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Faculty of Business and Law School of Accounting, Economics and Finance Financial Econometrics Series SWP 2012/05 Expectations of future income and real exchange rate movements A. Hayat, B. Ganiev, and X. Tang The working papers are a series of manuscripts in their draft form. Please do not quote without obtaining the author’s consent as these works are in their draft form. The views expressed in this paper are those of the author and not necessarily endorsed by the School or IBISWorld Pty Ltd. Expectations of future income and real exchange rate movements Aziz Hayata,∗, a Financial Bahodir Ganievb, Xueli Tangc Econometrics Group, School of Accounting, Economics, and Finance, 70 Elgar Road, Burwood Highway, VIC 3125, Deakin University, Melbourne, Australia. b Westminster International University in Tashkent, 12 Istikbal Street, Tashkent, Uzbekistan. c School of Accounting, Economics, and Finance, 70 Elgar Road, Burwood Highway, VIC 3125, Deakin University, Melbourne, Australia. This version: November 29, 2012 Abstract We show that the changes in expectations of future income driven by exogenous factors (such as the discovery of oil, an increase in global demand for natural resources, etc.) can cause movements in the real exchange rate (RER) in excess of, and sometimes even in the opposite direction to, what one would expect given the changes in current income. We provide both a theoretical model and empirical evidence of this. In particular, we show that the signing of numerous production sharing agreements (PSAs) between the government of Azerbaijan and foreign oil companies in 1994–99 fuelled expectations of higher future incomes, resulting in a considerable appreciation of the RER. Some of these PSAs subsequently failed or ran into difficulties, which led to a downward revision of expected future income and a depreciation of the RER in 1999–2003, even though the current income started to rise, due to an increase in the current oil revenue. JEL classification: C22; P28; E61; F31 Keywords: Expectations of future income; Real exchange rate; Booming sector; Azerbaijan economy Corresponding author. Tel.: +61 3 924 46358; fax: +61 3 924 46283. E-mail addresses: [email protected] (A. Hayat), [email protected] [email protected] (X. Tang) ∗ 1 (B. Ganiev), 1. Introduction Azerbaijan is one of the fifteen countries of the former Soviet Union (FSU) that became an independent state after the disintegration of the FSU in 1991. It has been undergoing a transition from a centrally planned to a market-based economy since 1992 and experiencing an oil boom since 1994, and its economic fundamentals have generally been strengthening since 1996. All of these factors tended to put upward (appreciation) pressure on the real exchange rate (RER) of the country’s national currency, the Manat, in the second half of the 1990s and the early 2000s, yet the RER of the Manat depreciated significantly over the period 1999–2003. Some of the researchers working on Azerbaijan’s economy (including those at the IMF) view the depreciation of the Manat in real terms over the period 1999–2003 as being a result of the foreign exchange interventions of the National Bank of Azerbaijan (NBA), the country’s central bank, and its loose monetary policy (IMF, 2004). Accordingly, the depreciation of the RER led to its deviation from the equilibrium level (that is, to exchange rate misalignment). The reason for this is that only real variables (known as RER fundamentals) can affect the equilibrium RER (ERER). Monetary policy cannot impact ERER. Net purchases of foreign exchange by a central bank can cause a depreciation of RER, but put appreciation pressure on ERER through the accumulation of official reserves. We argue that the depreciation of the Manat in real terms over the period 1999–2003 was, to a considerable degree, a result of the oil euphoria that occurred in Azerbaijan in the mid-1990s. The signing of numerous production-sharing agreements (PSAs) between the government of Azerbaijan and foreign oil companies between 1994 and 1998 led to the expectation of a higher future oil income and an excessive (after controlling for the effects of ERER fundamentals on RER) appreciation of RER at that time, even though actual oil income remained small. Subsequently, some of the PSAs failed or ran into difficulties, which led to a downward revision of expected future oil income and, thus, to the depreciation of RER over the period 1999–2003, even though the actual oil income started to increase. The excessive appreciation from 1994–1998 seems to have been undone by the depreciation of 1999–2003, as RER started appreciating again in 2004. Similar phenomena appear to have happened or be happening during boom and doom times in other economies, such as Australia, the UK and the USA. 2 A more general point we make is that expectations of future income, driven by exogenous factors such as oil euphoria, an increase in the global demand for natural resources, high levels of external financial assistance during economic crises, etc., can have a strong influence on RER in a booming/dooming economy. To the best of our knowledge, this point has been completely overlooked in the literature to date. We provide both a theoretical model and empirical evidence showing that changes in expectations about future income levels cause movements in RER in excess of, and sometimes even in the opposite direction to, what one would expect given the changes in current income. The balance of the paper is organized as follows. In the next section, we provide a plausible list of the fundamentals of RER for Azerbaijan, taken from other studies which have been conducted on transition and natural resource boom economies. In Section 3, we derive and construct Azerbaijan’s RER. We set up the theoretical model for the problem in Section 4, and discuss the construction of measurements of future income in Azerbaijan in the following section. We then provide empirical results in Section 6. In Section 7 we discuss the implications of RER depreciation in Azerbaijan’s economy and provide a plausible explanation of the influence of expectations of future income on the RER of other major economies during their boom and doom times. Finally, in Section 8 we provide concluding remarks. 