Real exchange rate volatility and exchange rate regimes: Neutrality, complementarities and announcements. Jorge Carrera a , Guillermo Vuletin b a y Research Department, Central Bank of Argentina. b Department of Economics, Colby College. April 2009 Abstract In this paper we address three issues: The neutrality of exchange rate regimes (ERRs) to short-term real exchange rate (RER) volatility; the existence of strategic complementarities of di¤erent ERRs under di¤erent international monetary arrangements (IMAs); and, the strategic role ERR announcements may play under di¤erent IMAs. In answering these questions, we control for the incidence of nominal and real shocks, and construct a novel monthly data that includes market-determined multilateral RER for 62 countries over the period 1946-2007. We …nd that ERRs are not neutral; while the evidence is generally consistent with Mussa’s sticky prices argument, we …nd that for non-advanced countries in post Bretton Woods there exists a “U-shape nominal ‡exibility puzzle of RER”. Amongst non-advanced countries, there is strong evidence of strategic complementarities across IMAs that favor the selection of …xed ERRs when global economic institutions and international macroeconomic coordination support the selection of …xed regimes. ERR announcements play an important strategic role: Whereas Bretton Woods favored those countries whose behavior matched their announcements, the favored strategy for non-advanced countries in the post Bretton Woods era has been to announce ERRs substantially more ‡exible than their de facto behavior. JEL Classi…cation: C23, F31, F33, F41. Keywords: Real Exchange Rate, Volatility, Exchange Rate Regime. We would like to thank Ian Cum m ins and sem inar participants at the Argentinean Econom ic Association for helpful and constructive com m ents. We would also like to thank M ariano Sardi and Ling Zhu for excellent research assistant. Guillerm o Vuletin is grateful to the Central Bank of Argentina and Colby College Social Division Grant for …nancial supp ort. Any errors are ours. The views presented are solely those of the authors and should not b e attributed to the Central Bank of Argentina or its sta¤. y Corresp onding Author. Tel.: +1 207 859 5235. E-m ail: gvuletin@colby.edu (G. Vuletin). 1. Introduction The question of whether exchange rate regimes (ERRs) are neutral stands as perhaps one of the most contentious and relevant topics in international macroeconomics. There seems to be a consensus in recent research that ERRs are non-neutral across di¤erent real and monetary macroeconomic variables including economic growth (e.g., Levy-Yeyati and Sturzenegger (2003), Husain et al. (2005) and Aghion et al. (2006)), …scal performance (e.g., Aghevli et al. (1991), Tornell and Velasco (2000), Alberola (2005) and Vuletin (2008)), trade (e.g., Frankel and Rose (2002) and Klein and Shambaugh (2006)), interest rates (e.g., Levy-Yeyati and Sturzenegger (2001) and Shambaugh (2004)) and in‡ation (e.g., Ghosh et al. (2002) and Alfaro (2005)). However, when evaluating the impact of ERRs on short-term real exchange rate (RER) volatility, the evidence is mixed, with slightly more papers supporting the non-neutrality of ERRs. In his seminal work Mussa (1986) argues: For pairs of countries with similar and moderate in‡ation rates, it is shown that there are substantial and systematic di¤ erences in the behavior of real exchange rates under these two di¤ erent exchange rate regimes. Under a ‡oating exchange rate regime, real exchange rates typically show much greater short term variability than under a …xed exchange rate regime. The increased variability of real exchange rates under ‡oating exchange rate regimes is largely accounted for by the increased variability of nominal exchange rates, with little contribution from changes in the variability of ratios of national price levels or in the covariances between movements in nominal exchange rates and movements in the ratio of national price levels [...]