration The parameter ζ̂ is the average annual growth rate of nominal money supply. The typical value for this variable is 0.05 (Walsh (2003)). To check for its adequacy for Belgium in the period under exam, I estimated ζ̂ by 10 A clarification on timing. I define it as the nominal interest rate paid in period t + 1 to the owners of bonds issued in period t. 11 The Fisher equation reported in the text can be formally derived by adding bonds as a choice variable in the model. Given that bonds play no other role in my model, I have dropped them, and just added the Fisher equation as an exogenous definition of the nominal interest rate. 4.7 Money and sticky wages 109 running the following AR(1) on the available data for the interwar period: ζt = (1 − η)ζ̂ + ηζt−1 + νt . The result is ζ̂ = 0.047.12 The parameter η is estimated by regressing θt as an AR(1) without drift. The relative weight of consumption and real balances in the utility function plays no role in the dynamics, so there is no need to calibrate it. I choose µ = 0.5. 0.3 0.25 0.2 0.15 0.1 0.05 0 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 -0.05 -0.1 -0.15 -0.2 -0.25 Ni Figure 4.17: Estimated monetary shock νt 12 Bordo, Erceg, and Evans (2000) run a similar regression on quarterly U.S. data, limited to the period 1922:2-1928:4. Adjusted on yearly basis, their estimations gives a value of 0.02 for ζ̂. 110 The Belgian Great Depression The trickiest parameter to calibrate is ξ. This parameter gives the elasticity of nominal contracts to labour market conditions. An high value of ξ means a relatively lower degree of wage rigidity: nominal contracts react more fast to hours worked being above or below the steady state value. Viceversa, a low value of ξ implies an higher degree of rigidity. Estimates on quarterly U.S. data by Bordo, Erceg, and Evans (2000) gave ξ = 0.0037. This value was chosen by the authors as the one that minimises the average square difference between the observed and the simulated real-wage series. Their estimation was run on the period 1929:4-1933:2. Given that I have yearly data, I have chosen the benchmark ξ to be four times their estimation. Then, I have run a sensitivity analysis as follows. I have compared the growth rates of the series implied by the model with that of the data for threshold values of ξ. These values are chosen as to be two times, four times, one-fourth and one-eightieth the benchmark value. The model was simulated after feeding in the series of the estimated νt . This is the series of the residuals from regressing θt , the deviation of the growth rate of nominal money supply from its long-run average value, as an AR(1). It stands for unexpected monetary shock, and it is plotted in figure 4.17. Productivity shocks were set to zero.13 Figure 4.18 shows the results of this sensitivity exercise. It is clear from it that the choice of ξ within the range of numbers considered does not affect results in any important way. The figure also shows that my benchmark value of 0.0148 is a conservative one, with respect to the observed wage rigidity. This guarantees that, if anything, the approximation will run against the objective of this model, which is to account for the Great Depression in Belgium by means of wage rigidities and monetary shocks. 13 I shut down productivity shocks because, as the data suggest that nominal shocks might have been important, I want to isolate the effect of purely nominal shocks first, without confusing them with other sources of fluctuations. Section 4.7.6 takes productivity shocks back into account, and shows that nominal shocks were indeed crucial. 4.7 Money and sticky wages 4.7.3 111 Simulation I assume the model economy to be in steady state in 1929. I feed in the monetary shock series as explained before, and I set TFP shocks to be zero. Figures 4.19, 4.20 and 4.21 show the dynamic response of the model to the unexpected monetary shock, and compare it with the dynamics of the data. Detrended W 120 115 110 105 100 95 90 85 80 1929 1930 Model (csi = 0.0148) 1931 Data 1932 Model (csi = 0.0592) 1933 1934 Model (csi = 0.0037) 1935 1936 Model (csi = 0.0296) 1937 Model (csi = 0.00185) Figure 4.18: Sensitivity analysis for calibrating ξ: model wages versus actual series. The model reproduces about 115% of 1929-1934 the output drop. Simulated output jumps back near to trend in 1935-36, to witness a 10% further drop below the trend in 1937. On the contrary, in the data detrended output stagnated around 20% below trend in 1935-1937. 112 The Belgian Great Depression The model predicts slightly more than 100% of the 1929-1934 consumption drop. As far the 1935-1937 period is concerned, the model differs from the data much in the same vain as output does. Investments drop is overestimated by the model, which accounts for about 110% of the actual drop between 1929 and 1934. Again, the model witnesses a recovery after 1935 which is not in the data. The same pattern is to be observed as far as hours worked is concerned. At the trough of the depression, the model’s hours are 35% below trend, whereas in the data they were “only” 21% below trend. The model shows a recovery in 1935-1936 which is not in the data. However, it matches the 1937 value. Figure 4.21 show that the model fits reasonably well the behaviour of real cash balances, whereas it witnesses some problems as far as the inflation rate is concerned. In particular, the model dramatically overestimates the 1935 value.14 4.7.4 Comments on the results The exercise performed above shows that monetary shocks with nominal sticky wages provides a step in the right direction for an explanation of the slump in the early 1930s. This goes in the direction put forward by the historians. The improvement on the simpler RBC model of section 4.5 is appreciable, especially for what concerns the behaviour of investments and hours worked. There are still three aspects under which the model is not satisfactory. First, the model predicts an initial increase of detrended output in 1930, which is at variance with the data. 14 For the sake of comparison, the price levels in figure 4.21 are built upon the inflation rate, using the formula Pt+n = Pt n Y j=0 (1 + πt+n−j ) , for n = [1, 2, . . .], 4.7 Money and sticky wages 113 Detrended Y 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 1933 Model 1934 1935 1936 1937 1934 1935 1936 1937 Data Detrended C 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 1933 Model Data Figure 4.19: Simulation: model with sticky wages and monetary shocks versus actual data 114 The Belgian Great Depression Detrended I 120 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 1933 Model 1934 1935 1936 1937 1934 1935 1936 1937 Data L 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 1933 Model Data Figure 4.20: Simulation: model with sticky wages and monetary shocks versus actual data 4.7 Money and sticky wages 115 Detrended M/P 