2. Fundamentals of RER In this section, we summarize the findings of other studies as to the ways in which being in a transition state, having a resource boom, and the strengthening of economic fundamentals would affect RER. In a centrally planned economy, RER is generally set above the equilibrium level. In other words, RER is overvalued. Therefore, the transition from a centrally planned to a market-based economy brings about a sharp depreciation of RER (Halpern and Wyplosz, 1997). This sharp initial depreciation of RER is then followed by its gradual appreciation. One reason for this is that the transition process involves the dismantling of old production structures and structural reforms, which lead to increases in productivity, especially in the production of tradable goods. Consequently, real wages and the relative prices of non-tradable goods rise, inducing an appreciation of RER (Halpern and Wyplosz, 1997; 3 Obstfeld and Rogoff, 1996).1 In many transition economies, another reason for the gradual appreciation of RER (after its sharp initial depreciation) is high inflation and a less-thancommensurate depreciation of the nominal exchange rate (Orlowski, 1998). Furthermore, the liberalization of capital accounts, and subsequent capital inflows, can also lead to an appreciation of RER at later stages of the transition process (Orlowski, 1998; Coricelli and Jazbec, 2004). A number of studies demonstrate the way in which economic fundamentals drive movements in RER. For example, the relationship between economic fundamentals and movements in RER is investigated by Paiva (2001) for Costa Rica, Kuralbayeva et al. (2001) for Kazakhstan, and Beguna (2002) for Latvia. The economic fundamentals used in these studies that affect movements in RER rate are fiscal stance, net capital flows, the degree of openness, the terms of trade (TsOT), productivity, and the interest rate differential. Égert et al. (2006) investigate whether productivity and net foreign assets explain the appreciation of RER in 11 transition economies in the period of the 1990s and the early 2000s. They find that productivity causes RER to appreciate in five Central and Eastern European economies (CEE-5), and has no effect in Baltic transition economies. Contrary to our expectations, an increase in net foreign liabilities led to a real appreciation in the Baltic countries, but to the expected depreciation in the CEE-5 economies. Lim (1992) provides empirical evidence of the rejection of hypotheses of purchasing power parity (PPP) (as a theory of the long-run behavior of the real exchange rate), and the uncovered interest parity (as a theory of short-run behavior) for RER between the US and other G-10 countries. Instead, he finds support for the idea of RER fundamentals (such as productivity, ToT, and interest rate differentials) explaining the variation in RER. In connection with the PPP theory for RER (i.e., whether RER can be a stationary process), there is a considerable body of literature that provides empirical evidence either for or against the PPP theory. See for instance Zhou and Kutan (2011); Chortareas and Kapetanios (2009); Sarno and Valente (2006); Nikolaou (2008); and Parsley and Wei (2007), among many others. There are also studies that focus solely on the relationship between RER and the variable of interest in a controlled environment. For example, the relationship between 1 This phenomenon is often referred to as the Balassa-Samuelson effect. 4 productivity and the movement of RER is explored by Égert (2002) for the Czech Republic, Hungary, Poland, Slovakia and Slovenia; Égert (2005) for three south-eastern European countries (Bulgaria, Croatia and Romania), two CIS economies (Russia and Ukraine) and Turkey; and De Broeck and Sløk (2006) for 26 different countries.2 The relationship between RER and oil price movements is examined by Kutan and Wyzan (2005) for Kazakhstan; Koranchelian (2005) for Algeria; Zalduendo (2006) for Venezuela; and Korhonen and Juurikkala (2009) for the OPEC countries, among others. Likewise, Bagella et al. (2006) analyze the relationship between the volatility of real effective exchange rates (REER) and growth in per capita income. Their approach to testing such a hypothesis is unique, in the sense that they test the effects of flexible exchange rates and volatile exchange rates jointly, which had not been possible previously, due to the high correlation between exchange rate regimes and bilateral exchange rate volatility measures. There is an expanding body of literature on commodity currencies, which relates commodity prices to RERs (Chen and Rogoff, 2003; Cashin et al., 2004, and followers). These studies, among others, find a link between RER and the commodity prices, although the results are somewhat weak and mixed. For instance, this link only exists for about onethird of the 44 commodity exporting countries studied by Cashin et al. (2004), whereas Chen and Rogoff (2003) find RER being affected by commodity prices in two of the three commodity exporting countries they consider. However, we believe that the missing link in this literature is the effect of a substantial change in commodity prices on expectations of a country’s future income, which depend not only on current commodity prices, but also on expected future commodity prices. In some countries and in some sub-periods, the changes in the commodity prices are not sufficient to change the expectations of the country’s future income, and hence to cause significant RER movements, as appears to be the case when RER does not respond to changes in commodity prices as per this literature. To the best of our knowledge, there has been no study to date which has discussed the role of oil companies in creating oil production hype by providing estimates of oil reserves 2 Ten EU accession countries (the three Baltics, Bulgaria, the Czech Republic, Hungary, Poland, Romania, the Slovak Republic, and Slovenia) and 16 other transition economies (Albania, Croatia, the former Yugoslav Republic of Macedonia, Mongolia, Russia, and the other countries of the former Soviet: Armenia, Azerbaijan, Belarus, Georgia, Kazakhstan, the Kyrgyz Republic, Moldova, Tajikistan, Turkmenistan, Ukraine and Uzbekistan). 5 which are in excess of actual reserves, which in turn raises expectations of future income levels, thereby affecting the real exchange rate movements in a resource booming economy. This study is an attempt to fill this gap. 3. What can drive RER movements? There are many different definitions of the RER.3 Following Dornbusch (1974), Krueger (1982), and Frenkel and Mussa (1985), we define the RER as follows:4 RER = P rice of non-tradable goods . P rice of tradable goods (1) In our empirical analysis, we use the following two measures of the RER: RER1 = CPIAZ Services CPIAZ F ood & non-f ood products wi 18 Y CPIAZ Services , RER2 = ei × WPIi i=1 (2) (3) where CPI is the consumer price index in Azerbaijan (AZ), WPI is the wholesale price index in Azerbaijan’s main trading partners,5 ei is the nominal exchange rate of Azerbaijan’s national currency, the Manat, against the currency of its trading partner i (expressed in the foreign currency per Manat), wi is the trade share of trading partner i in Azerbaijan’s 18 X non-oil trade turnover in 2001, and wi = 1. In both RER1 and RER2, we use the CPI i=1 for services as a proxy for the aggregate price of non-tradable goods in Azerbaijan. In RER1, we use the CPI for food and non-food products (excluding services) as a proxy for the price of tradable goods in Azerbaijan. In RER2, we use the weighted average WPI of Azerbaijan’s main trading partners as a proxy for the price of tradable goods in Azerbaijan. This is because we believe that prices of tradable goods in Azerbaijan are more closely related to the WPI than to the CPI of the country’s trading partners, as services (that is, non-tradables) have a relatively large weight in the CPI. 3 See Edwards (1989) for a brief review of some of these definitions. According to this definition, an increase in the RER corresponds to its appreciation. In this study, we use the terms ‘goods’ and ‘goods and services’ synonymously. 