. These substantial and systematic di¤ erences [...] are consistent with models that assume sluggishness of adjustment of national price levels. While many empirical papers support Mussa’s contention that higher RER volatility under ‡exible regimes is due to the relative sluggishness in price adjustment (e.g., Baxter and Stockman (1989), Gosh et al. (1997), Liang (1998), Kent and Naja (1998) and Carrera and Vuletin (2003)), others have argued that this heightened volatility derives from a greater incidence of real and nominal shocks under ‡exible regimes (e.g., Stockman (1983), Grilli and Kaminsky (1991), Clarida and Gali (1994), Rogers (1999)). Establishing the relative importance of these arguments is crucial as RER volatility has important implications for consumption, investment, economic growth and trade ‡ows (e.g., Frankel and Rose (1995 and 2002), Razin and Rubinstein (2004), Clark et al. (2004) and Broda and Romalis (2003)). Additionally, this question is particularly consequential given the widespread consensus that excessive RER volatility can impair international economic activity, thereby reducing national welfare. Interest in this topic cyclically reappears following regional or global …nancial crises in which pros and cons of di¤erent ERRs and international monetary arrangements (IMAs) are reevaluated. The 2008 …nancial crisis has brought the issues of ERR 2 selection, macroeconomic coordination and even the long-run viability of the broader …nancial system to the forefront of a global policy debate. For example, on September 26, 2008, French president and also current president of the European Union, Nicolas Sarkozy, said, “we must rethink the …nancial system from scratch, as at Bretton Woods.” In a similar vein, on March 23, 2009, the Governor of the People’s Bank of China, Zhou Xiaochuan, remarked the necessity of a new international reserve currency “that is disconnected from individual nations and is able to remain stable in the long run, thus removing the inherent de…ciencies caused by using credit-based national currencies.” He suggests the creation of a super-sovereign reserve currency not only eliminates the inherent risks of credit-based sovereign currency, but also makes it possible to manage global liquidity. In this paper we argue the mixed, at times contradictory, evidence regarding the impact of ERRs on short-term RER volatility is a consequence of three sets of limitations present in the literature to date. - RER measures The current literature has 3 limitations regarding the intra-annual (monthly or quarterly) measurement of RER. Most early papers (e.g., Mussa (1986), Grilli and Kaminsky (1991), Gosh et al.(1997), Hasan and Wallace (1996) and Liang (1998)) analyze the o¢ cial bilateral RER; recent papers (e.g., Kent and Naja (1998) and Carrera and Vuletin (2003)), however, have favored the o¢ cial multilateral RER. We agree with Kent and Naja (1998) and Carrera and Vuletin (2003) that from a macroeconomic perspective the analysis of multilateral RER is most relevant. As originally suggested by Black (1986) in his comments on Mussa (1986), “while it is true that bilateral PPP with all trading partners implies multilateral PPP, bilateral deviations from PPP do not necessarily imply multilateral deviations from PPP.” This is not to suggest that bilateral RER is not important for other areas of study, however, as in debt sustainability issues in highly dollarized economies, for example. Yet when considering the adjustment mechanism of RER under alternative ERRs and its welfare implications, it is appropriate to consider the relative price and exchange rate evolution not only with respect to one country, but for its main trade partners as well. As shown for Belgium in Figure 1 there is an important empirical di¤erence between the movements of o¢ cial bilateral (local currency per US dollar) and o¢ cial multilateral RERs. While most papers constructing bilateral RER use of the o¢ cial exchange rate, few papers (e.g., Bahamani-Oskooe (1993) and Luintel (2000)) use the parallel bilateral exchange rate to calculate short-term RER volatility.1 We agree with BahamaniOskooe (1993) and Luintel (2000) and in a similar vein with Koveos and Seifert (1985), Reinhart and Rogo¤ (2004) and Cashin and McDermott (2006) that the use of the parallel exchange rate is crucial as those exchange rates are perceived as a proxy of countries’market-determined exchange rates. As shown for Bolivia in Figure 1 Bahamani-Oskooe (1993) test PPP using Iranian parallel bilateral exchange rate, while Luintel (2000) use the parallel bilateral exchange rate to calculate short-term RER variability for eight Asian countries. 