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 1933 Model 1934 1935 1936 1937 1934 1935 1936 1937 Data P 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 1933 Model Data Figure 4.21: Simulation: model with sticky wages and monetary shocks versus actual data 116 The Belgian Great Depression Second, it overestimates output and investment dynamics in 1929-1934, meaning that either the propagation mechanism is too strong, or the impulse mechanism was mismeasured, i.e. I fed in a monetary shock that was too big. The third unsatisfactory aspect of the model is that it fails to explain the 1935-1937 absence of recovery. A first interpretation of this finding is that I mismeasured the monetary expansion due to the 1935 devaluation. The sudden upsurge in 1935 estimated νt in figure 4.17 and the abnormal model inflation dynamics in figure 4.21, both suggests this might be the case. Another possible interpretation is that the model assumes a symmetric wage staggering. That is, wages are assumed to be be as sticky downwards as they are upwards. Therefore, the big monetary expansion led by the devaluation of 1935 causes inflation to increase in the model, thereby dragging real wages downwards. In facts, what we observe in the data (figure 4.18) is rather the contrary: after 1935 detrended real wages suddenly increased further above the trend. 4.7.5 Asymmetric wage rigidity As suggested here above, a possible interpretation of the inability of the sticky-wages model to account for the 1935-1937 absence of recovery is that we may need a model in which nominal wage rigidity is asymmetric, with wages being rigid downwards, but flexible upwards. This interpretation may find support from historical evidence suggesting that in 1936 a wave of strikes spreading from the near France shacked the country, with an appreciable, if not enduring, effect on increasing nominal wages (Baudhuin (1961)). To verify such an hyothesis, I have carried out the following experiment. I have split the 1929-1937 period into two subperiods. In the first one, covering the 1929-1934 years, I have assumed the same model as in the previous section, with Taylor-wage-staggering and monetary shocks. In the second period, covering the 1935-1937 years, I have assumed a competitive labour market, with endogenous labour supply and monetary shocks. The leisure choice appears in the utility function in log-additive where Pt = 100 and t = 1929. 4.7 Money and sticky wages 117 terms. Results are shown in figures 4.22, 4.23, 4.24 and 4.25. The exercise does not confirm the hypothesis that asymmetric wage rigidity could have played a role. The dynamics of the model with competitive wages since 1935 is only slightly less accentuated than that with Taylor-staggering. The reason for the qualitative behaviour of the modeleconomy is that by construction the model-economy is always on a saddlepath converging to the steady state. This means that if the economy is far below the steady state, mechanisms do exist for convergence to be achieved, in the absence of shocks. In particular, the starting point in 1934 was characterized by capital, output and consumption below- and real wages above the steady state. This means that investments must “overshoot” to build up new capital stock, while workers will substitute the relatively expensive leisure for consumption.15 In conclusion, it seems that an additional negative shock is required to account for the 1935-37 absence of recovery. 15 Simulations with the same model and zero monetary shocks produce identical results, meaning that, in the model-economy with competitive wages, positive nominal shocks play no role for the recovery. On the contrary, if I shut down the monetary shock for the same period in the Taylor scenario, the recovery is much smoother. The reason is that it takes time for wages to adjust, while nominal disturbances still have a (tiny) autoregressive component. As expected, if I assume that the economy was in steady state in 1934, then the big positive monetary shock of 1935 has important real effects in the model with Taylor-staggering. 118 The Belgian Great Depression Detrended Y 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 Model 1933 Data 1934 1935 1936 1937 1935 1936 1937 Model - comp w since '34 Detrended C 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 Model 1933 Data 1934 Model - comp w since '34 Figure 4.22: Simulation: model with monetary shocks, sticky wages till 1934 and competitive ones thereafter versus actual data 4.7 Money and sticky wages 119 Detrended I 120 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 Model 1933 Data 1934 1935 1936 1937 1935 1936 1937 Model - comp w since '34 L 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 Model 1933 Data 1934 Model - comp w since '34 Figure 4.23: Simulation: model with monetary shocks, sticky wages till 1934 and competitive ones thereafter versus actual data 120 The Belgian Great Depression Detrended M/P 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 Model 1933 Data 1934 1935 1936 1937 1935 1936 1937 Model - comp w since '34 P 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 Model 1933 Data 1934 Model - comp w since 34 Figure 4.24: Simulation: model with monetary shocks, sticky wages till 1934 and competitive ones thereafter versus actual data 4.7 Money and sticky wages 121 Detrended W 125 120 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 Model - Money 1933 Data 1934 1935 1936 1937 Model - comp w since '34 Figure 4.25: Simulation: model with monetary shocks, sticky wages till 1934 and competitive ones thereafter versus actual data 122 The Belgian Great Depression Detrended Y 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 1933 Model - Money Data 1934 1935 1936 1937 1935 1936 1937 Model - TFP Detrended C 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 Model - Money 1933 Data 1934 Model - TFP Figure 4.26: Simulation: model with sticky wages and monetary shocks, actual data and model with sticky wages and TFP shocks 4.7 Money and sticky wages 123 Detrended I 120 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 1933 Model - Money Data 1934 1935 1936 1937 1935 1936 1937 Model - TFP L 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 Model - Money 1933 Data 1934 Model - TFP Figure 4.27: Simulation: model with sticky wages and monetary shocks, actual data and model with sticky wages and TFP shocks 124 The Belgian Great Depression Detrended M/P 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 1933 Model - Money Data 1934 1935 1936 1937 1935 1936 1937 Model - TFP P 130 125 120 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 Model - Money 1933 Data 1934 Model - TFP Figure 4.28: Simulation: model with sticky wages and monetary shocks, actual data and model with sticky wages and TFP shocks 4.7 Money and sticky wages 125 Detrended W 125 120 115 110 105 100 95 90 85 80 75 70 65 60 55 50 45 40 35 1929 1930 1931 1932 Model - Money 1933 Data 