5 These trading partners are China, France, Germany, Greece, Iceland, Iran, Israel, Italy, Japan, Kazakhstan, the Netherlands, Russia, Spain, Turkey, UAE, the UK, Ukraine and the USA. 4 6 Following Edwards (1989), we define ERER as the relative prices of non-tradable to tradable goods that result in the simultaneous attainment of both an internal and an external equilibrium, for given long-run equilibrium values of other relevant variables (fundamentals). An internal equilibrium occurs when the non-tradable goods market clears in the current period and is expected to be in equilibrium in the future. An external equilibrium occurs when the current account balances both in the present period and in the future satisfy the inter-temporal budget constraint which states that the discounted value of the current account balances has to be equal to zero. This leads to the concept of the behavioral equilibrium exchange rate. Thus, we expect the actual real exchange rate to be in equilibrium in a behavioral sense; i.e., its movements should reflect changes in the fundamentals of the economy (Clark and MacDonald, 1999). Below, we discuss the ideas involved in the estimation of the equilibrium relationship between RER and its fundamentals. Assume that the prices in an economy are determined by the market. Then, the best guess for the actual RER (with no other information) would be E[RERt ] = ERERt . (4) Now suppose that we do not know ERER, but we do have a theory of how it is determined, i.e., ERERt = f (tradf undamentalst , zt ), (5) where tradf undamentalst is a vector of traditional fundamentals of RER and zt is a candidate new fundamental representing the expected future (oil) income. We do not observe f ; however, we can estimate it. Equations (4) and (5) imply RERt = f (tradf undamentalst , zt ) + εt . (6) Equation (6) is a valid regression equation, as long as the following conditions hold: E[εt |tradf undamentalst , zt ] = 0 E[ε2t |tradf undamentalst , zt ] = constant E[εt εt−k |tradf undamentalst , zt ] = constant ∀t, k and k 6= 0. 7 (7) Equation (6) implies that ERER could be estimated meaningfully by simply regressing the actual RER on traditional RER fundamentals and zt (a candidate new fundamental), provided that equation (7) holds. The traditional RER fundamentals discussed in the literature are productivity, foreign direct investment (FDI), government expenditures, openness, interest rate differentials, and TsOT, stock of net foreign assets, among others. We obtained the data used in this study from the Asian Development Bank, Economist Intelligence Unit (EIU), IMF and NBA. The frequency is quarterly and the sample period is from the first quarter of 1996 to the fourth quarter of 2003. The traditional RER fundamentals that we use as control variables are: productivity (as measured by the ratio of real GDP to employment), TsOT (the ratio of export prices to import prices), country risk6 (an index of economic and political stability computed by EIU), openness (the ratio of the sum of exports and imports to GDP), the interest rate differential (vis-á-vis the US), government expenditures (as a percentage of GDP), and FDI inflows (as a percentage of GDP). The data for all of these variables, except for the country risk, are converted to an index, with 2001 as the base year. Productivity, openness and government expenditures are adjusted for seasonal factors. A priori, we would expect RER to have a positive relationship with productivity, TsOT, openness and government expenditure and FDI inflows, and a negative relationship with country risk. Productivity has a positive effect on the exchange rate through the BalassaSamuelson effect. An improvement in TsOT leads to appreciation of RER through the wealth effect. Greater openness generally causes RER to appreciate by enhancing competition, raising productivity and increasing capital inflows. An increase in government expenditure often leads to the appreciation of RER, because governments usually spend more on non-tradable goods than on tradable goods. We would expect stronger inflows of FDI and other capital to cause an appreciation of RER, as they increase the supply of foreign exchange. We would also expect a higher country risk to lead to a depreciation of RER, since it reduces capital inflows and the supply of foreign exchange. We plot actual values of these fundamentals (solid lines), along with their predicted 6 We include the country risk to adjust for endogeneity, which may be present due to its relationship with FDI. This is because a country with a lower risk will attract a greater FDI relative to a similar country with a higher country risk. 8 2004 1996 1998 2000 2002 2004 80 60 40 2004 1996 1998 2000 2002 2004 1996 1998 2000 2002 2004 TsOT Index 0.4 0.8 1.2 100 150 200 2002 8 2002 2000 7 2000 1998 6 1998 1996 5 1996 Govt. Expend. Index 2004 4 Openness Index 120 100 80 2002 70 Productivity Index 60 2000 60 FDI Index 1998 50 Country Risk Rating 1996 Notes: A locally-weighted polynomial regression is used to smooth the curves in the plots. The solid lines represent actual values of the variables, while the dashed lines represent their smoothed (predicted) values. Fig. 1: Evolution of the fundamentals of RER in Azerbaijan. 9 values from a locally weighted polynomial regression (dashed lines), in Fig. 1. Clearly, the smooth curves (dashed lines) for productivity, openness, FDI and TsOT point to the appreciation of RER. The government expenditures and the country risk suggest that the appreciation of RER began some time around 2001. In light of the evolution of the fundamentals, the features of transition economies and the findings of previous studies, we would expect the RER in Azerbaijan to appreciate more or less steadily over the period 1996–2003. However, the RER in Azerbaijan actually appreciated in 1996–1998 but depreciated in 1999–2003. We plot RER, as defined in equations (2) and (3), in Fig. 2. Each of the RERs shows a depreciation between 1999 and 2004, which is contrary to the features of transition economies, coupled with the booming 3.8 4.0 4.2 RER 4.4 4.6 4.8 oil sector and the movements in the fundamentals of RER in Azerbaijan. RER1 1996 1998 2000 2002 RER2 2004 Note: We constructed RER1 and RER2 as per equations (2) and (3) respectively. Fig. 2: RER movements in Azerbaijan from March 1996 to December 2003. 