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Stock Market Development and Cross-Country Differences in Relative Prices∗ Borja Larrain† Abstract We observe a positive correlation between stock market capitalization and price levels (or wages) within the group of countries with poorly developed stock markets. Instead, we observe a negative correlation between these two variables within the group of countries with more developed stock markets. In both groups there is a positive correlation between stock market capitalization and employment in services. This paper argues that there is a causal relationship behind these correlations. Stock markets initially stimulate growth, pushing the demand for nontradables and increasing prices and wages. Stock markets also promote a shift towards more capital-intensive technologies in the tradable sector, increasing the migration of workers to services and eventually putting downward pressure on wages and prices. Keywords: Price Levels, Real Exchange Rate, Sectoral Employment, Stock Market Development, Wages. JEL: F3, G0 ∗ For comments and discussions I thank Mark Aguiar, Alan Ahearne, Miklós Koren, Felipe Varas, and seminar participants at the Boston Fed and the Federal Reserve System Meeting on International Economic Analysis in Washington. Maria Giduskova provided outstanding research assistance. Part of this paper was written while I was an economist at the Federal Reserve Bank of Boston. The views expressed in this paper are solely those of the author and do not reflect official positions of the Federal Reserve Bank of Boston or the Federal Reserve System. † Pontificia Universidad Católica de Chile, Escuela de Administración, Avenida Vicuña Mackenna 4860, Macul, Santiago, Chile. Tel: (56 2) 354-4025. E-mail: [email protected]. 1 Introduction The main stylized fact documented in this paper is that countries with highly developed stock markets (mostly Anglo-Saxon countries such as Australia, U.K., U.S., etc.) have lower price levels and lower wages than other countries with reasonably developed, although not as highly developed, stock markets. These countries also have a very high share of total employment in the services sector. These patterns are hard to explain completely with standard theories (e.g. Balassa-Samuelson). For example, it is not clear why the U.S. presents these patterns in comparison to, say, Germany which has a similar level of per capita income.1 This paper argues that there is a causal relationship going from the stock market to prices, wages and specialization.2 The analysis is not limited to well developed stock markets; in fact, interesting differences are observed among less developed markets. Among these, stock market development is positively correlated with prices and wages, and also with the share of employment in services. The Balassa-Samuelson hypothesis (1964), concerning the differential productivity of the tradable sector, is still the most widely cited theory for long-run cross-country differences in price levels (the real exchange rate). The positive correlation between income and price levels is often taken as evidence in support of this hypothesis since higher income presumably comes from higher productivity in the tradable sector. However, productivity and income leave many differences unexplained, suggesting that something else is needed to complete the picture. For example, when commenting on the behavior of the U.S. price level against other industrial economies, Obstfeld and Rogoff (1996, p. 213) conclude that productivity differentials are only part of the story: "(...)International differences in government regulations, 1 According to the Penn World Table, the average per capita income in the 1990s was $29,152 in the U.S. and $21,250 in Germany (PPP adjusted). Price levels, on the other hand, were 20% lower in the U.S. The average monthly wage in manufacturing was $2,269 in the U.S. and $2,862 in Germany (PPP adjusted). Employment in services was 73% of total employment in the U.S., while it was 60% in Germany. 2 Feldman and Xu (1999) also examine the role of financial development on price levels, but the analysis is in terms of M2/GDP instead of stock market development like in this paper. Moreover, the focus of their paper is on the time-series properties (cointegration) of financial development and price levels in a limited number of countries. 2 trade policies, and market structure also seem relevant." This paper digs deeper into that insight finding that the development of the stock market, a key feature of market structure, is a powerful predictor of price levels even after controlling for income levels, government size, trade openness and other country characteristics. We know from the previous literature that the development of the stock market affects quantities, but not that it affects prices. Stock markets foster the accumulation of capital and growth (Levine (2004)), together with the allocation of resources to particular sectors (Rajan and Zingales (1998)). We claim that the same mechanisms are behind our findings on prices; in fact, we think that prices are a natural reflection of the effects of financial development on growth and specialization in production. Our explanation is the following. On one hand, stock market development stimulates capital accumulation and growth. The increase in income drives up price levels in a way similar to Balassa-Samuelson. On the other hand, stock market development promotes a shift towards sectors that are more capital-intensive, particularly within tradables. More workers migrate to services (nontradables) as labor demand falls in tradables, which puts downward pressure on wages and prices. The domestic price level falls if specialization is stronger than growth. The results in this paper suggest that specialization dominates among highly developed stock markets, while growth dominates among the less developed. In other words, factor accumulation is strong in the initial stages of development, while reallocation dominates in later stages. As the main results in this paper are empirical, it is worth discussing the identification strategies that are used. The key obstacle is that the development of the stock market is an endogenous variable so standard OLS assumptions are violated. We approach this problem in two complementary ways. First, in cross-country regressions, the development of the stock market is instrumented using the legal origin of the country (La Porta et al. 1997, 1998), which is a common strategy in the finance and growth literature (Levine (2004)). The second identification strategy uses the time-series variation in prices and stock market 3 development together with the cross-country variation. The basic identifying assumption is that unexpected changes in price levels are not correlated with previous levels of stock market development and other controls. This allows suitable lags of the endogenous variables as instruments. The GMM estimation in this case is reviewed by Arellano and Honoré (2001), and it has been typically applied to micro-level panel data sets (see Beck, Levine, and Loayza (2000) for a macro-finance application). This second strategy also illustrates the dynamic impact of stock markets on price levels, which cannot be studied with the cross section. It complements the cross-sectional approach because it does not rely on legal origins as instruments and therefore it alleviates concerns about potential pitfalls with that set of instruments. Throughout the paper we focus on the effect of stock market development on price levels. However, the same analysis can be applied to other forms of financial development such as the banking system. In fact, the empirical results that we present still apply if we use measures of banking development instead of stock market development. We decide to focus on stock market development mostly because of our empirical strategy. Previous papers show that the connection between legal origins and financial development is particularly strong in the development of stock markets. Other financial structures are not so distinctively and uniquely influenced by the legal origin of the country (Acemoglu and Johnson (2005)). By focusing on stock markets our results can be considered to be conservative in terms of the effect of financial development on relative prices. The paper is organized as follows. Section 2 presents the evidence on the impact of stock market development on price levels using a cross-section of countries. Section 3 uses panel data techniques. Section 4 studies the allocation of employment across sectors and the impact of stock market development on wages. Section 5 provides a stylized model for interpreting the empirical results. Section 6 concludes. 