1934 1935 1936 1937 Model - TFP Figure 4.29: Simulation: model with sticky wages and monetary shocks, actual data and model with sticky wages and TFP shocks 126 4.7.6 The Belgian Great Depression TFP shocks and sticky wages This section serves the purpose of showing how the monetary model with sticky wages would fare, were TFP shocks the only impulse mechanism at work during the Belgian Great Depression. The contribution of this exercise is to disentangle whether the Great Depression was really a monetary phenomenon, or rather whether if nominal wage stickiness is assumed, TFP shocks and monetary shocks have comparable data-mimicking abilities. In order to carry out this exercise, I set monetary shocks to zero and I feed in the TFP shocks as in section 4.5. Results are shown in figures 4.26, 4.27, 4.28 and 4.29. As can be easily seen from the graphs, TFP shocks perform worse than monetary shocks in accounting for the onset of the Great Depression. Indeed, the presence of Taylor staggering in nominal wages does not produce appreciable improvements on the transmission mechanism of TFP shocks, with respect to the baseline model of section 4.5. Like the latter, the model performs relatively better than the monetary one in accounting for the 1935-37 years. As expected, the model produces counterfactual inflation dynamics, and a poorer fitting of the real cash balances. However, such a feature is meaningless, as those variables are strictly dependent on the behaviour of the money supply. Given that I have constrained the growth rate of money supply ζ to be equal to ζ̂, by setting θ = 0, it is no surprise that the fitting is worsened. My conclusion from this exercise is that wage stickiness may be an important transmission mechanism in a model with monetary shocks, but plays no appreciable role in one with TFP shocks. 4.8 A small-open-economy RBC model So far, the argument has run within a closed-economy set up. For all its being in line with the literature on RBC models of the Great Depression, still such a perspective contrasts with the common wisdom among historians, who maintain that the Belgian Great Depression is bet- 4.8 A small-open-economy RBC model 127 ter understood once the small open economy dimension is taken into account (Cassiers (1989a)). A robustness check seems therefore in order. This section illustrates how results are likely to be modified once we extend the analysis to encompass the open-economy dimension. As a complete analysis of the open-economy scenario falls beyond the limits of the present work, I shall limit myself to a very basic RBC model, ignoring the complications coming from money and price stickiness, and from exchange rates as well. 4.8.1 The model The model draws on Mendoza (1991), and is a modified version of that of section 4.5. It is assumed that the economy can exchange assets with the rest of the world. These assets pay a constant real interest rate r∗ . The small-open-economy assumption implies that the domestic economy cannot influence the value of r∗ . Therefore, in a deterministic set-up a no-arbitrage condition must exist: ex-ante, the domestic real interest rate, which is equal to the marginal product of capital, ought in turn to be equal to r∗ . The obvious implication is that, if an ex-ante discrepancy between r and r∗ is observed, capital and hours worked have to adjust until the no-arbitrage condition is again satisfied. A crucial assumption is that foreigners cannot own domestic physical capital. Labour is immobile, and markets are incomplete, in the sense that no contracts contingent on the realization of the shocks exist. Of course, the presence of lending and borrowing on the world market provides agents with some insurance. Let bt be the value of per capita net foreign assets held by the representative household at the end of period t − 1. Following Obstfeld and Rogoff (1996), I define the current account balance in period t, CAt , as: CAt ≡ bt+1 − bt . Therefore, in this model the current account is the variation of the net claims of a country over the rest of the world.16 16 This concept corresponds to the traditional concept of current account balance as net 128 The Belgian Great Depression The presence of assets adds a variable to the optimization problem faced by our representative household, e.g. how many assets to hold at the end of the period, given his initial dotation. Thereby, the model of section 4.5 becomes: max {ct ,lt ,kt+1 ,bt+1 }∞ t=0 Et ∞ X β t [ln(ct ) + φ ln(1 − lt )], (4.16) t=0 under the constraints: ct + kt+1 + bt+1 ≤ (1 − δ)kt + yt + (1 + r∗ )bt , yt = est ktα (xt lt )1−α , st = ρst−1 + vt , xt = γ t x0 0 < ρ < 1, k0 = given, b0 = given, s0 = given. I assume perfect foresight. Computing the first order conditions of this problem, and detrending all the variable, the relevant equations for characterising a solution are: 1 β 1 = (1 + r∗ ) ; c˜t γ c̃t+1 (4.17) exports. To see that, decompose the budget constraint ct + kt+1 + bt+1 = (1 − δ)kt + yt + (1 + r∗ )bt into kt+1 = (1 − δ)kt + it it = yt − ct + r∗ bt − CAt . As the first three terms on the right-hand side corresponds to national savings, and remembering from national accounts that I − S = M − X, where M stands for imports and X for exports, it follows that CA = X − M , where everything is expressed in per capita terms. 4.8 A small-open-economy RBC model 1 − δ + αest+1 k̃t+1 lt+1 129 !α−1 = 1 + r∗ ; γ(k̃t+1 + b̃t+1 ) = (1 + r∗ )b̃t + (1 − δ)k̃t + est k̃tα lt1−α − c̃t ; φ 1 = est (1 − α) 1 − lt c̃t k̃t lt (4.18) (4.19) !α ; (4.20) plus transversality conditions. What is new here, with respect to the previous model, is the no-arbitrage condition in equation 4.18, whereas equations 4.17 and 4.19 give the open-economy version of the Euler equation and the budget constraint respectively. It is well known in the literature that this model presents stationarity problems (Correia, Neves, and Rebelo (1995), Kim and Kose (2003)). The reason is that in steady state the Euler equation 4.17 usually determines r. If instead both r and β are given, then the Euler equation plays no role anymore: any initial level of net assets is compatible with the deterministic steady state. Moreover, in a stochastic environment like the one I am considering here, net assets will follow a unit root process, e.g. any shock will hold permanent effects. Many ways exist to solve for this problem (Schmitt-Grohé and Uribe (2003)). I chose to impose a risk-premium on the real interest rate paid or received by the domestic economy. The idea is that the lower is the net asset holding of the country, or, when b is negative, the higher is its foreign debt, the higher will be the interest rate it has to pay to borrow more. So, in the model above, I shall substitute r∗ with rt = r∗ + ψ(e−bt − 1). (4.21) This trick stationarises the model, as now the steady state level of b is determined by the Euler equation, and turns out to be a function of r∗ and ψ only. 