4. Basic model Following Van der Ploeg (2011), we assume a small open economy populated by a large number of identical households. The number of households remains unchanged over time 10 and is normalized to unity. The economy possesses considerable reserves of oil. However, the exact amount of its oil reserves cannot be determined. Moreover, the economy does not have the technology for oil production, and therefore oil can only be produced by foreign firms, using foreign labor and foreign capital. Since there is no domestic consumption of oil, the entire output of oil needs to be exported. The economy signs PSAs with several leading foreign oil firms. The PSAs specify the total amount of oil to be produced under each agreement. They also stipulate that the proceeds from oil exports are to be divided into two parts. One part is to be retained by the foreign oil firms to cover production costs. The other part is to be equally divided among the (domestic) households as households’ oil income Wt . The households are informed about the terms of the PSA. However, they cannot predict the exact amount of their oil income in future periods, due to uncertainties relating to the volume of domestic oil production and the world price of oil in those periods. Instead, the households form expectations about their future oil income, using all of the available information, such as the total amount of oil to be produced under the existing PSAs. The larger the total amount of oil to be produced under the existing PSAs, the more oil income the households expect to receive in the future. This means that their future realized oil income can change if the PSAs or the volume of oil production change (see Pindyck, 1980, for example), new alternative technology is invented, or other sources of resources are discovered, as Dasgupta et al. (1978) discuss. Following Cashin et al. (2004), we assume that the households consume a (composite) non-oil tradable good, CtT , imported from foreign countries, and a (composite) non-tradable good, CtN . They do not value leisure, and supply labor inelastically in domestic firms producing non-tradable goods. The price of the tradable good is in the local currency of one unit of the tradable good, is taken as exogenous, and is determined by the world consumption or demand, Cwt, i.e., PT = g (Cwt ). The price of the non-tradable good, PN , is determined by the domestic consumption demand, i.e., PN = f (Ct ).7 7 In the study by Cashin et al. (2004), the price of tradable and non-tradable goods depends on a constant labour supply. In this paper, we instead normalize the labour supply to one. However, following Obstfeld and Rogoff (2001), we set the price as a function of consumption, and consider the expected present value of future income as an important factor for price, as was implicitly shown by Carroll (2001). 11 Each agent consumes the non-tradable and tradable goods to maximize their utility. Following Carroll (2001), an agent’s optimal level of consumption, Ct = CtT + CtN , is equal to the sum of their oil income, Wt , and their labour income, Ht : Ct = kt (Wt + Ht ) , (8) where kt includes the preference rate and other factors, and income, Wt and Ht , includes both current and expected present values of future income, # " T̄ X YW +YH i i Wt + Ht = Et i−t , (1 + R) i=t (9) where R and T̄ denote the interest rate and life expectancy, respectively, and YiW and YiH denote current income. These factors, along with others, affect W W W Yi+1 = ΨW AW i+1 , Yi , εi and H H H Yi+1 = ΨH AH , i+1 , Yi , εi (10) (11) H where AW i+1 represents factors such as the productivity of foreign firms, Ai+1 represents government expenditures or FDI, and εW εH denotes shocks to income such as resources i i booms or PSA shocks (financial crises). RER is a function of the price of non-tradable, PN , to tradable, PT , goods. Consequently, RER can be expressed as a function of expected future income and world consumption or demand as follows RERt = PN , PT (12) " T̄ # ! X YW +YH i i = R Et i−t , Cwt . (1 + R) i=t (13) The above equation shows that RER is determined not only by the consumption of imported tradable goods or world consumption/demand, Cwt , but also by the current and expected future oil and labour income, Et (.), which can be influenced by government expenditures, FDI, productivity, or PSAs. This is in contrast to the finding of Korhonen and Juurikkala (2009) that the price of oil has a significant effect on real exchange rates in a group of oil producing countries. 12 Interestingly, the average growth of yearly consumption in Azerbaijan for the period 1995–1998 was around 17.4%, whereas the average consumption growth for the period 1999–2003 was around 7.34%—a drop in consumption growth of around 57.9%. Below, we argue that the appreciation of the RER over the period 1996–1998 was due to the oil euphoria, which caused expectations of ever higher future incomes from the revenues of oil production; as a result, consumption growth increased and the RER appreciated. Later on, over the period 1999–2003, when some of the PSAs began to fail or ran into difficulties, the expectations of ever higher incomes slipped, the consumption growth dropped and the RER depreciated. 5. Expectations of future income We construct two measures for determining the evolving expectations of future incomes in Azerbaijan over the period 1992–2003. As per the model in equation (13), the measure uses the cumulative (over time) estimated oil reserves (in billions of barrels), which we refer to as CEOR,8 to proxy for the expected cumulative future income, based on PSAs signed between the Azerbaijan government and oil extracting companies. This measure is based on the estimated oil reserves from the 25 PSAs that were signed between 1992 and 1999. However, of these 25 PSAs, seven subsequently failed, and we adjust the CEOR9 accordingly between 1999 and 2003. We refer to this measure of evolving expectations of future income in Azerbaijan as CEOR1 hereafter. Another four PSAs,10 while not completely failing, ran into difficulties in the period 2000–2003, and we likewise remove their estimated oil reserves from the CEOR1 measure in the same period. We refer to this measure of the expectations of future income in Azerbaijan as CEOR2. Thus, CEOR1 and CEOR2 are the same until 1999. These are the two measures of expected future 8 The estimated oil reserves are taken from the energy information administration website http://www.eia.doe.gov/emeu/cabs/azerproj.html. 9 For example, Karabagh (offshore) was signed in December 1995 with an estimated oil reserve of 1 billion barrels. It was closed in January 1999 as a result of finding no hydrocarbon reserves. In the construction of CEOR, we use 1 billion of barrels oil from Karabagh in December 1995, but subtract the same amount (1 billion) when it became known to have failed, i.e., in March (for quarterly data) 1999. 