4 2 Cross-Sectional Evidence on Stock Market Development and Price Levels 2.1 Data on Price Levels, Income and Stock Market Development Price levels and per capita income are taken from the Penn World Table (PWT) version 6.1, which updates the work of Summers and Heston (1991). Price levels for each country are reported relative to the corresponding price level in the United States. For this purpose, the PWT researchers keep track of the cost of similar goods across countries, adjusting for quality considerations.3 Within goods categories, the biggest variation in relative prices is in nontradables (Summers and Heston (1991), Table I). Per capita income in each country is also reported relative to the U.S. income. The intersection of the PWT and the database of Beck, Demirgüç-Kunt, and Levine (2001), which contains data on stock market capitalization over GDP, gives a sample of 90 countries in the period 1976 to 2000.4 Not all countries have data for the entire sample period, and the coverage is particularly sparse in the early years. A detailed report of country and period coverage of the different data sets employed in this paper is included in the web appendix. 2.2 Legal Origins as Instruments for Stock Market Development The development of the stock market is treated as an endogenous variable, and it is instrumented by the origin of the country’s legal system. The five legal families considered are: English, French, German, Scandinavian, and Socialist.5 More precisely, the set of instru3 Although surveyed goods are similar, there is variation in the expenditure weights used for the price level in each country. I thank the referee for pointing this out. See also Bergstrand (1991) on non-homothetic preferences and their impact on cross-country differences in prices. 4 We drop 6 countries with only one year of data after matching the PWT and the stock market database. These countries are: Honduras, Kuwait, Kyrgyzstan, Mongolia, Oman, and Saudi Arabia. The results are very similar if we include them. The rest of the countries have at least 3 years of data. 5 The most comprehensive list of countries with their legal origin can be found in Djankov, McLiesh, and Shleifer (2006). The list of countries for this paper can be found in the web appendix. 5 ments is formed by four dummy variables, each dummy taking a value of one for countries in a given family and zero for countries outside that family. The fifth family is absorbed by the constant in the regressions. Previous research shows that countries of the English legal origin have particularly welldeveloped stock markets, at least in the sample period that we cover (La Porta et al. (1997, 1998)).6 In econometric terms, we can be confident that legal origins are not weak instruments in this application, which is corroborated by the first-stage F -statistics reported throughout the paper. Legal families are largely determined by colonial history, so reverse causality is not likely to be a problem either (i.e., countries with certain price levels choosing one set of legal rules). There can be a primitive driving force that determines prices and legal origins simultaneously (e.g., cultural background). The existence of such a variable would probably indicate that legal origins are endogenous, or correlated with the error term in the price level regression. However, it is hard to pin down such primitive influence, and probably even harder to spell out a mechanism through which it affects prices, wages and employment in the ways described in this paper. Perhaps a more serious threat, because it can never be completely ruled out, is the exclusion restriction. The exclusion restriction requires that the effects of legal origins on prices come only through the stock market, and not directly or through other variables. One prominent possibility is that legal origins affect prices by influencing product market regulation and labor regulation (Botero et al. (2004), Djankov et al. (2002), Pagano and Volpin (2005)). We explore this issue later on and we conclude, at least preliminarily, that the effect of legal origins seen through the stock market is separate from that of regulation. Legal origins also affect other forms of financial development such as banking. However, Acemoglu and Johnson (2005) argue that the clearest and strongest influence of legal origins is seen on stock markets, and not in other financial institutions. The legal origin is meant to capture the exogenous component of stock market develop6 Rajan and Zingales (2003) show that legal origins are not such good predictors of stock market development in the early 20th century. 6 ment, but by no means it is assumed to be its only determinant. For instance, income is positively correlated with the development of stock markets. As Rajan and Zingales (2003) point out, political economy considerations can also be important in explaining financial development (see also Pagano and Volpin (2005), Perotti and von Thadden (2006)). However, the purpose of this paper is not to explain stock market development itself, but to study the effect of its exogenous component on relative prices. For example, it is perfectly possible that politicians influence the development of the stock market and through it price levels, but it is hard to obtain a consistent measure of pro-market political forces for a wide cross-section of countries that is, at the same time, clearly exogenous (i.e., a measure that can be used as instrument). The real danger for our identification strategy is not that political forces affect prices through the stock market, but rather through other channels, such as regulation, as already mentioned. 2.3 Evidence within Groups of Stock Market Development The basic regression for price levels is log µ pj pu.s. ¶ = α0 + α1 µ Stock Marketj GDPj ¶ + α2 log µ yj yu.s. ¶ + j. (1) The dependent variable is the price level in country j relative to the price level in the U. S. The stock market capitalization is measured as fraction of GDP. Per capita income (y) in country j is also measured relative to the U.S. and is treated as an exogenous variable in this section. The log specification for prices and income insures comparability with previous literature, although the results are also strong with a linear specification (results not shown). We run the regression with country-level averages for three time periods: 1976-1980, 19811990, and 1991-2000.7 Income serves as a catch-all proxy for several effects discussed in the previous literature, such as differences in productivity (Balassa (1964) and Samuelson (1964)), differences in 7 We take averages first and then logs. 7 factor endowments (Bhagwati (1984)), and non-homothetic preferences (Bergstrand (1991)). Froot and Rogoff (1995) and Rogoff (1996) provide surveys of these theories. Income can also capture some of the growth effect of stock market development, so it is a strong control variable, perhaps too strong. As long as income is not a perfect proxy for that effect, both income and the stock market can enter regression (1) with a positive sign. In this section we split the sample in two groups according to stock market development in the 1990s, and we run regression (1) in each group separately. The purpose of this exercise is to show the different impact of stock markets according to their stage of development, and indirectly to showcase the differences in sample composition across time. The top panel of Table 1 shows results for the more developed stock markets. In the three time periods the coefficients on the stock market and income are statistically significant at least at the 10% level (IV regressions). More interestingly, they have opposite signs. While income has a positive sign as predicted by Balassa-Samuelson, the stock market has a negative sign. In the last column we show the OLS regression which indicates that coefficients become larger when applying instrumental variables. Using the IV coefficients in the 1990s as a reference, an increase of 1 percentage point in stock market capitalization over GDP lowers prices by about 0.4 percent (equivalently, a long-run depreciation of the real exchange rate of 0.4 percent). An increase of 1 percent in income increases prices by 0.75 percent. The sign of the coefficients is stable across time periods, which implies that the relationship uncovered is not just a passing phenomenon. Table 2 presents the stylized fact behind this regression. It shows data on prices, income and stock market capitalization for high-income countries in 1991-2000. (Data for other decades are very similar.) Countries are split in 4 groups according to their legal origin. Focusing on group averages, we see that price levels increase as we move from top to bottom while there is no clear pattern in income levels. At the same time, stock market capitalization decreases as we move from top to bottom. Countries of the English legal origin have on average the highest capitalization and the lowest price levels. The French, Scandinavian and 8 German countries have lower capitalization and higher prices than the English countries. At a minimum, this table shows that there is variation in price levels that income fails to capture, and that it can be potentially explained by stock market development. The effect of stock market development is not the same across the two groups in Table 1. Among the less developed markets, a relative increase in stock market capitalization increases prices. The effect is significant at the 1% level in 1991-2000. The coefficient in the last decade implies that an increase of 1 percentage point in stock market capitalization over GDP increases price levels by 14%. Since these are underdeveloped stock markets, a 1 percentage point increase in capitalization is a major change and therefore it has a big impact on price levels. The results in the earlier sub-samples are not robust in part because of sample attrition. We observe 15 less-developed stock markets in the 1980s, and only 6 in 1976-1980. The coefficient on income is never significant among these markets in the IV regressions. 