130 The Belgian Great Depression Detrended Y 110 100 90 80 70 60 50 40 1929 1930 1931 1932 1933 Open-Economy 1934 Data 1935 1936 1937 1938 1936 1937 1938 Closed-Economy Detrended C 110 100 90 80 70 60 50 40 1929 1930 1931 1932 1933 Open-Economy 1934 Data 1935 Closed-Economy Figure 4.30: Simulation: RBC open-economy and closed-economy models versus actual economy 4.8 A small-open-economy RBC model 131 Detrended I 120 110 100 90 80 70 60 50 40 1929 1930 1931 1932 1933 1934 Open-Economy Data 1935 1936 1937 1938 1936 1937 1938 Closed-Economy L 110 100 90 80 70 60 50 40 1929 1930 1931 1932 1933 Open-Economy 1934 Data 1935 Closed-Economy Figure 4.31: Simulation: RBC open-economy and closed-economy models versus actual economy 132 4.8.2 The Belgian Great Depression Calibration and simulation The model is calibrated as in section 4.5. The parameter ψ is calibrated so that the model matches the standard deviation of CA during the 1930s. y ∗ The steady-state world interest rate is given at r = βγ − 1. I assume the economy to be in steady state in 1929. In the model, the steady-state value of current account is assumed to be 0, as well as the initial and steady-state values of net foreign assets. I feed in TFP shocks as in section 4.5.17 Results are shown in figures 4.30, 4.31 and 4.32. β γ δ α φ ρ ψ r∗ 0.96 1.03 0.1 0.33 1.78 0.99 0.465 γ −1 β Table 4.3: Parameters’ calibration As evident from the graphs, no appreciable improvements on the closedeconomy RBC model of section 4.5 are observed. The two models hold the same explanatory power as to output, consumption and labour dynamics. The open-economy one fares slightly better in accounting for the investment drop, at the price of having a too much volatile investment behaviour after 1934. Such a feature is in full accordance with standard results in the literature: small-open-economy RBC models tends to accentuate investment volatility (Mendoza (1991)).18 As to the behaviour of the current account, the model performs rather 17 It is worth noticing that in an open-economy model context, TFP shocks encompass terms of trade variations, as aptly argued by Mendoza (1991). 18 Indeed, the typical model encompasses adjustment costs on capital, which I refrain from for the sake of comparability with the previous models. Intuitively, the presence of adjustment costs on capital will kill the excess volatility showed by the model in the end of the decade. At the same time, it is likely to worsen the predictive capacity of the model as to the initial drop. 4.8 A small-open-economy RBC model 133 poorly. It predicts a countercyclical behaviour of current account over output that is evidently at variance with the data. As this may be due to the assumption of a balanced steady-state current account, it can be useful to compare trends instead of levels. So, in figure 4.32, I also reported an additional line, which is the shifted data line, normalised so that the value of current account over output be zero in 1929. In comparing it with the model line, we see that both the direction and the amplitude of the variations of the current account ratio are at variance with model’s results. This simple exercise shows that, while elaborating on this oversimplified RBC open-economy model may lead towards interesting new results, yet the analysis presented in this paper proved to be robust enough to the closed-economy hypothesis. CA/Y 0.1 0.08 0.06 0.04 0.02 0 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 -0.02 -0.04 -0.06 -0.08 -0.1 Model Data Data 1929=0 Figure 4.32: Simulation: RBC open-economy and closed-economy models versus actual economy 134 The Belgian Great Depression Detrended Y 120 110 100 90 80 70 60 50 40 1929 1930 1931 Open-Economy 1932 1933 Data 1934 Closed-Economy 1935 1936 1937 1938 1937 1938 Open-Economy + r-shock Detrended C 110 100 90 80 70 60 50 40 1929 1930 1931 Open-Economy 1932 1933 Data 1934 Closed-Economy 1935 1936 Open-Economy + r-shock Figure 4.33: Simulation: Comparative effects of international interest rate shocks 4.8 A small-open-economy RBC model 135 Detrended I 300 250 200 150 100 50 0 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 -50 -100 Open-Economy Data Closed-Economy Open-Economy + r-shock L 110 100 90 80 70 60 50 40 1929 1930 1931 Open-Economy 1932 1933 Data 1934 Closed-Economy 1935 1936 1937 1938 Open-Economy + r-shock Figure 4.34: Simulation: Comparative effects of international interest rate shocks 136 The Belgian Great Depression Extension: shocks on r∗ 4.8.3 One may speculate if adding an additional source of fluctuations, one more directly linkable to the international dimension than TFP, can improve on the results obtained so far. To verify this conjecture, I run the same simulation as above, but assuming that the world interest rate, r∗ , was subject to an exogenous external shock, t . rt∗ = γ − 1 + t . β The shock series is obtained as the difference between the “theoretical” r∗ used in the previous simulation and the ex-post real interest rate observed for Belgium in the data. The shock t is assumed to be 0 in steady state. CA/Y 0.5 0.4 0.3 0.2 0.1 0 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 -0.1 -0.2 -0.3 -0.4 -0.5 Model Data Data 1929=0 Model + r-shock Figure 4.35: Simulation: Comparative effects of international interest rate shocks 4.9 Conclusions 137 The results of this exercise improve on the previous ones as to the behaviour of output and the labour input, particularly for what concerns the 1933-34 years (see figures 4.33, 4.34 and 4.35). However, the price of such an improvement is an abnormal volatility of investments and the current account, which at variance with the data. This sheds some shadow on the overall reliability of the results, and lead me to stick to my previous conclusion that, prima facie at least, the closed-economy analysis presented in this paper is relatively robust. 4.9 Conclusions This paper gives partial support to the accepted wisdom among historians, that sees the Great Depression in Belgium as essentially a monetary phenomenon, due to an external shock and propagated via sticky nominal wages. Results show that a DSGE model with nominal wage staggering à la Taylor and monetary shocks gives a reliable way of modeling the onset of Great Depression in Belgium. On the contrary, TFP shocks’ contribution appears to be slim, no matter whether cast in a perfect-competition, flexible-price model or in a sticky-wage environment. Introducing war expectations in the baseline RBC model produces little improvement on the results. None of the models considered in this paper is able to account for the absence of recovery after the 1935 devaluation. Further research is therefore necessary for a better understanding of the second half of the 1930s in Belgium. As explained in the text, I used monetary shocks as a shortcut for exchange rates problems. If such a perspective is arguably a good first approximation, still a more complete analysis of the Belgian Great Depression should go beyond the shortcut, and face the open-economy issues. Data show that Belgian imports and exports over income were as high as 30% in the interwar period. We know from historians that Belgian industries typically concentrated in the production of highly-standardised semimanufactured goods for foreign markets (Hogg (1986), Mommen (1994)). 