10 For example, the Araz, Alov, and Sharg project was signed in July 21, 1998, and ratified in December 1998, but exploration was later suspended due to a confrontation with an Iranian gunboat in July 2001, pending the resolution of Caspian Sea borders between Azerbaijan and Iran. 13 income in Azerbaijan that we consider. However, we think that the second measure of the expectations of future income in Azerbaijan, CEOR2, is more appropriate, as it excludes the estimated oil reserves from all unsuccessful PSAs in the subsequent periods. We then construct the measure of the realized (actual) future income of Azerbaijan over the period 1992–2003. This measure is based on the cumulative estimated oil reserves from the 14 successful PSAs only, and is referred to as CEOR-Adj (i.e., CEOR adjusted for the unsuccessful PSAs).11 The CEOR1, CEOR2, and CEOR-Adj measures are shown in Fig. 3 for the period from March 1996 to December 2003. By the end of June 1999, the total oil reserves, from 25 PSAs, were estimated to be around 27 billion barrels, which fed into expectations of an ever higher income in Azerbaijan. Some of the PSAs subsequently failed, which contributed to a loss of around 6 billion (more than 12 billion) barrels of oil, according to the COER1 measure (CEOR2 measure), which led to expectations of a lower future income over the period 1999–2003. The lost amount of oil reserves constitutes around 29% or 47% (depending on which measure we use) of the estimated oil reserves from the successful PSAs. We think that either of these amounts would have been enough to cause a revision of the expectations of an ever higher income in Azerbaijan in the period of 1999–2003, which seems to have caused the depreciation of its real exchange rate since 1999. This is the focus of the next section, where we empirically test whether the COER explains the variation in the RER and could have caused the depreciation observed since 1999. The gap between CEOR1 (or CEOR2) and CEOR-Adj shows the effect of unsuccessful PSAs on the expectations of future income. The CEOR (continuous black line in Fig. 3) therefore reflects (optimistic) expectations of the future income, based on current period information. In other words, expectations based on the continuous line are unrealistic, as it considers the future income derived partly from the unsuccessful PSAs. CEOR-Adj, however, measures realistic expectations (or actual/realized future income), as it includes only those PSAs that were actually successful over the period 1996–2003. 11 For example, we did not consider the oil reserve from the Karabagh (offshore) project when we constructed the realized future income, as this was later found to be a failed PSA. 14 3.0 2.5 2.0 CEOR CEOR1 1996 CEOR2 1998 2000 CEOR−Adj 2002 2004 Notes: CEOR1 and CEOR2 stand for the cumulative (over time) estimated oil reserves (in billions of barrels) from two measures, based on production sharing agreements (PSAs) between the Azerbaijan government and oil extracting companies. This is a proxy for the evolving expectations of future income in Azerbaijan over the period 1996–2003. Of the 25 PSAs signed, 14 were successful, seven failed, and another four were not ratified. CEOR1 is based on the estimated oil reserve from 18 PSAs (14 successful and four not ratified) and seven failed PSAs, while CEOR2 is based on the estimated oil reserves from the 14 successful PSAs and 11 unsuccessful PSAs. CEOR-Adj stands for the CEOR adjusted for the 11 unsuccessful PSAs, and is meant to capture the actual future income in Azerbaijan, as it is based on the successful PSAs only. Fig. 3: Expected future incomes (proxied by CEOR1 and CEOR2) and actual future incomes (proxied by CEOR-Adj) in Azerbaijan from March 1996 to December 2003. 15 Table 1: Dickey-Fuller GLS unit root test. Main variable log(RER1) log(RER2) log(PSA) Level series Constant and Trend −2.46 (1) −2.14 (1) −0.57 (1) Control variable log(TsOT) log(Productivity) Risk Openness FDI Govt. expenditure −3.51∗ (3) −4.40∗∗ (0) −1.44 (0) −4.77∗∗ (1) −2.15 (0) −2.10 (0) Constant −1.49 (0) −1.57 (1) −0.39 (1) −1.02 (0) −1.38 (4) −0.93 (0) −2.78∗ (0) −1.16 (0) −1.37 (0) Difference series Constant and Trend Constant −5.68∗∗ (0) −4.64∗∗ (0) −5.25∗∗ (0) −3.94∗∗ (0) ∗∗ −4.05 (1) 0.01 (4) −4.21∗∗ (0) −1.09 (3) −5.13∗∗ (0) −6.62∗∗ (1) −7.07∗∗ (0) −6.19∗∗ (0) −4.18∗∗ (0) −1.20 (3) −4.85∗∗ (0) −6.43∗∗ (1) −7.06∗∗ (0) −6.00∗∗ (0) Notes: * and ** denote significance at the 5% and 1% levels, respectively, and ‘log’ stands for the natural logarithm. The numbers in parentheses are optimal lag lengths, as chosen by the Schwarz information criterion. The maximal lag length was set to seven quarters. 6. Empirical evidence In this section, we describe our methodology and findings, and the implications of the study. 6.1. Unit root testing As we discuss in Section 3, the cointegration relationship in equation (6) requires the linear combination of the variables to either be a stationary process or satisfy equation (7). This can be the case if each of the variables in the cointegrating vector is integrated of order 1 (I(1)). We test for the order of integration in the variables and present our findings in Table 1. We conduct a unit root test from Elliott et al. (1996) because we are uncertain about the mean of the data, i.e., whether the upward slope in the data is due to a deterministic trend or the stochastic trend. The test statistic is a modified version of the Dickey-Fuller t-test, but has a substantially improved power when an unknown mean and trend are present. The test is therefore highly suitable, especially when it is hard to assess the mean process in the data, which can be due to limited data observations. Like the Dickey-Fuller (DF) test, it tests the null hypothesis of the series being a non-stationary process, and is known as the DF Generalized Least Squares (GLS) test. 16 As per the DF GLS test, we find all of the variables to be I(1) processes in levels, except for the Openness variable, which we find to be I(0), while the order of integration for the log(Productivity) variable lies in the indecisive zone. This variable requires further investigation because it is found to be I(0) in levels (with the constant and trend in an auxiliary equation for the unit root test), but its further differences (up to of order 2, not shown here) could not make it an I(0) process. There are two issues that we think are important for the difference series of the log(Productivity) variable. One is serial correlation, as it can be seen that the optimal lag length selected in the auxiliary equation for the difference of log(Productivity) in the DF GLS unit root test is of order 3, and they are individually significant (not shown here). The plot of the difference of log(Productivity) in Fig. 4 highlights the point that its variance does not seem constant either, and if we take care of any autocorrelation and heteroscedasticity, the series is likely be an I(0) process. An ideal unit root test under a high degree of serial correlation and perhaps an unknown form of heteroscedasticity is the test of Phillips and Perron (1988, PP). They propose an alternative (non-parametric) method for controlling serial correlation when testing for a unit root, a method which is robust to the general forms of heteroscedasticity. The PP method therefore seems more appropriate for testing for a unit root in log(Productivity), which suffers from serial correlation and heteroscedasticity. This is evident from the heteroscedasticity- and autocorrelation-corrected (HAC) residual variance, which is under a quarter of the value of the uncorrected residual variance of the difference series. As a result, the t-statistic is inflated, and we therefore see the rejection of the null unit root hypothesis for the difference series. According to the PP test, log(Productivity) may be either I(1) or I(0) (depending on whether we believe it has a stochastic or deterministic trend), as its difference is a stationary process. 