2.4 Non-monotonic Effect of Stock Market Development on Price Levels The evidence from different groups suggests that the stock market has a non-monotonic effect on price levels. In this section we capture the non-monotonicity by adding the square of stock market development to the basic regression in (1). We now use all countries in the regression. We report results only with the 1991-2000 sample because it is the period with more countries and with a balanced representation of different groups of stock market development. This heterogeneity is key for identifying the non-monotonic effect of stock markets as shown by Table 1. We come back to the time series of price levels and stock market development in Section 3. Table 3 shows the basic result for the regression with the quadratic term. We find a positive coefficient on the level of stock market capitalization and a negative coefficient on the quadratic term. Both coefficients are significant at the 1% level and are larger in 9 the IV regression. The relative magnitudes of these coefficients imply that stock market development reduces prices only after it surpasses high levels of capitalization (1.8 times GDP following the IV regression). The IV regression in the first column of Table 3 implies that an increase of 1 percentage point in stock market capitalization over GDP from the sample median–20 percent of GDP–, increases prices by 3.9 percent (an appreciation of the real exchange rate of 3.9 percent). An increase of 1 percent in income increases prices by 0.18 percent. The effect of income in the IV regression is smaller than the standard in the literature, although the OLS coefficient is in line with previous papers. The first-stage F -statistic shows that legal origins are important explanatory variables for the development of the stock market on top of per capita income. The test of joint insignificance of the instruments is rejected at the 5% level (Table 3, first column). The J-test with a p-value of 20% implies that we cannot reject the validity of legal origins as instruments at conventional levels of significance. Table 3 also reports regressions where we add trade openness (from the PWT) and the interaction of openness and income.8 These terms capture an alternative non-monotonic channel related to trade. We expect a positive coefficient on openness since trade promotes growth (Frankel and Romer (1999)), and a negative coefficient on the interaction term since the trade specialization of rich countries in more capital-intensive sectors can put downward pressure on prices. Table 3 shows that we obtain the opposite signs as predicted by this hypothesis (Broda (2006) reports the same signs that we find). Signs change depending on whether the interaction is included or not, and also in the IV regressions where these coefficients are not significant. The stock market coefficients are still significant. Since we find little support for the openness channel, and since it does not affect the stock market variables, we exclude openness in much of the analysis that follows. This does not affect the results that are reported. 8 Regressions with openness squared instead of the interaction term with income give very similar results and do not affect the stock market variables. 10 Figure 1 illustrates the non-linear relationship between prices and the stock market in the raw data (not controlling for income). The quadratic pattern can be seen in the three time periods. In the 1990s, only 8% of the sample is past the inflection point in the figure (1.2 times GDP). This shows that only countries with very deep stock markets, mostly rich Anglo-Saxon countries, experience a drop in price levels after a sustained increase throughout most of the development path. This is not at odds with Table 1, which does not necessarily imply that all developed stock markets have price levels below those of the less developed markets. 2.5 Additional Determinants of Price Levels Table 4 adds to the basic specification some variables that are frequently considered to be determinants of price levels. For instance, higher government consumption as a fraction of GDP can increase prices if it is tilted towards nontradable goods (De Gregorio, Giovannini, and Wolf (1994)). We get instead a negative coefficient on government consumption, although not significant.9 A similar argument applies to the net foreign asset position of the country if domestic and foreign preferences are different. This is related to what Keynes called the transfer problem (Lane and Milesi-Ferretti (2004)). We find a positive sign on this variable as most previous studies, but not enough statistical significance.10 De Gregorio and Wolf (1994) argue that terms of trade shocks can have an effect similar to that of income, increasing the prices of nontradables and price levels. We find instead a negative coefficient on the terms of trade growth, but only significant at the 10% level. Lane and Milesi-Ferretti (2004) report positive and negative coefficients on terms of trade shocks depending on the sample.11 9 General government final consumption expenditure as percentage of GDP is obtained from the World Development Indicators. 10 The net foreign asset position as a fraction of GDP is taken from Lane and Milesi-Ferretti (2001, 2007). The measure in Kraay et al. (2000) gives similar results (not reported). 11 Terms of trade come from the Global Development Network Growth Database available at the World 11 Finally, Broda (2006) shows that countries with flexible exchange rates tend to have lower price levels, particularly among developing economies. We find the same dampening effect on prices in the whole sample when using Reinhart and Rogoff (2004)’s index of exchange rate flexibility, although the effect is not statistically significant. Overall, adding these controls does not reduce the significance of the stock market variables. The magnitude of the coefficients is somewhat affected only when all controls are included. It is important to keep in mind that these controls are potentially endogenous and can introduce several biases to the regression. In order to preserve the maximum number of countries in the sample we keep only income and the stock market variables in the regressions that follow. 2.6 Are Legal Origins Working Through the Stock Market? The IV regression assumes that legal origins have no effect on price levels except through the stock market. However, recent studies show that legal origins are correlated with laws beyond those affecting the development of the stock market–in particular, the laws regulating product market competition (Djankov et al. (2002)) and the labor market (Botero et al. (2004), Pagano and Volpin (2005)). Countries with an English legal origin have less restrictive labor regulation, and it is possible that this affects prices, although the direction of the effect is unclear. For instance, tighter labor regulation can increase wages and prices in the short run, but reduce them in the long run (Blanchard and Giavazzi (2003)). The relevance of regulation is tested using the number of procedures required to start a business (a measure of the regulation of entry) and an index of labor law.12 We do not have a time-series for these measures of regulation, but only one observation per country. Regulation is also treated as an endogenous variable and it is instrumented using the set Bank’s website and originally compiled by William Easterly. It is necessary to use growth rates because the terms of trade are presented in the form of country indexes, which cannot be compared across countries. 