138 The Belgian Great Depression Hence, it is safe to say that Belgium showed all the characteristics of the typical small open economy. Moreover, Belgium had an important bilateral relationship with the United Kingdom. These two characteristics, to be a small open economy and the importance of bilateral trade with the United Kingdom makes the Belgian case suitable to be analysed within two different frameworks in international macroeconomics. One is the small-open-economy version of the standard RBC model. Originally advanced by Mendoza (1991) in a pure RBC perspective, such a framework has recently been enriched by Galı̀ and Monacelli (2005) in a New Keynesian fashion, merging money, nominal frictions and monopolistic competition with the small-open-economy RBC model. In section 4.8, I made a first step towards this direction, by considering a baseline open-economy version of the standard RBC model. Results were not satisfactory, as no new clue on the Belgian Great Depression was gained. This was possibly due to the assumed oversimplified theoretical structure, that excluded monetary phenomena. Alternatively, one can think of using a two-country framework for modeling Belgium and the United Kingdom in the 1930s. This class of models has been pioneered in modern macroeconomics by Backus, Kehoe, and Kydland (1992) within a pure RBC set-up. It was then extended to a New Keynesian framework by Obstfeld and Rogoff (1995), and nowadays many versions of them exist.19 These extensions are left for future research. 19 See Lane (2001) for a survey. 4.10 Appendix: Data 4.10 139 Appendix: Data Real Interest Rate Nominal interest rates are monthly nominal returns on Belgian irredeemable bonds, expressed on a yearly basis (iy ). Real interest rates are computed in the following way. Using the monthly retail price index, I have computed a monthly rate of inflation. Then, I have calculated a monthly-based interest rate im according to the simple no arbitrage rule (1 + iy ) = (1 + im )12 . (4.22) Next, I have figured out a series for the monthly-based real interest rate (rm ), assuming a static version of the Fisher equation, it = rt + Et−1 πt , (4.23) with Et−1 πt = πt . Finally, I have used equation 4.22 to obtain an yearlybased monthly series for the real interest rate (ry ). The series so obtained covers the period 1920:1-1940:2. It shows high volatility, and seasonal components. In order to smooth down the series and to get rid of seasonality, I have computed a new series r̃y as a 12periods-moving average of ry . The new series covers the 1921:1-1940:2 subperiod, and is the one graphed in figure 4.4. Unemployment Rate Monthly unemployment rates are computed in the following way. I took data from the Banque Nationale de Belgique regarding monthly total working days lost per 1000 insured and per week. Dividing each number by 10, I obtained the monthly working days lost because of unemployment per 100 insured and per week. To get a percentage referring to men rather than to weeks, I divide that amount by 6, the number of working days in a week. This procedure gives but a rough measure of unemployment for several reasons. First, according to the Banque Nationale de Belgique, at December 31st, 1930, the total number of employed was 1,850,272, whereas 140 The Belgian Great Depression that of insured worker was just 695,045. Secondly, my procedure measures unemployment implicitly as if all the unemployed were so for all the week and the month long, which was not always the case, of course. Money Hogg (1986) provides series on monetary base, money multiplier and the aggregate M1. While the series for monetary base is complete, the ones for money multiplier and the aggregate M1 miss the 1934 value. I have reconstructed this value as follows. I took the 1934 money multiplier to be the average between the 1933 and the 1935 values. Then I multiply the so computed multiplier by the 1934 monetary base, to get the 1934 value for M1. Labour I have not a complete series of labour and employment data for the interwar era. Maddison (1995) reports data on total employment, labour force, annual hours worked per worker, and total hours worked for the years 1913, 1929, 1938, 1950, 1960, 1973, 1987. Moreover, unemployment rates from 1921 to 1938 and from 1950 to 1989 are also reported. I have used these data to build an artificial series of total employment in the following way. Taking the two values of labour force in 1913 and 1929, I have comlf puted a constant compounded rate of growth of the labour force g(13,29) using the formula r (1 + g) = n xn . x0 (4.24) I have repeated this exercise for each two subsequent values, so as to lf lf lf lf obtain g(29,38) , g(50,60) , g(60,73) , and g(73,87) . Then, I have assumed that the labour force lf evolved at a constant pace in each subperiod. Thus, for instance, the labour force in 1914 will be lf ). lf14 = lf13 (1 + g(13,29) (4.25) 4.10 Appendix: Data 141 This artificial series of the labour force is then used to obtain a total employment series (L), the variable we are interested in, by using the unemployment rate (u). This is done using this standard formula L = (1 − u)lf, (4.26) which uses the fact that employment and unemployment rates are defined as the ratios of the number of employed and unemployed, respectively, over the labour force, and therefore are complements to 1. As it is clear from this account, the information I got about the numbers of employed is basically driven by the unemployment rate. 25 20 % 15 10 5 0 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 Year u Mad u_comp u Gos Figure 4.36: Unemployment rate: a comparison of different estimates. Sources: u Mad, Maddison (1995); u comp, yearly geometric mean of the monthly rate in figure 4.4; u Gos, Goossens, Peeters, and Pepermans (1988) In order to have an idea of the bias I am introducing by means of this procedure, I compared the artificial series with the data provided by the 142 The Belgian Great Depression Belgian Planning Bureau for the period 1953-1988.20 Results showed a similar behaviour between the two series. The artificial series tends to fit the actual one in the mid-sixties and in the late eighties, and to underestimate total employment in the remaining years. After this robustness check, I have run again the above mentioned computations, substituting the unemployment rate taken from Goossens, Peeters, and Pepermans (1988), for that used by Maddison. This was done because Maddison’s numbers seem to underestimate the unemployment rate. Figure 4.36 reports data