6.2. Cointegration relationships We test whether the CEOR variable explains the variation in RER (Eq. (6)) after controlling for the effects of other variables such as TsOT, productivity, risk, openness, FDI and government expenditures. While the relationship in equation (6) can explain the 17 Table 2: Phillips-Perron unit root test. Control variable log(Productivity) Residual variance (no correction) HAC corrected variance (Bartlett kernel) Level series Constant and Trend Constant −6.03∗∗ −0.56 0.003296 0.006349 0.001226 0.002684 Difference series Constant and Trend Constant −10.95∗∗ −11.16∗∗ 0.006095 0.006103 0.001343 0.001367 −10 0 % 10 20 Notes: see the comments for Table 1. HAC stands for the heteroscedasticity- and autocorrelation-corrected residual variance, using non-parametric Bartlett kernel estimation. 1996 1998 2000 2002 Fig. 4: First difference of log(Productivity). 18 2004 real exchange rate in the long-run, the complete (short-run, long-run and lags)12 dynamics of the system can be captured by the error correction model of Engle and Granger (1987), or, more appropriately, by the Johansen (1995) vector error correction model (VECM).13 These models provide the long-run coefficients, along with the coefficients for the speed of adjustment and the short-run deviations that together drive the real exchange rate. Such a VECM can be written as ∆yt = µ + πyt−1 + γ1 ∆yt−1 + γ2 ∆yt−2 + · · · + γp ∆yt−p + ηt , (14) where yt is a vector containing RER and the fundamentals (more precisely, yt = (RERt , ′ COERt , F DIt , P roductivityt, T oTt , Riskt , Govtexpt ) ), p determines the number of lags,14 and ηt is the vector which is assumed to follow a normally distributed white noise process. Since we find the Opennesst variable to be an I(0) process, we use it as an exogenous ′ variable to the system in equation (14). π = αβ contains the long-run (equilibrium) relationships, which can be written as a product of two matrices (one for the speed of adjustment coefficients (α) and the other for the normalized cointegrating vector coefficients (β)), and its rank determines the number of such long-run relationships. In addition, all roots of the system are equal to 7 − r; i.e., we restrict the system to be at most integrated of order 1, as per the unit root test results. The rank of π can be tested using the maximum eigenvalue statistic, −2ln(Q; r|r + 1) = −T ln(1 − λ̂r+1 ), and/or the trace P statistic, LRtr = −T ki=r+1 ln(1 − λi ), from Johansen and Juselius (1990), for testing the existence of r vs. r + 1 cointegration relationships in π, where λ are the eigenvalues (λ1 ≥ λ2 ≥ · · · ≥ λk ), and T is the number of observations. Critical values of the test statistic are provided in the appendix of Johansen and Juselius (1990). As we find all of the variables in the vector yt to be I(1), we now test for the number of cointegrating vectors in the system. As we discuss earlier in the paper, we set the lag order of the VECM in differences to be one, due to the small sample size. The trend 12 In the cointegration literature, the long-run relationship stands for the equilibrium (stationary) relationship and the short-run relationship defines deviations of the real exchange rate from the equilibrium (stationary) level. 13 This is appropriate in cases where there is more than one cointegrated vector and/or the very likely endogeniety issue among variables, which promotes the use of the VECM for RER. 14 For estimation, we only use p = 1, due to data size limitations. 19 variable is restricted in the cointegration space. Finally, the appropriateness of the model is assessed based on measures of serial correlation, normality, heteroscedasticity, and the model’s stability.15 We use the maximum eigenvalue and trace test statistics to determine the number of cointegrating vectors in π, and the results of these tests are given in Table 3. When the trace test results are compared with the relevant limiting distribution, we find that the data suggest using three cointegration relationships at the 5% level, and two at the 1% level.16 However, several studies conclude that the trace test tends to be over-sized in small samples; see for example Jacobson et al. (2001) and Toda (1995). The maximum eigenvalue test suggests two and one cointegration relationships at the 5% and 1% levels, respectively. We use the Bartlett trace statistic for small sample correction with the modified yt , and find evidence of one cointegration vector at the 5% level. Moreover, if we allow two cointegration vectors, the signs in the two cointegration relationships appear to be contrary to economic logic, while the VECM estimation with one cointegrating vector resolves the wrong signs issue. Given all of this evidence and the economic rationales for the cointegration of the variables in the vector yt , we believe that it is best to have one cointegration relationship, namely that of RER with its fundamentals. Following this, we estimate the VECM in equation (14) with one cointegration relationship. The results of the VECM estimation for the variable RER are given in Table 4. 6.3. Findings We select two models for each of RER1 and RER2, and call them RER1.1, RER1.2, RER2.1, and RER2.2. The two models for each RER differ in that the FDI variable is included in the vector yt along with CEOR1 in one model, while it is excluded from the other, as it proves insignificant in both specifications of RER, with contradictory signs (see column LR for RER1.1 and RER2.1 in Table 4). RER1.2 and RER2.2 are therefore the focus of the discussions which follow. The findings are virtually the same qualitatively when we replace CEOR1 with CEOR2 in the vector yt , and therefore we consider it redundant 15 We can check the stability of the estimated VECM based on the inverse kp roots of the characteristic AR polynomial, where k is the number of endogenous variables and p is the largest lag. The stability condition is verified if each of the roots has a modulus of less than one. In a VECM estimation with r cointegration relationships, this implies that k − r roots should be equal to unity. 16 The p-values are computed using the simulated distributions of MacKinnon et al. (1999). 20 Table 3: Johansen unrestricted cointegration rank test. No. of CE(s) r r r r ≤0 ≤1 ≤2 ≤3 Eigenvalue Trace statistic p-value Eigen-statistic p-value 0.990 0.740 0.628 0.388 246.96 108.80 68.44 38.75 0.000 0.001 0.020 0.123 44.50 38.33 32.12 25.82 0.000 0.029 0.096 0.657 Notes: The trace test indicates two cointegrating equations and the eigenvalue test one cointegration equation at the 1% level of significance. The critical values assume no exogenous variable. We assume a linear deterministic trend (restricted). The variables considered with each RER are CEOR1, FDI, Productivity, TsOT, Govt. exp, and Openness (exogenous). to report them here. However, we present the equilibrium relationships obtained from CEOR1 and CEOR2 in Figs. 5 and 6 respectively. For both specifications of RER (i.e., RER1.2 and RER2.2), the long-run coefficients are all significant and have the right signs, including the exogenous variable Openness (see Table 4). The error correction term α is negative, highly significant and large (greater than 0.5), indicating a quick correction of RER to its equilibrium. As expected, the CEOR establishes the equilibrium relationship with