12 The number of procedures is taken from Djankov et al. (2002). The labor law index is the country average of the employment laws index, the collective relations laws index, and the social security laws index from Botero et al. (2004). 12 of dummies that represent legal origins. It is important to emphasize that we have four dummies in the set of instruments and not just one categorical variable (e.g., a variable that takes a value of 1 if the country is of the English legal origin, 2 if the country is of the French origin, 3 if German and so on). This is relevant because the legal families do not have the same ranking across all dimensions. For example, while the English countries have the most developed stock markets, they have a tougher regulation of entry than the Scandinavian countries. At the same time, the Scandinavian countries have highly regulated labor markets, almost as regulated as Socialist countries, which have the less developed stock markets. French countries have less regulated labor markets than Scandinavian countries, but more regulated entry, and so on. Only the labor law index comes in significantly and with a negative sign in Table 5. The stock market variables are still significant and of comparable magnitude to previous tables. This evidence supports the idea that the effect of legal origins that comes through the stock market is an independent channel and not simply a proxy for regulation. Admittedly, these regressions do not exhaust all possibilities. Regulation, for example, can act in more subtle ways that the proxies we use here. However, the regressions in Table 5 show some encouraging results in the sense that our identifying assumption is not patently violated. 3 Panel Data Evidence on Stock Market Development and Price Levels 3.1 Identifying Assumptions In this section, we present a time-series analysis which strengthens our results in several respects. First, with the time-series we can assess the dynamic effect of stock market development on price levels, unlike the case of the pure cross-sectional analysis. Second, using panel data helps us to control for country unobservables, in particular for those unobserv- 13 ables that potentially invalidate legal origins as instruments. A third advantage is that we can control for the endogeneity of income and not only for the endogeneity of stock market development. Consider the following version of regression (1) that accounts for the time dimension and unobserved country-specific effects (μj ): log µ pj,t pu.s.,t ¶ = α1 µ Stock Marketj,t GDPj,t ¶ + α2 log µ yj,t yu.s.,t ¶ + μj + j,t . (2) First differencing equation (2) eliminates the country-specific effect, ∆ log µ pj,t pu.s.,t ¶ µ Stock Marketj,t = α1 ∆ GDPj,t ¶ + α2 ∆ log µ yj,t yu.s.,t ¶ +∆ j,t . (3) We assume that the variables are weakly exogenous, that is, they may be correlated with past and current shocks, but not with future shocks. In particular, the levels of income and stock market development are assumed to be uncorrelated with future unanticipated shocks to price levels (future j, i.e., unanticipated shocks from the point of view of the econometrician). With forward looking agents, it is reasonable to assume that stock markets can respond to anticipated shocks to prices, but not to unanticipated shocks. Under the assumption that the errors j,t are serially uncorrelated, we can use the following moment conditions to identify the coefficients in the last regression, 0 ∆ E[Xj,t−s j,t ] = 0 for s > 2; t = 3, .., T (4) The expectation is taken across countries. The matrix Xj,t−s contains lagged levels of stock market capitalization and income as columns. This matrix can also contain current levels of strictly exogenous variables included in the regression, which serve as instruments for themselves (e.g., time dummies). Arellano and Bond (1991) develop a GMM estimator based on these moment conditions. In subsequent work, Arellano and Bover (1995) and Blundell and Bond (1998), show that we can improve the estimation by considering additional moment 14 conditions that deal with errors in levels and not only in differences. The main reason for the poor performance of the estimation based solely on (4) is that past levels can be weak instruments for current differences if the time series are close to unit roots. Intuitively speaking, first differences are pure innovations if a time series is a random walk, and therefore past levels contain no valuable information about current changes. Under the further assumption that the first differences ∆Xj,t−s are uncorrelated with the country-specific effects μj , we can add the following moment conditions,13 0 E[∆Xj,t−s j,t ] = 0 for s > 1; t = 3, .., T (5) The usefulness of moment conditions in (5) can be understood intuitively as the reverse of the problem of past levels as weak instruments. First differences are permanent shocks if a time series is a random walk, and therefore, past changes contain important information for future levels (i.e., they are strong instruments.) At least in our application, stock market development is growing steadily over time so we suspect that adding this second set of moments conditions can improve the identification substantially.14 It is important to note that some of the moment conditions in equation (5) can be redundant depending on the number of lags considered in equation (4) (Arellano and Bover (1995)). Following the literature we refer to the estimator derived from moments conditions (4) and (5) as system GMM.15 The econometric techniques described here are appropriate for panels with a large number of individuals and a short time dimension. Therefore, for each country we average the data over non-overlapping 5-year periods starting with 1976-1980, which follows the strategy of Beck, Levine, and Loayza (2000).16 This also serves to smooth business-cycle fluctuations since our focus is the long-run behavior of price levels. 13 This assumption does not imply that the levels of stock market development are uncorrelated with the country-specific effects, but that this correlation does not change over time. 14 In contrast, price levels and income look stationary. The reason for this is that they are measured relative to a reference country (the U.S.). 15 System GMM is estimated using the Stata command xtabond2 developed by Roodman (2005). 16 This implies that T = 5 in this application. 15 We present two identification tests. The first test about the validity of the instruments is the standard test of overidentifying restrictions or J -test. A second test proposed by Arellano and Bond (1991) checks for second-order autocorrelation in ∆ j,t which deals with the assumption of no serial correlation in the error term. Failure to reject the null hypothesis in both cases provides support for the empirical model. 3.2 Results with Panel Data Table 6 presents the results for the panel regression in (2) including the quadratic term of stock market capitalization. All regressions include time dummies (not reported in the tables). We start by considering income as weakly exogenous as the other variables. The first column in Table 6 shows the results when all available lags are used in moment condition (4). In this case only the first lag is relevant in equation (5) since the other moment conditions are implied by (4). Coefficients on the stock market terms are smaller than the previous cross-sectional estimates, but they are still sizeable. From the sample median, an increase of 1 percentage point in stock market capitalization over GDP increases prices by 0.8 percent. The relative magnitude of the linear and quadratic terms still implies that the inflection point in the relationship between prices and the stock market is observed at high levels of capitalization. The J -test provides support for the model, but the AR(2) test rejects the null at the 4% level, which is an indication of poor instruments. Bond (2002) notes that estimates based on a smaller set of instruments can solve biases that arise from having too many moment conditions (an overfitting problem; see also Roodman (2006)).17 The second column in Table 6 reduces the number of instruments by ignoring very long lags. The results become stronger in terms of magnitude and statistical significance. The identification tests lend support for this smaller set of instruments since now both tests are easily passed.18 One justification for the improvement in this second model is that 17 This is also the reason for using the collapse option in xtabond2 as we do for the regressions in Table 18 Other variations in the instrument set give similar results. The key difference with respect to the first 6. 