from different sources. The underestimation appears evident, especially during the 1930s. To get hours worked, I took the employment series, I multiplied it first by 48, the maximum legal working hours per week, and then by 50, the numbers of per year working weeks in 1929, according to Maddison (1995). As to the working age population, available data cover only the years 1920, 1930, 1935, 1939. I interpolated such data to obtain a series (N ). Capital To the best of my knowledge there exists no complete capital series for the Belgian economy in the interwar period. This means that I have to rely on some estimation. The standard procedure is to estimate capital by using the perpetualinventory method, that is the relation Kt+1 = (1 − δ)Kt + It (4.27) A problem with this method is how to give a reliable estimate of the initial value K0 . My choice was to deduce K0 from Neoclassical growth theory. From the law of motion of capital, we know it must be true that (1 + n)Kt+1 = (1 − δ)Kt + It , (4.28) where n stands for the growth rate of population, that we assume to be constant in the long run. Calling g the constant growth rate of capital, and 20 I thank David de la Croix for providing me these data. 4.10 Appendix: Data 143 solving equation 4.28 for Kt we got It . n+g+δ Kt = (4.29) 100000 90000 80000 Million of bf 1936-38 70000 60000 50000 40000 30000 20000 10000 8 6 4 2 0 8 6 4 0 19 4 19 3 19 3 19 3 19 3 19 3 19 2 19 2 2 19 2 8 6 4 2 0 8 6 4 2 0 19 2 19 2 19 1 19 1 19 1 19 1 19 1 19 0 19 0 19 0 19 0 19 0 0 0 Year K K corr Figure 4.37: Capital before and after correcting for WWI. Source: my elaboration on van Meerten (2003) Given that Neoclassical theory tells us that along the balanced growth path the growth rate of capital is the same as the growth rate of output, I assumed g to be the constant growth rate of output estimated in section 4.4.1. Then I took data on investments from van Meerten (2003), which has a long 1900-1960 series expressed in 1936-38 Belgian francs, that is therefore comparable with the other data I used in this study. I assumed δ = 0.1 and then applied formula 4.29 to get an estimate of capital in 1900. In doing that, I am implicitly assuming the economy was in steady state in 1900. From this initial value, I computed a capital series by means of equation 4.27. 144 The Belgian Great Depression To take into account the effect of the first world war, I did the following. According to Encyclopedia Britannica Belgium lost between 16 and 20% of its wealth during the war. I took this to mean that the capital stock in 1919 was 20% less than what it would have been had been no war. Then I solved the following equation for δ: K19 = K13 (1−δ)6 +I13 (1−δ)5 +I14 (1−δ)4 +I15 (1−δ)3 +I16 (1−δ)2 +I17 (1−δ)+I18 . In this way I am considering physical destructions brought about by the war as an exogenous increase in the constant depreciation rate of capital. Figure 4.37 shows my estimation and the significance of the correction operated. Chapter 5 Prospects for Future Research After the work of Cole and Ohanian (1999), the Great Depression of the 1930s is again on top of research agendas. The possibility of applying the modern macroeconomics toolbox to the different aspects of the phenomenon has opened exciting new perspectives. On the other hand, the increasing specialization of economists in abstract analytical models calls for a renewed effort in reflexive works. My ambition for the future is to be able to contribute to both. 5.1 The Belgian case: an open-economy perspective A first extension of the present work is to enrich the admittedly poor openeconomy dimension of the Belgian-case analysis, as indicated in the conclusions section of chapter 4. The value-added of such an expansion is twofold. First, the very nature of the Belgian economy calls for an openeconomy analysis, if only for a robustness check of the closed-economy one. Second, the fact of tackling the Great Depression by means of an enriched model, encompassing the open-economy dimension as well as nominal rigidities, will make the analysis more directly comparable with those of renown historians of the period, like Cassiers (1989a), Eichengreen (1992) and Feinstein, Temin, and Toniolo (1997). Though limited to the Belgian case, such a possibility is of high interest, as the comparison 146 Prospects for Future Research between modern macroeconomics and economic history on the Great Depression is currently on the frontier of research in the profession. The direction that the research will take after the analysis discussed in chapter 4 will obviously depend upon the results. Methodologically, DSGE modeling is data-driven, indeed. My guess is that an exploration of the monetary dimension is likely to enrich our understanding of the phenomenon. In chapter 4, I showed that, in a closed-economy set-up, the introduction of monetary shocks and nominal wage rigidities improve on the standard RBC story. Given the direct link between monetary policy, trade balance and exchange rate in a Gold-Standard regime, I would argue that a monetary model with exchange-rate shocks can be a suitable model to analyze the Great Depression in Belgium. I particular, such a model can be of help in clarifying the conundrum of the 1935-1937 years, whose explanation is still wanting. 5.2 Involuntary unemployment and the Great Depression A second extension concerns the unemployment theme.1 Unemployment is obviously an important feature of the real world. Yet this concept, in its layman meaning of a non-chosen and unpleasant status for the individual, has proved to be difficult to treat within the Neoclassical paradigm (De Vroey (2004)). In particular, RBC theory treads in Lucas’ footsteps, assuming market clearing and optimising behaviour as the framework in which to cast economic facts. Non-chosen statuses, i.e. disequilibrium outcomes, are typically assumed away, and business cycles are considered as changing-in-time Walrasian equilibria (Mankiw (1989)). In principle, involuntary unemployment plays no role in this picture. Nonetheless, most economists would agree that historical episodes may exist for which involuntary unemployment should be an important part of the picture. The Great Depression of the 1930s stands prominently among them. 1 This is a joint project with Michel De Vroey. 