the real exchange rate (as the CEOR1 coefficient is positive and significant), along with a significant negative impact in the short-run,17 as do the control variables, which are found to be significant and to have the right signs. The residual analysis at the bottom of Table 4 shows that the RER models satisfy the basic assumptions of no residual autocorrelation, no heteroscedasticity, and multivariate normal residuals. Moreover, the VECMs for RERs are found to be stable, as all of the (non-unit) roots of its polynomial are well below one.18 The models thus appear to be reasonable and appropriate, with good explanatory powers (see below). In Fig. 5, we plot ERER1.2 and ERER2.2 (dashed lines) using only LR coefficients,19 17 Apart from its insignificance in the short-run for RER2.2. If a VECM has k endogenous variables and r cointegrating vectors, there will be k − r unit moduli in the companion matrix. If any of the remaining moduli are too close to one, either the cointegrating equations are not stationary or there is another common trend and the rank of the system specified in the VECM is too high. 19 For example, ERER1.2 = 2.6 + 0.31log(CEOR) + 0.37log(Productivity) – 0.074log(TsOT) – 0.161log(Risk) + 0.110log(Govt. exp) – 0.011Trend. 18 21 Table 4: Estimates of the error correction model in equation (14). Main variable α CEOR1 RER1.1 LR SR −0.795∗∗∗ 0.323∗∗∗ −0.161∗∗∗ RER2.1 LR SR −0.634∗∗∗ 0.444∗∗∗ 0.024 RER1.2 LR SR −0.818∗∗∗ 0.308∗∗∗ −0.146∗∗∗∗ RER2.2 LR SR −0.624∗∗∗ 0.353∗∗∗ 0.039 Control variable RER1 RER2 FDI Productivity TsOT Risk Govt. exp Openness Trend Constant −0.026 0.449∗∗∗ −0.101∗∗∗ −0.105∗ 0.136∗∗∗ −0.011∗∗∗ 2.055 0.036 0.639∗∗∗ −0.302∗∗∗ −0.065 0.032 −0.022∗∗∗ 0.748 0.374∗∗∗ −0.074∗∗∗ −0.161∗∗∗ 0.110∗∗∗ −0.011∗∗∗ 2.593 0.626∗∗∗ −0.349∗∗∗ −0.276∗∗∗ 0.064 −0.019∗∗∗ 2.004 −0.065 0.019 −0.142∗∗ 0.088∗∗∗ −0.163∗ 0.029 −0.064∗∗ 0.295∗∗∗ 0.030 −0.019 −0.174 0.017 −0.146 0.019 −0.031 0.150 Residual analyses for models RER1.2 and RER2.2 LM test for residual autocorrelation for lags 2–6 Jarque-Bera test for the residual’s multivariate normality χ2 test for residual heteroscedasticity VECM stability condition (Roots of characteristic polynomial) −0.055 −0.117∗∗ 0.091∗∗∗ −0.096 0.032 −0.054∗∗ 0.254∗∗∗ p-value ** 0.883 0.524 1,1,1,1,1,0.41, 0.40,0.31,0.31, 0.16,0.13,0.13. 0.007 −0.128 0.066 −0.107 −0.011 −0.018 0.094 p-value ** 1.000 0.659 1,1,1,1,1,0.54, 0.50,0.36,0.36, 0.23,0.23,0.12. Notes: *, **, and *** indicate significance of the test statistic at the 10%, 5% and 1% levels of significance, respectively. Since α is only significant for RER1 and the Productivity equations, we restrict α to be zero for the other six variables before undertaking the residual analyses. However, the other coefficients (two each of αs, βs, and γs) are not affected much by these restrictions, apart from their significance levels, which increase. SR and LR stand for short-run and long-run coefficients, respectively. For SR, the variables are differenced and have a one period lag. 22 along with RER1.2 and RER2.2 (solid lines). ERER1.2-Adj and ERER2.2-Adj use CEORAdj in the computations. For instance, ERER1.2-Adj = 2.6 + 0.31log(CEOR-Adj) + 3.8 RER1.2 ERER1.2 ERER1.2−Adj 1996 1998 2000 2002 2004 3.6 3.8 4.0 4.2 4.4 4.6 4.8 RER2 4.2 4.0 RER1 4.4 4.6 0.37log(Productivity) – 0.074log(TsOT) – 0.161log(Risk) + 0.110log(Govt. exp) – 0.011Trend. RER2.2 ERER2.2 ERER2.2−Adj 1996 1998 2000 2002 2004 Notes: Over-shooting = RERi.2 – ERERi.2-Adj (with successful PSAs only), where i = 1, 2. The ERERs use the CEOR1 measure of expected future income in Azerbaijan. The overshooting seems to end as RERi.2 – ERERi.2-Adj converges to zero. Fig. 5: Oil euphoria and the overshooting of RER when CEOR1 measures expectations of future income. We can see that the ERER1.2 and ERER2.2 each explain more than 90% of the variation in RER1 and RER2, respectively.20 Apart from the productivity variable, the CEOR explains most of the variation in RER. ERER1.2 and ERER2.2 explain why RER1 and RER2 appreciated until 1998 and depreciated thereafter: it is because the signing of numerous PSAs fueled expectations of ever higher future incomes, which increased the consumption, causing RER to appreciate over the period 1994–98, even though the actual oil income growth remained small. The depreciation of RER over the period 1999–2003 was a result of the revision of the expected future income estimates, driven by the realistic oil reserves estimates, when some of the PSAs signed during the period 1994–99 failed or ran into dif20 The value of R2 using only the variables in levels can be obtained by regressing RER on its fundamentals. 23 RER2 1996 1998 2000 2002 2004 3.6 3.8 4.0 4.2 4.4 4.6 4.8 4.6 4.4 4.2 4.0 RER1 3.8 RER1.2 ERER1.2 ERER1.2−Adj RER2.2 ERER2.2 ERER2.2−Adj 1996 1998 2000 2002 2004 Notes: Over-shooting = RERi.2 – ERERi.2-Adj (with successful PSAs only), where i = 1, 2. The ERERs use the CEOR2 measure of expected future income in Azerbaijan. The overshooting seems to end as RERi.2 – ERERi.2-Adj converges to zero. Fig. 6: Oil euphoria and the overshooting of RER when CEOR2 measures expectations of future income. 24 ficulties (as virtually no oil was found). As a result, consumption growth decreased, which removed the pressure from the prices of non-tradeable goods, meaning that RER depreciated to its long-term equilibrium level over the period 1999–2003, despite the actual oil income growth having started to pick up. Thus, the expectations of future income, though driven by oil euphoria, appear to have played an important role in the movements of RER, as it initially appreciated when the actual oil income level remained low but expectations of future income were high, and later depreciated when the actual income level started to increase but expectations of future income started to drop. We therefore do not see either the NBA’s loose monetary policy or its interventions in the foreign exchange market as playing any significant role in driving the RER. Had the NBA been successful, we would have seen the ERER in Figs. 5 and 6 responding to the strengthening economic fundamentals and increasing from 1999 onward. The downward direction of ERER since 1999 explains why the RER has likewise depreciated since then. In addition, the 1994–99 oil euphoria caused an appreciation of RER in excess of what we would have observed if the expectations of future incomes had been more realistic, i.e., if expectations had mimicked CEOR-Adj rather than CEOR (see for example Fig. 6). ERER-Adj is therefore the realistic RER, as it is associated with CEOR-Adj (a proxy for the actual future income in Azerbaijan, which only includes the estimated oil reserves from the successful PSAs). The difference between RER and ERER-Adj can be termed an overshooting of RER, which is in excess of what should have been the case had the expectations about future incomes been more realistic. We find that the ERER, ERER-Adj and RER all converge towards zero (see Figs. 5 and 6). Lastly, as per Fig. 6, the excessive appreciation over the period 1994–99 was reversed by the depreciation over the period 1999–2003; we therefore see the RER starting to appreciate again from 2004/05. 