16 long lags of levels are weak instruments for current differences. Excluding longer lags from the moment conditions in (4) implies that some moment conditions in (5) are not redundant now, and adding these moment conditions in levels improves the estimation substantially. A perhaps more intuitive reason for why this second model works better has to do with the changing characteristics of the sample at different horizons. Moment conditions that use long lags are tilted towards well developed markets because they have longer time series. As we saw in the cross-section, the identification of the stock market coefficients depends upon observing countries within a wide range of stock market development. Therefore, the moment conditions with long lags contain potentially less useful information because they are characterized by less heterogeneity. The third column in Table 6 shows the results with two-step GMM, including the finite sample correction suggested by Windmeijer (2005). Results are very similar to the case of one-step GMM. The coefficient on income is not statistically significant in the first three columns of Table 6 when income is assumed to be weakly exogenous. The fourth column treats income as strictly exogenous as in the cross-sectional regressions. Now income has a positive and significant coefficient as before. The stock market terms are still significant and within one standard deviation of the baseline GMM estimates. The last two columns in Table 6 show results of the OLS and the country-fixed effect regressions for comparison with the GMM estimation. The coefficients in the OLS regression have the same signs as before, and they are statistically significant, but magnitudes are smaller. The OLS and fixed effect estimations have several biases in comparison with system GMM (Arellano and Honoré (2001)).19 model is to include more moment conditions with errors in levels. 19 The web appendix shows results for the GMM estimation when the other determinants of price levels presented in table 4 are included. 17 4 Evidence on Employment Shares and Wages 4.1 Employment Shares and Stock Market Development The mechanism behind the change in relative prices entails a reallocation of labor across sectors and changes in wages. In this section we explore these implications directly. We first focus on the relation between stock market development and employment in different sectors. We follow the literature by considering services as mostly nontradable, and industry (manufacturing and others) as relatively more tradable. Table 7 presents regressions where the dependent variable is the average share of total labor in a country that is employed in services and industry in the 1990s (The omitted sector is agriculture.)20 Regressions with data from previous decades cover approximately half the countries of the 1990s, and we do not present them. The explanatory variables are the stock market capitalization and its quadratic term, plus per capita income and its quadratic term. These last two terms are motivated by the non-linear effect of income on specialization as documented by Imbs and Wacziarg (2003).21 The regressions with industry employment show a clear negative effect of stock market development. The quadratic term is positive and significant, but very small. For instance, only one country in our sample is past the inflection point in the quadratic relationship implied by these coefficients, so we can conclude that the effect is mostly negative. The marginal effect of income is positive, contrary to the effect of the stock market, meaning that an increase in per capita income increases employment in industry. The quadratic term of income is economically insignificant (i.e., no country in the sample is past the inflection point in this case.) Stock market development induces a higher share of employment in services. Since income 20 The employment shares are taken from the World Development Indicators. Employment is reported for 3 sectors: agriculture, industry, and services. Industry corresponds to sectors 2-5 (construction, manufacturing, mining, and utilities) and services correspond to sectors 6-9 of the ISIC-Rev.2 codes used by the International Labor Organization. 21 The regressions using log-employment shares and log-income, together with the stock market variables, give very similar results. 18 and the stock market have effects in the same direction it is harder to identify the coefficients precisely. Nevertheless, the last IV regression indicates a strong effect of the stock market and not of income. In terms of magnitude, an increase of 1 percentage point in stock market capitalization from the sample median increases the share of employment in services by 0.8 percentage points (the average share of employment in services is 55 percent.) Overall, this evidence suggests that higher income shifts employment away from agriculture and towards industry and services, while stock market development induces a further migration of labor into services. 4.2 Wages and Stock Market Development We put together a cross-section of wages by countries and sectors using data from the ILO in the 1990s (because data in previous decades are very limited.)22 The advantage of these data is the wide sectoral coverage. Disadvantages are the differences in the methodology for data collection, which potentially reduce the comparability of the series across countries.23 In our analysis we compare wages across countries, but within sectors. For example, we compute wage differentials between the U.S. and Germany only for workers in construction. Even though frictionless models speak of one national wage, we do not attempt to aggregate wages across sectors for a particular country. Our results confirm that even if perfect wage equalization within a country fails, we can still observe cross-country wage differentials that mimic the price differentials already documented. We adjust wages to take into account purchasing power differences across countries. The idea is to obtain the relative cost of labor expressed in terms of a comparable bundle of goods. The cross-country dispersion in wages is even greater if we do not adjust for purchasing power. First we express wages in U.S. dollars of the year 2000 using the nominal exchange rate and the U.S. CPI as deflator. Then we multiply wages by a purchasing power parity 22 We restrict the sample to sectors with at least 3 years of data. Results do not hinge on this restriction. See Freeman and Oostendrop (2000) for related criticism, although with respect to the ILO October Inquiry data that intends a much more detailed coverage by occupations. 23 19 factor.24 This factor is the ratio of GDP in 2000 "international dollars" to GDP in 2000 U.S. dollars for a given country in a year as reported in the World Development Indicators. An international dollar has the same purchasing power over GDP as one U.S. dollar in the United States.25 Similar patterns as with price levels can be seen in wages. Within the group of welldeveloped stock markets, those countries with higher stock market capitalization tend to have lower wages. For instance, wages in manufacturing are lower in Anglo-Saxon countries such as the U.S. ($2,269) or Ireland ($2,081) than in countries such as France ($2,310), Germany ($2,862), or Sweden ($2,499). In Table 8 we show the results of our basic regression using ILO wages as the dependent variable. First we run regressions by sector so each data point represents a country, similarly to our regressions for price levels. The coefficient on income is positive and significant in all regressions. The linear term of stock market development has a positive sign and the quadratic term has a negative sign in all regressions. The linear term is significant in 8 of the 9 sectors, and the quadratic term is significant in 4 of the 9 sectors (manufacturing, construction, retail, and transport). Manufacturing is the sector with the widest coverage across countries so it is reassuring that all coefficients are significant and with the expected sign in this regression. The magnitudes are also comparable to those in the price level regressions. Taking the regression in manufacturing as reference, an increase of 1 percentage point in stock market development increases wages by 2.7 percent. This represents an increase of $38 from an average monthly wage in manufacturing of $1,389. Labor law is an important determinant of wages across countries (Freeman and Oostendrop (2000)). Table 5 already showed that tighter labor regulation has a downward effect on price levels. Consistent with that effect, labor regulation has a negative impact on wages as 24 The nominal exchange rate is taken from the IFS, except for Romania and Turkey for which we use the ratio of GDP in local currency units to GDP in U.S. dollars as reported in the World Development Indicators. 