5.2 Involuntary unemployment and the Great Depression 147 Hence my plan to reconsider the issue. The starting point shall be to give a new foundation to the involuntary unemployment concept. Admittedly, Lucas’s criticism to the overall validity of this notion is well founded. According to him, once unemployment is viewed as an activity within a set of available activities, the “involuntary” modifier loses any sense: agents who end up unemployed have just preferred unemployment against other possibilities (Lucas (1978)). The problem then is whether it is possible to re-found the concept while abiding by Lucas’s methodological premises. The way I would like to explore builds on De Vroey (1999). According to his definition, involuntary unemployment is a state of affairs in which an individual cannot choose any other socially respectable activity but unemployment. In other words, this individual faces a singleton choice that constraints him in an unemployment status. It is clear that under this definition involuntary unemployment strictu sensu is rarely observable. In practise, feasible alternatives to being on the dole, no matter how poor they may be, always exist. However, we can think of situations in which the set of individual choices contains so few elements that, compared to normal, the actual choice of the individual is approximately a forced one. If we assume that the number of possible alternatives in the choice-set of the individual varies within the business cycle, increasing during a boom, and decreasing during a slump, then a new interpretation of involuntary unemployment during the Great Depression emerges. The Great Depression would be characterized by a generalised dramatic restriction in the number of feasible alternative activities. Possibly nobody would be involuntarily unemployed, strictly speaking. Still, many people would have come closer to that extreme situation. Once this conceptual reconstruction is established, the next step would be to return to studies of unemployment in the 1930s like Baily (1983), Margo (1991) and Margo (1993), in order to assess whether they can fruitfully be reinterpreted in the light of these categories. Next, I shall look for factual evidence about shrinking choice-sets during the Great Depression. Economic statistics might be of little help in this respect. But my hunch is that such evidence might be sought for in the works by sociologists and psychologists on living conditions during the 148 Prospects for Future Research Great Depression. Abundant material of this sort exists. An example at hand is the study by contemporary sociologists of the case of the Austrian town Marienthal during winter 1931-1932. In this town almost the entire population fell unemployed, when the firm who employed most of them went bankrupted (Garraty (1976)). Another example is the survey on unemployed workers in Greenwich, London, in summer and autumn 1931 (Feinstein, Temin, and Toniolo (1997)). Both studies focus on the dismal status of despair and discouragement induced onto workers by the long spell of unemployment. This sort of evidence should be placed side by side with complementary evidence provided by economists, for instance the one proposed by Simon (2001). Comparing advertisements in the New York Times by people offering and demanding labour during the Great Depression, Simon argues that workers were plausibly constrained from the demand-side of the market, being, so to speak, outside their labour supply curve. His argument is based on the fact that job seekers were offering their services for earnings that were much lower than what employers actually offered for comparable positions. Rehabilitating involuntary unemployment as a legitimate concept for macroeconomic analyses of the Great Depression may lead to the raising of many interesting issues. In particular, such a rehabilitation can be of help in assessing whether the current RBC literature is doing a fair job when it comes to the Depression issue, or rather whether we need to look elsewhere, possibly to the new generation of models encompassing such a feature, like the recent one by Blanchard and Galı̀ (2006). 5.3 Expectations and the recovery from the US Great Depression The third extension to the present work I would like to pursue concerns a new assessment of the role of New Deal policies in the United States.2 Until recent years, historiography about the US Great Depression has 2 This is a joint project with Mauro Bambi. 5.3 Expectations and the recovery from the US Great Depression 149 been relatively uncontroversial. Indeed, if the cause of the Great Depression was debated, still there was an accepted wisdom about the main shape of the picture. The Great Contraction, so the argument runs, started after the Great Crash in Wall Street. A startling combination of bad monetary policies, debt-deflation, lack of international cooperation and bank failures jointly contributed to the slump. After Roosevelt seized the power, the devaluation of the dollar and the whole of the New Deal policies started dragging the American economy out of the depression. Eventually, the Great Depression was swept away by the outbreak of World War II.3 As shown in this thesis, this picture has been crushed by the emergence of a new stream of economic literature that cast the Great Depression within a DSGE framework. While so far this new literature has produced few new insights as to the onset of the Great Depression, the contrast with the previous accepted wisdom could not have been greater, for what concerns its protracted character. The new vision is that, far from prompting out a recovery, New Deal policies were instead the principle obstacle to it. According to this standpoint, New Deal policies is the answer to the question: “Why did the American economy remain depressed for so long?”. This radical change of perspective amounts at rehabilitating the so called “liquidationist” stance, a view held in the 1930s by great economists like von Hayek, Robbins and Schumpeter, and discarded subsequently after the Keynesian revolution.4 According to this view, depressions are the necessary consequence of the liquidation of bad investments, i.e. investments that seemed profitable ex-ante, but turned out to be not so ex-post. A direct consequence of the liquidationist standpoint is that any governmental intervention to cure a depression is deemed to be harmful, let alone effective. However, as shown in chapter 3, an alternative “anti-liquidationist” perspective on the Great Depression still exists.5 According to this view, the 1929-1932 contraction brought the economy to a state of affairs where 3 See De Long (1997), Eichengreen (1992) and Friedman and Schwartz (1963), to name but a few. 4 See Bernstein (1987) and De Long (1990). 