7. Discussion We expect the RER in Azerbaijan to begin to appreciate again in 2005/06, and an inspection of the actual RER data reveals that RER has indeed been appreciating since 2005. The importance of this point is that the depreciation of the RER in the period 1999–2003 helped Azerbaijan to achieve rapid growth in the non-oil tradable goods sector 25 in 2002–2003. The non-oil tradable sector grew at around 9.6% and 22.2% in 2002 and 2003, respectively. This contributed to the GDP growth rates of 10.6% and 11.2% in 2002 and 2003, respectively. We admit that this paper’s findings for Azerbaijan should perhaps be treated with a degree of caution, as we have only been able to collect a small data sample. However, we have also redone many of the analyses, as well as performing robustness checks which are not included here on other fundamentals, such as the interest rate differential vis-à-vis the US, oil prices, NBA intervention in the foreign exchange market, the money supply, the Russian crisis of 1999, etc. Of these additional results, none are significant and/or have the expected signs to be able to explain the depreciation of RER. We therefore believe that our model, with oil euphoria driven expectations of future income as the fundamental, is the best model for explaining this phenomenon in RER, as suggested by the model in equation (13). Similar phenomena appear to have occurred or to be occurring in other economies that see boom and doom, as is discussed below. Our finding of RER movements being caused by changing expectations of future income is not limited to Azerbaijan. It applies to any country in which exogenous factors (a discovery of oil reserves, an increased global demand for natural resources, a considerable rise in world commodity prices, etc.) can cause substantial swings in the RER through their effects on expectations of future income. Table 5: RER and the GFCF growth. Country Time period RER movements GFCF growth Australia 1980–1999 2000–2011 Depreciation Appreciation 3.56% 6.39% USA 1991–2000 2001–2010 Appreciation Depreciation 8.71% −0.68% UK 1977–1980 1981–1984 Appreciation Depreciation 16.54% 7.67% Table 5 shows the average growth rates of gross fixed capital formation (GFCF) and movements in the RER in Australia, the UK, and the USA in selected years. Since GFCF 26 depends on the expected future income, we use it as a proxy for expectations of future income. As the table indicates, the expectations of future income were relatively low and the RER depreciated in Australia in 1980–1999. An increased global demand for Australia’s natural resources led to an upward adjustment in the expectations of future income, and thus, to an appreciation of its RER in 2000–2010. Similarly, the discovery of huge oil reserves in the North Seas just prior to the first oil shock of 1973/74, along with higher oil prices, caused an increase in the expected future income and an appreciation of the RER in the UK in the late 1970s. A substantial fall in oil prices and a slowdown in the development of new oil fields led to a decline in the expected future income and contributed to the depreciation of the RER in the early 1980s. The run of bad luck which has plagued the US economy over the last decade or so relative to the decade of the 1990s has contributed to a continuously depreciating RER. This has consistently built on the low expected future income of the US, with a GFCF growth of only −0.68% over the last decade. On the other hand, the good luck of the 1990s21 caused the RER to appreciate, due to the high expected future income.22 As per the above analysis, high expected future income levels (as proxied by a high growth in GFCF) are associated with an appreciation of the RER, and low expectations of future income are associated with a depreciation of the RER. Alternatively, RER appreciates during boom times and depreciates during doom times. This is exactly what has happened or is happening in Australia, the UK, and the USA. 8. Conclusion We show that changes in exogenous factors (such as the discovery of substantial oil reserves, an increased global demand for natural resources, or a substantial increase in commodity prices) can cause—through their effects on expectations of future income— 21 Ahmed et al. (2004) report the stability in the US GDP growth over the period 1984Q1–2002Q1 as being ‘good luck’ for the US economy. 22 Wei et al. (2010) study the effect of the IMF bailouts on international institutional investments in crisishit economies, and find that IMF bailouts encourage international institutional investments. Alternatively, IMF bailouts help to raise investors’ confidence in countries hit by economic crises. We see a direct link between raising business confidence and changing expectations of the future income of crisis-hit countries due to bailouts, which can ultimately cause real exchange rate movements. 27 movements in the real exchange rate which are in excess of, or even in the direction opposite to, what one would expect, given the actual changes in current income. We provide both a theoretical model and empirical evidence to show that the real exchange rate appreciates during boom times and depreciates during doom times. In Azerbaijan, the oil euphoria and the herding behaviour demonstrated by oil companies (which signed numerous production sharing agreements with the government of Azerbaijan) caused an overestimation of the oil reserves, unrealistically high expectations of future income, and overshooting (that is, excessive appreciation) of the real exchange rate (that is, the current real exchange rate appreciated more than the equilibrium real exchange rate) in the first half of the sample period, even though the actual oil income remained small. In the second half of the sample period, more accurate estimates of Azerbaijan’s oil reserves were made, which showed that the actual reserves were much lower than the estimates in the first half of the sample period suggested. Accordingly, expectations of future income were revised downwards and the real exchange rate depreciated (towards its long-term equilibrium level), even though the actual oil income started to increase. In Australia in 1980–1999, the expectations of future income were relatively low, and the real exchange rate therefore depreciated. The subsequent increased global demand for natural resources led to an upward adjustment in the expectation of future income, and thus, appreciation of the RER in 2000–2010. Similarly, the discovery of huge oil reserves in the North Seas just prior to the first oil shock of 1973/74, along with higher oil prices, caused an increase in the expected future income and an appreciation of the RER in the UK in the late 1970s. The substantial decline experienced in the oil prices at the time and the discovery and development of new oil fields led to a decline in expectations of future income, and contributed to the depreciation of the RER in the UK in the early 1980s. The bad luck which has plagued the US economy over the last decade, relative to the decade of the 1990s, has contributed to a continuously depreciated RER. 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