25 This conversion factor is conceptually equivalent to deflating wages by the price levels reported in the PWT. The correlation between the two deflators in our sample is 0.82. Using the PPP factor from the WDI allows us to present new data and examine the robustness of the results shown with PWT price levels in tables 1-7. 20 seen on the right-hand-side panel of Table 8. Countries with heavily regulated labor markets include rich countries such as Scandinavian countries, but also former communist countries and other less developed countries such as Panama or Venezuela. Once the effect of income is taken out, tighter labor regulation clearly decreases wages in IV and OLS regressions, including or not the development of the stock market. Including the labor law index reduces the number of observations by approximately 15% to 20%. Standard errors are consequently larger and we lose more than half of the significant coefficients on the linear term of stock market development. The quadratic term is robust to the inclusion of labor law, and its magnitude tends to increase. This is probably due to an increasing importance of more developed markets in the sample. In any case, the basic message is still present. Labor law seems to be an important channel that affects wages, but by no means it replaces the effect of stock markets. The last row in Table 8 shows regressions that pool all the sectors together. These regressions include sector fixed effects. The standard errors are clustered by country to account for within-country correlation across sectors. Clustering is essential since the explanatory variables are country-level measures. The coefficients on the linear and quadratic terms of stock market development are statistically significant at the 5% level. Significance is reduced when the labor law index is included, but coefficients are still of similar magnitude. 5 Growth, Specialization, and Relative Prices The theory we present here serves as possible justification for the empirical results just documented. First, it motivates the main channels of influence of stock market development with results from previous literature. Then it provides a simple model to illustrate the connection between these channels and price levels. 21 5.1 Motivation There is a large literature that studies the impact of stock market development on growth and specialization. In a recent survey, Levine (2004) concludes that the evidence strongly suggests a positive influence of stock markets on growth. Importantly, reverse causality does not seem to drive the relationship. The literature also shows that the development of the financial system is a source of comparative advantage and therefore that it leads to specialization. Sectors that are heavy users of financial markets benefit from financial development in an analogous way as sectors that are heavy users of a factor benefit from the abundance of that factor. Rajan and Zingales (1998) develop a measure of the financial dependence of different industries and they show that financial development disproportionately affects the growth rates of those industries with a higher financial intensity. Beck (2003) and Svaleryd and Vlachos (2005) confirm the idea of the comparative advantage by showing that countries with better financial systems specialize their exports and production in the financially dependent sectors identified by Rajan and Zingales.26 The evidence indicates that industries with high financial intensity have higher capital intensity. For example, Rajan and Zingales report a correlation of 0.81 between financial dependence and investment intensity, which they define as the ratio of capital expenditures over property, plant and equipment (see also Carlin and Mayer (2003) and Svaleryd and Vlachos (2005)). Therefore, the specialization induced by financial development is tilted towards capital-intensive technologies. Motivated by these previous findings, we view stock market development as a twodimensional process. On one hand, stock markets lead to higher capital accumulation and higher growth. This growth channel can be understood as the result of relaxing financing constraints and undertaking more projects. Simultaneously, stock markets promote a shift towards technologies that are more capital-intensive. This specialization channel implies a 26 Beck (2002) shows that financial development constitutes a comparative advantage for manufacturing as a whole when compared to other sectors. 22 change in the composition of the projects that are financed. In the model, we view this channel as a shift in the underlying production function towards higher capital intensity. Our stylized model illustrates how these two channels can affect price levels and employment shares. 5.2 Model The model follows the analysis of long-run price levels developed in Obstfeld and Rogoff (1996, ch. 4). Imagine a small open economy in a world with two goods, one tradable and one nontradable. The law of one price holds for the tradable good and therefore any difference in national price levels is explained by the price of the nontradable good, p. The tradable good has a fixed price of one and is the numeraire. Consumers have homothetic preferences over the consumption of tradables and nontradables, U(CN , CT ) = CNθ CT1−θ . The parameter θ is the fraction of income that consumers spend in nontradables (0 < θ < 1). Consumers are endowed with a fixed amount of labor, L, and capital, K. Tradables and nontradables are produced domestically. Nontradables are produced using only labor, YN = LN . This production function implies that the price of nontradables is equal to the domestic wage. The production function for the tradable good is YT = AKTα L1−α T , where A is total factor productivity and α is the capital intensity of tradables (0 < α < 1). Alternatively, capital can be converted into tradables at no cost, which implies that the world interest rate r has to be positive (a no-arbitrage condition). We also assume that the world interest rate is not "too low" in the sense that r > αA.27 Labor is mobile across sectors in the economy, but not internationally, which implies that LN + LT = L. Capital is mobile across and within countries, except for one restriction. The tradable sector faces a capital constraint of KT < K̄. This constraint can be the result of an (unmodeled) agency problem or asymmetric information. We assume initially that this 27 Intuitively, this condition says that the world interest rate is higher than the share of total factor productivity that can be attributed to capital. This condition is necessary for some the comparative statics that follow in propositions 1 and 2. 23 constraint is binding (KT = K̄) in the sense that the marginal product of capital evaluated at K̄ is higher than the world interest rate. Consumers can lend or borrow the difference K − K̄ at the world interest rate, therefore K − K̄ is the long-run foreign asset position of the country. Total income in this economy is YT + pYN + r(K − K̄), with a fraction θ spent in nontradables and 1 − θ spent in tradables. The market clearing conditions are CN = YN for nontradables and CT = YT + r(K − K̄) for tradables. In terms of this model we view stock market development as affecting two key parameters. First, stock market development implies a relaxation of the capital constraint, i.e., an increase in K̄. We view this constraint as representing domestic financial development and not only as a restriction on foreign borrowing. For example, in this model it is possible to see a country with a productive sector that is capital constrained, and at the same time to see a positive net foreign asset position. This happens when K > K̄. In this case, an increase in K̄ allows more domestic capital to flow to the tradables sector instead of going overseas. Only when K < K̄ the capital constraint affects foreign borrowing. Second, the specialization induced by stock markets is captured by an increase in the capital intensity of the tradable sector, i.e., an increase in α. The following propositions summarize the comparative statics concerning these two key parameters. A detailed analysis of these propositions and the rest of the model is provided in the web appendix. Proposition 1: When the capital constraint on the tradable sector is binding and the foreign asset position of the country is not extreme: 1.1 (Growth) The price level increases as the constraint is relaxed, in employment in the tradable sector, ∂ log LT ∂ log K̄ ∂ log p ∂ log K̄ > 0. The change , inherits the sign of the foreign asset position. 