5 See Summers (1986), and, more specifically, Temin and Wigmore (1990) 150 Prospects for Future Research any speedy recovery through the private sector alone was excluded. The idea is that a system failure was at work at the time, similar to that which happened during the collapse of communist regimes in Eastern Europe in the 1990s. In this context of a cumulative deflation leading towards a system collapse, so the story goes, New Deal policies acted as sign of a regime shift. The contrast between this standpoint and that of Cole and Ohanian (2004) is great. While the latter see New Deal policies as the element impeding a recovery that otherwise would have been there, Temin and Wigmore (1990) hold the opposite judgement. They think that New Deal policies, and the dollar devaluation in particular, dragged the American economy out of what was a cumulative depression, with no obvious recovery coming up. The aim of this research is to produce a model of this anti-liquidationist view of the Great Depression, and to compare it with the RBC models analysed in this work. This project is admittedly challenging. The anti-liquidationist view rejects the RBC idea that the Great Depression was the results of several negative persistent shocks. The basic intuition behind the reasoning by Temin and Wigmore (1990) is that a “Great Depression” is in some sense one of the possible equilibrium towards which a capitalistic economy may indeed converge, in force of history-specific conditions. In order to translate this standpoint from a narrative to a theoretical dimension, I shall explore models with global indeterminacy. Global indeterminacy means that the model-economy is characterized by multiple long-run equilibria. The actual selection of one among them depends on agents’ expectations, and it is therefore related to the short-run dynamics, when expectations are effectively formed. So, I shall interpret the Great Depression as the transitional path towards a new “lower” equilibrium. As the focus will be on the recovery aspect, I will not enter into the issue of what can explain such an initial shift from one equilibrium to the other, at least initially. 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(1981): “Some Macroeconomic Impacts of the National Recovery Act, 1933-1935,” in The Great Depression Revisited, ed. by K. Brunner. Martinus Nijhoff, Boston. List of Figures 3.1 Detrended data. US 1929-1939. Source: Cole and Ohanian (1999) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 Production of Investment Goods. Source: Temin and Wigmore (1990) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 3.3 Real GDP per capita. Source: Comin and Hobijn (2004) . . . 69 4.1 Output and expenditures. Source: Buyst (1997) . . . . . . . . 79 4.2 Expenditures over output. Source: Buyst (1997) . . . . . . . . 80 4.3 Consumption over output. Source: Buyst (1997) . . . . . . . 81 4.4 Real interest rate and unemployment rate. Source: my elaboration on Banque Nationale de Belgique (1943a) and Banque Nationale de Belgique (1943b) . . . . . . . . . . . . . . . . . . 82 Nominal and real wages. Source: Goossens, Peeters, and Pepermans (1988) . . . . . . . . . . . . . . . . . . . . . . . . . 83 Monthly retail price index and inflation. Source: Banque Nationale de Belgique (1943a) and Banque Nationale de Belgique (1943b) . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 Nominal money supply and retail price index (base 1914). Sources: Banque Nationale de Belgique (1943a) and Banque Nationale de Belgique (1943b) and Hogg (1986) . . . . . . . . 86 3.2 4.5 4.6 4.7 4.8 Selected exchange rates, 1919-1939. Source: Baudhuin (1946). 87 4.9 Detrended per capita data. Source: my elaboration on Buyst (1997) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 4.10 TFP: deterministic trend versus actual values. Source: my elaboration on Buyst (1997) . . . . . . . . . . . . . . . . . . . 92 166 LIST OF FIGURES 4.11 Simulation: RBC model versus actual economy . . . . . . . . 95 4.12 Simulation: RBC model versus actual economy . . . . . . . . 96 4.13 Simulation: RBC model with unexpected TFP shocks, actual economy and RBC model with war anticipation . . . . . . . 100 4.14 Simulation: RBC model with unexpected TFP shocks, actual economy and RBC model with war anticipation . . . . . . . 101 4.15 Phillips curve, Belgium 1921-1939. Source: Goossens, Peeters, and Pepermans (1988) . . . . . . . . . . . . . . . . . . . . . . 102 4.16 Inflation-Unemployment trade-off, Belgium 1921-1938. Sources: Banque Nationale de Belgique (1943a), Banque Nationale de Belgique (1943b) and Goossens, Peeters, and Pepermans (1988) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 4.17 Estimated monetary shock νt . . . . . . . . . . . . . . . . . . 109 4.18 Sensitivity analysis for calibrating ξ: model wages versus actual series. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 4.19 Simulation: model with sticky wages and monetary shocks versus actual data . . . . . . . . . . . . . . . . . . . . . . . . . 113 4.20 Simulation: model with sticky wages and monetary shocks versus actual data . . . . . . . . . . . . . . . . . . . . . . . . . 114 4.21 Simulation: model with sticky wages and monetary shocks versus actual data . . . . . . . . . . . . . . . . . . . . . . . . . 115 4.22 Simulation: model with monetary shocks, sticky wages till 1934 and competitive ones thereafter versus actual data . . . 118 4.23 Simulation: model with monetary shocks, sticky wages till 1934 and competitive ones thereafter versus actual data . . . 119 4.24 Simulation: model with monetary shocks, sticky wages till 1934 and competitive ones thereafter versus actual data . . . 120 4.25 Simulation: model with monetary shocks, sticky wages till 1934 and competitive ones thereafter versus actual data . . . 121 4.26 Simulation: model with sticky wages and monetary shocks, actual data and model with sticky wages and TFP shocks . . 122 4.27 Simulation: model with sticky wages and monetary shocks, actual data and model with sticky wages and TFP shocks . . 123 LIST OF FIGURES 4.28 Simulation: model with sticky wages and monetary shocks, actual data and model with sticky wages and TFP shocks . . 4.29 Simulation: model with sticky wages and monetary shocks, actual data and model with sticky wages and TFP shocks . . 4.30 Simulation: RBC open-economy and closed-economy models versus actual economy . . . . . . . . . . . . . . . . . . . . 4.31 Simulation: RBC open-economy and closed-economy models versus actual economy . . . . . . . . . . . . . . . . . . . . 4.32 Simulation: RBC open-economy and closed-economy models versus actual economy . . . . . . . . . . . . . . . . . . . . 4.33 Simulation: Comparative effects of international interest rate shocks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.34 Simulation: Comparative effects of international interest rate shocks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.35 Simulation: Comparative effects of international interest rate shocks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.36 Unemployment rate: a comparison of different estimates. Sources: u Mad, Maddison (1995); u comp, yearly geometric mean of the monthly rate in figure 4.4; u Gos, Goossens, Peeters, and Pepermans (1988) . . . . . . . . . . . . . . . . . 4.37 Capital before and after correcting for WWI. Source: my elaboration on van Meerten (2003) . . . . . . . . . . . . . . . 167 124 125 130 131 133 134 135 136 141 143 168 LIST OF FIGURES List of Tables 4.1 4.2 4.3 Parameters’ calibration . . . . . . . . . . . . . . . . . . . . . . 94 Parameters’ calibration . . . . . . . . . . . . . . . . . . . . . . 108 Parameters’ calibration . . . . . . . . . . . . . . . . . . . . . . 132