1.2 (Specialization) Increasing capital intensity leads to lower price levels, lower employment in the tradable sector, ∂ log LT ∂α ∂ log p ∂α < 0, and < 0. The intuition for the growth channel is simple. The higher availability of capital increases the marginal product of labor in the tradable sector, which leads to higher wages, and 24 consequently higher price levels. This effect induces labor to move to the tradable sector. At the same time, higher income increases the demand for nontradables, which induces labor to move to the nontradable sector. In the case of K = K̄, i.e., when the foreign asset position is zero, these two effects cancel out so that no labor needs to move across sectors to reach a new equilibrium price. More generally, labor moves across sectors as the capital constraint is relaxed. Specialization reduces the amount of labor needed in the tradable sector and pushes labor towards the nontradable sector. The resulting increase in the supply of nontradables puts downward pressure on prices and wages. The sign of the comparative statics in the case of specialization can be determined analytically when the foreign asset position is zero. However, they apply more generally within reasonable bounds of the foreign asset position as we show with numerical examples in the web appendix. In the model we artificially separate growth and specialization in order to stress their different implications for price levels. Most probably, both channels are at work simultaneously in the data. However, we can suspect that the growth channel stops being relevant as stock markets reach a certain level of development. Simply put, at some point the capital constraint has to stop being binding. If we think in terms of world equilibrium, it seems implausible that the world interest rate is below the marginal product of capital everywhere. When the capital constraint is not binding, stock markets can continue to affect price levels and employment through specialization. This is summarized in our second proposition. Proposition 2 (Specialization without a binding capital constraint): When the capital constraint on the tradable sector is not binding, specialization leads to lower price levels, ∂ log p ∂α < 0, and lower employment in the tradable sector, ∂ log LT ∂α < 0. These effects do not depend on the foreign asset position of the country, which is defined as K − KT in this case. This last proposition can help us to interpret the observed negative relationship between stock markets and price levels among countries that have already achieved a certain level 25 of market development. The model suggests that in those countries capital constraints are not binding anymore. Among countries with poorly developed stock markets, where the capital constraint is still binding, we can expect a positive relationship if the growth channel is strong. In other words, our interpretation of the empirical findings among less developed markets is that initially stock markets relax capital constraints more than induce specialization. 6 Conclusions This paper documents a new fact: stock market development has a non-monotonic effect on price levels and wages. The causality runs, as far as we can tell, from the stock market to price levels as shown by two different identification strategies. The first strategy relies on legal origins as instruments and the second strategy uses panel data techniques. The explanation for this relationship is based on the growth and specialization patterns induced by the development of stock markets. There is ample evidence in the literature for these two channels, although the implications for price levels have not been studied before. We also document a negative influence of stock market development on the employment share in industry (and positive in services). From the standpoint of political economy, it is important that stock market development does not have a monotonic effect on wages. Our results show that the development of the stock market increases wages during early stages. This can be viewed as a "win-win situation," where capitalists and workers benefit. 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Heston (1991), The Penn World Table (Mark 5): An Expanded Set of International Comparisons, 1950-1988, Quarterly Journal of Economics 106, 327-368. [45] Svaleryd, H., and J. Vlachos (2005), Financial Markets, Industrial Specialization and Comparative Advantage, European Economic Review 49, 113-144. [46] Windmeijer, F. (2005), A Finite Sample Correction for the Variance of Linear Efficient Two-step GMM Estimator, Journal of Econometrics 126, 25-51. 31 Table 1 The Effect of Stock Market Development on Price Levels by Groups The dependent variable is the log price level relative to the U.S. taken from the Penn World Table 6.1. The independent variables are: (1) Stock market capitalization over GDP from Beck et al. (2001), and (2) Log of per capita income relative to the U.S. from the Penn World Table 6.1. All variables are averages for each country in the sample period indicated in the heading of the column. In the IV regressions the instruments for the stock market capitalization are dummies reflecting the legal origin of the country (English, French, German, Scandinavian or Socialist). Countries are divided into highly and poorly developed according to their average stock market development in 1991-2000. The constant in the regression is not reported. Robust standard errors are reported below the coefficients. Significance: * 10%, ** 5%, *** 1%. 1976-1980 IV Highly Developed Stock Markets Stock Market Cap. -0.63 1981-1990 IV ** (0.32) Log Income No. Countries Poorly Developed Stock Markets Stock Market Cap. Log Income No. Countries 0.47 -0.39 ** (0.16) *** 0.60 *** IV 1991-2000 OLS -0.38 * -0.05 (0.21) (0.07) 0.75 *** 0.68 (0.05) (0.06) (0.08) (0.05) 30 40 45 45 -15.11 13.95 14.03 ** 2.06 (17.93) (22.36) (7.13) (0.92) 0.20 0.24 0.21 0.30 (0.26) (0.16) (0.16) (0.10) 6 15 45 45 *** ** *** Table 2 Price Levels, Income, and Stock Market Development in High-Income Countries All variables are country averages in the period 1991-2000. Prices and income are shown relative to U.S. levels. Both are taken from the Penn World Table 6.1. Stock market capitalization over GDP is taken from Beck et al. (2001). The table shows the 30 countries with highest income in the period 1991-2000 according to income levels in the Penn World Table. Country English Legal Origin Australia Barbados Canada Cyprus Hong Kong Ireland Israel New Zealand United Kingdom United States Singapore Average French Legal Origin Belgium France Italy Luxembourg Netherlands Portugal Spain Average German Legal Origin Austria Germany Japan Korea, Republic of Slovenia Switzerland Taiwan Average Scandinavian Legal Origin Denmark Finland Iceland Sweden Norway Average Pi/Pusa 1991-2000 Yi/Yusa Stk Mkt Cap 0.90 0.53 0.90 0.75 0.88 1.04 0.96 0.86 1.03 1.00 0.90 0.89 0.77 0.50 0.80 0.53 0.86 0.68 0.55 0.59 0.69 1.00 0.79 0.70 0.69 0.42 0.72 0.20 2.34 0.56 0.41 0.51 1.32 1.05 1.50 0.88 1.13 1.16 0.99 1.13 1.12 0.73 0.93 1.03 0.73 0.71 0.70 1.22 0.74 0.48 0.54 0.73 0.50 0.49 0.28 1.52 0.96 0.31 0.42 0.64 1.20 1.23 1.50 0.68 0.66 1.51 0.83 1.09 0.74 0.73 0.81 0.45 0.46 0.86 0.51 0.65 0.14 0.34 0.72 0.37 0.07 1.62 0.80 0.58 1.31 1.19 1.21 1.30 1.34 1.27 0.82 0.67 0.75 0.72 0.83 0.76 0.41 0.76 0.30 0.81 0.29 0.51 Table 3 The Effect of Stock Market Development on Price Levels: Whole Sample The dependent variable is the log price level relative to the U.S. taken from the Penn World Table 6.1. The independent variables are: (1) Stock market capitalization over GDP and its quadratic term from Beck et al. (2001), (2) Log of per capita income relative to the U.S. from the Penn World Table 6.1, (3) Trade openness defined as exports plus imports over GDP also from the PWT, and (4) Interaction term of trade openness and per capita income. All variables are averages for each country in 1991-2000. In the IV regression the instruments for the stock market capitalization are dummies reflecting the legal origin of the country (English, French, German, Scandinavian or Socialist). The constant in the regression is not reported. Robust standard errors are reported below the coefficients. Significance: * 10%, ** 5%, *** 1%. Stock Market Cap. IV 5.00 *** (1.59) Stock Market Cap. Squared -2.77 (0.98) Log Income OLS 0.67 *** (0.23) *** -0.30 *** (0.10) 0.18 0.44 (0.16) (0.07) Trade Openness IV 6.41 1991-2000 OLS ** 0.56 (2.74) (0.24) -4.02 (1.80) *** ** -0.20 0.10 0.46 (0.25) (0.07) 1.03 -0.15 (0.75) (0.07) R2 First-Stage F-statistic J-test p-value J-test 90 90 90 0.66 3.06 3.26 0.20 90 IV 4.66 * -2.95 (1.23) *** ** OLS 0.50 ** (0.22) ** -0.22 ** (0.11) 0.02 0.39 (0.21) (0.08) 0.08 -0.37 *** (0.00) (0.13) 0.010 0.004 (0.000) (0.002) 90 0.67 4.87 1.82 0.40 ** (1.94) (0.11) Trade Openness x Income No. Countries ** 90 0.69 2.19 3.78 0.15 *** ** Table 4 The Effect of Stock Market Development on Price Levels: Additional Determinants of Prices The dependent variable is the log price level relative to the U.S. taken from the Penn World Table 6.1. The independent variables are: (1) Stock market capitalization over GDP and its quadratic term from Beck et al. (2001), (2) Log of per capita income relative to the U.S. from the Penn World Table 6.1, (3) Government final consumption expenditure over GDP from the WDI, (4) Net external position as fraction of GDP from Lane and Milesi-Ferreti (2007), (5) Terms of trade growth from the World Bank, and (6) Index of exchange rate flexibility from 1 (least flexible) to 6 (most flexible) taken from Reinhart and Rogoff (2004). All variables (except for the net external position which is measured in 1995) are averages for each country in 1991-2000. In the IV regressions the instruments for the stock market capitalization are dummies reflecting the legal origin of the country (English, French, German, Scandinavian or Socialist). The constant in the regression is not reported. Robust standard errors are reported below the coefficients. Significance: * 10%, ** 5%, *** 1%. IV IV Stock Market Cap. 4.09 *** 7.19 ** (1.29) (3.52) Stock Market Cap. Squared -2.26 *** -3.93 ** (0.82) Log Income 0.28 ** (0.14) 1991-2000 IV IV IV IV 4.11 *** 4.70 *** 4.05 *** 3.41 ** (1.46) (1.63) (1.14) (1.99) (0.87) (1.00) (0.76) -0.13 0.27 ** 0.22 0.23 * 0.32 *** (0.37) (0.14) (0.16) (0.13) (0.13) Government Expenditure -1.61 (2.27) 0.43 0.13 (0.38) (0.16) Terms of Trade Growth -2.73 * -5.10 ** (1.39) (2.38) ER Flexibility No. Countries 89 First-Stage F-statistic 3.75 J-test 5.68 p-value J-test 0.06 (1.00) -2.30 (1.73) Net External Position (1.68) -2.28 *** -2.59 *** -2.21 *** -1.83 * 86 3.06 1.71 0.43 83 3.39 2.34 0.31 90 3.12 4.12 0.13 -0.07 -0.06 (0.06) (0.06) 84 3.84 4.54 0.10 76 5.99 3.60 0.17 Table 5 Are Legal Origins Working Through the Stock Market? The dependent variable is the log price level relative to the U.S. taken from the Penn World Table 6.1. The independent variables are: (1) Stock market capitalization over GDP and its quadratic term from Beck et al. (2001), (2) Log of per capita income relative to the U.S. from the Penn World Table 6.1, (3) Log of the number of procedures from Djankov et al. (2002), and (4) Labor law index from Botero et al. (2004). All variables are averages for each country in 19912000. In the IV regressions the instruments for the stock market capitalization, the number of procedures and the labor law index are dummies reflecting the legal origin of the country (English, French, German, Scandinavian or Socialist). The constant in the regression is not reported. Robust standard errors are reported below the coefficients. Significance: * 10%, ** 5%, *** 1%. Stock Market Cap. IV 3.68 *** (1.38) Stock Market Cap. Squared -2.05 OLS 0.65 (0.25) *** (0.74) -0.30 0.27 (0.13) (0.08) Log Number of Procedures -0.12 -0.13 (0.27) (0.09) ** 0.42 Labor Law Index *** -2.09 0.65 72 72 *** -0.25 0.56 ** *** (0.07) ** -1.05 (1.15) (0.44) 72 72 0.68 1.98 0.91 0.64 * (0.11) ** (0.27) 0.66 5.69 3.25 0.07 OLS 0.42 (0.24) (0.69) *** -2.36 2 R First-Stage F-statistic J-test p-value J-test (1.30) (0.11) Log Income No. Countries 1991-2000 IV *** 2.97 ** ** Table 6 The Effect of Stock Market Development on Price Levels: Basic Panel Data Evidence The dependent variable is the log price level relative to the U.S. taken from the Penn World Table 6.1. The independent variables are: (1) Stock market capitalization over GDP and its quadratic term from Beck et al. (2001), and (2) Log of per capita income relative to the U.S. from the Penn World Table 6.1 All variables are non-overlapping five-year averages for each country in 1976-2000. System GMM is estimated using the xtabond2 routine for Stata. Columns (1), (2) and (4) use one-step GMM, column (3) uses two-step GMM. All variables are considered to be weakly exogenous, except for income in column (4) that is considered strictly exogenous. The last two columns present OLS and country-fixed effect regressions respectively. Time dummies in the regressions are not reported. Robust standard errors are reported below the coefficients. Significance: * 10%, ** 5%, *** 1%. Stock Market Cap. GMM (1) 0.86 Stock Market Cap. Squared -0.25 GMM (2) 1.73 (0.54) Log Income ** (0.78) * -0.62 1976-2000 2-step GMM GMM (3) (4) 1.34 ** 0.95 (0.55) ** -0.51 ** 0.19 * -0.06 (0.42) *** -0.41 FE ** (0.09) (0.12) * -0.02 -0.01 0.13 0.39 (0.29) (0.34) (0.28) (0.07) (0.03) (0.09) 90 314 0.32 0.17 14 90 314 0.32 0.05 14 90 314 0.32 0.08 12 90 314 90 314 same as (2) same as (2), income exog. (0.03) 0.00 (0.30) Xt-2 ΔXt-1, ΔXt-2 (0.21) 0.07 (0.15) No. Countries 90 No. observations 314 Hansen J-test p-value 0.20 AR(2) Test p-value 0.04 Moment Conditions 17 Instruments: Difference equation Xt-2, Xt-3, Xt-4 Levels equation ΔXt-1 (0.19) OLS *** 0.45 (0.04) *** 0.29 *** Table 7 The Effect of Stock Market Development on Labor Shares of Industry and Services The dependent variable is the share of total labor that is employed in industry or services in a country, as reported in the WDI. The independent variables are: (1) Stock market capitalization over GDP and its quadratic term from Beck et al. (2001), (2) Per capita income relative to the U.S. and its quadratic term from the Penn World Table 6.1. All variables are averages for each country in 1991-2000. In the IV regressions the instruments for the stock market capitalization are dummies reflecting the legal origin of the country (English, French, German, Scandinavian or Socialist). The constant in the regression is not reported. Robust standard errors are reported below the coefficients. Significance: * 10%, ** 5%, *** 1%. 1991-2000 Industry Stock Market Cap. IV -0.16 ** (0.08) Services OLS -0.03 IV -0.71 (0.02) (0.22) Stock Market Cap. Squared 0.33 *** 0.22 (0.09) ** 0.10 (0.04) Income Squared ** 0.71 ** (0.17) No. Countries 74 2 R First-Stage F-statistic J-test p-value J-test 74 74 0.10 3.07 8.61 0.04 0.08 IV 0.07 OLS -0.01 IV 1.07 (0.09) (0.02) (0.44) ** -0.57 (0.03) *** (0.17) -0.41 *** (0.05) (0.13) Income OLS -0.17 0.47 (0.25) *** (0.12) ** -0.35 0.25 (0.11) 0.33 (0.06) ** (0.13) 74 74 0.34 4.36 1.62 0.45 ** 74 *** (0.09) ** 0.02 (0.04) 0.06 0.61 (0.31) (0.19) 0.00 -0.29 (0.27) (0.15) 74 74 0.37 3.07 9.62 0.02 ** OLS -0.04 0.39 4.36 1.59 0.45 *** * Table 8 The Effect of Stock Market Development and Labor Law on Wages The dependent variable is the log monthly wage in international dollars for each of the 9 sectors of the ISIC-Rev.2 classification. The independent variables are: (1) Stock market capitalization over GDP and its quadratic term from Beck et al. (2001), (2) Log of per capita income relative to the U.S. from the Penn World Table 6.1, and (3) Labor law index from Botero et al. (2004). All variables are averages in 1991-2000. Regressions are estimated using instrumental variables. The instruments for the stock market capitalization are dummies reflecting the legal origin of the country (English, French, German, Scandinavian or Socialist). The constant in the regression is not reported. Robust standard errors are reported below the coefficients. Pooled regressions (last row) include sector dummies, but they are not reported. In this case, robust standard errors clustered by country are reported below the coefficients. Significance: * 10%, ** 5%, *** 1%. 1991-2000 Stock Market Cap. Squared -8.27 Stock Market Cap. Agriculture, Hunting, Forestry and Fishing 8.96 (8.95) Mining and Quarrying 3.39 ** (1.59) Manufacturing 3.65 *** (1.41) Electricity, Gas and Water 2.69 Construction 2.93 ** *** (1.10) Wholesale and Retail Trade and Restaurants and Hotels 3.65 3.41 ** 3.00 *** 1.99 ** * (1.11) All Sectors (Pooled Regression) 3.07 (1.16) (1.20) (0.14) -2.28 ** *** 0.62 -1.26 0.43 (1.06) (0.14) -1.74 -2.45 -1.77 ** 0.67 ** 0.57 0.40 0.29 (0.16) -0.81 0.53 (0.85) (0.14) ** 0.53 (0.13) 3.25 ** (1.42) *** 68 2.85 * (1.72) *** *** 58 58 *** 50 *** 57 (0.15) (1.20) (0.87) 59 (0.20) * 1991-2000 with Labor Law Index Stock Market Labor Log Cap. Squared Law Income -2.93 -2.33 * 1.07 *** Stock Market Cap. 3.07 (3.84) *** (0.14) -1.65 -1.76 N 37 (0.17) (1.01) (1.51) Community, Social and Personal Services 0.49 (1.08) (1.24) Financing, Insurance, Real Estate and Business Services (0.27) -1.84 (0.74) (1.57) Transport, Storage and Communication (10.31) (0.96) (1.25) Log Income 0.78 *** * *** *** 48 48 483 1.89 * (4.02) (1.39) -1.37 1.22 0.31 (1.02) (1.13) (0.25) -2.63 ** -3.19 * (1.05) (1.67) (0.33) 1.10 -1.11 -1.10 0.67 (0.72) (0.95) (0.21) 1.80 -1.61 (0.74) ** -2.29 * (1.25) * 1.04 3.02 -4.46 -7.18 ** 1.82 (2.57) (3.42) (0.87) 2.49 -2.40 ** -3.11 ** 1.02 (1.57) (0.98) (1.40) (0.38) 2.46 -2.99 (2.45) (1.51) (2.73) 1.38 -2.36 -5.43 * 1.55 (2.38) (1.62) (2.89) (0.63) -2.27 ** -3.04 ** 1.04 (0.91) (1.42) (0.35) 2.35 (1.37) * *** 56 *** 47 *** 48 ** 42 *** 48 ** 40 ** 40 *** 399 (0.26) (3.86) ** -5.12 * 49 (0.41) (0.97) (1.15) N 29 1.22 (0.62)