3 2 there is an important empirical di¤erence between the movements of o¢ cial and market-determined bilateral RERs (local currency per US dollar). Most empirical studies rely on bilateral RERs measures when doing historical analysis and those few that use multilateral RER primarily focus on the post Bretton Woods era as trade data has scarcely been available for the period preceding 1970. When trying to calculate multilateral RER for longer periods many papers (e.g., Aghion et al. (2006)) rely on time invariant trade weights for a countries’main trade partners. Given the important short-term and long-term changes in trade patterns (e.g., Argentina’s trade with the United Kingdom and Brazil represented around 20 and 5 percent of total trade in 1950s respectively, while around 2 and 25 percent in the 2000s) we believe that to accurately calculate multilateral RERs, annual trade partner information must be used. - Identi…cation of ERR This is perhaps, one of the most notorious weaknesses of papers in this literature. A majority of papers rely on comparisons of di¤erent IMAs to delineate …xed and ‡exible nominal ERRs. For example, Mussa (1986) and Liang (1998) use Bretton Woods and post Bretton Woods as a benchmark for …xed and ‡exible regimes; Grilli and Kaminsky (1991) and Hasan and Wallace (1996) expand their analysis backward to include the Gold Standard. A more recent group of papers (e.g., Kent and Naja (1998), Carrera and Vuletin (2003)) use national ERRs only for the post Bretton Woods era; Kent and Naja (1998) using the de jure IMF ERR classi…cation and Carrera and Vuletin (2003) using the de facto Levy-Yeyati and Sturzenegger (2005) ERR classi…cation. That is to say, most empirical papers wrongly identi…ed ERRs with IMAs and of those that truly use national ERRs, many of them use de jure announcements to identify ERRs as opposed to de facto behavior. As is clear from Mussa’s statement and macro models of sluggishness in price adjustment what matters is the de facto ERR. This identi…cation problem is key since around 40% of the time, countries did not have …xed ERRs in Bretton Woods and more than 60% had …xed or limited ‡exibility ERRs in post Bretton Woods. This, however, is not to imply that IMAs do not matter. As McKinnon (1996) makes clear, the IMA under which a government selects an ERR is crucial to understanding its rami…cations for an economy. It must be emphasized that the repercussions of any ERR decision will depend upon the “rules of the game” and the extent of macroeconomic coordination under a given IMA. Further, ERR announcements may play a strategic role depending on the context (IMA) in which they are made. As such, ERR announcements should play a role beyond that of Mussa’s sticky price argument. Future models need to be extended to include as key features the role of signaling and information asymmetries. - Incidence of nominal and real shocks While the degree of nominal exchange rate ‡exibility could certainly be a candidate in explaining short-run RER volatility; it may be that there is a higher incidence of real and nominal shocks under more ‡exible arrangements, which could give the misleading perception that ‡exible regimes induce higher volatility (e.g., Stockman (1983), Grilli and Kaminsky (1991), Clarida and Gali (1994), Rogers (1999)). 4 Grilli and Kaminsky argue that the di¤erence in short-term volatility of RER found by Mussa and others using Bretton Woods and post Bretton Woods to identify …xed and ‡exible ERRs is not attributable to the impact of ERRs, but rather to the higher in‡uence of real and nominal shocks under post Bretton Woods. Using the monthly bilateral RER between the U.S. dollar and the British pound for the period 1885-1986 they …nd that RER volatility varies across IMAs after, but not before World War II. Hence, they argue that RER behavior is likely to be dependent on the particular historical period rather than the exchange rate arrangement per se. Using IMAs to proxy for real and nominal shocks has two problems; it does not clearly identify real and nominal shocks at the year-country level and omits the fact that di¤erent IMAs might induce heterogenous performance for alternative RERs. For example, Grilli and Kaminsky rationalize lower short-term RER volatility under Bretton Woods as being a potential signal that real and nominal shocks are more frequent and intense under post Bretton Woods. This, however, overlooks the possibility that an international coordination arrangement like Bretton Woods in shaping the rules for balance of payments and exchange rate adjustments may generate strategic complementarities across countries with …xed ERRs, which, in equilibrium, could generate lower RER volatility. Other papers like Hasan and Wallace (1996) and Lothian (1990) include inter-war dummies …nding that they are insigni…cant. Hasan and Wallace calculate the longterm volatility of the unpredictable annual component of RERs by using the error component of an equation of RER on lags of RER. This seems a reasonable way to get around the problem in case of being unable to identify the underlying “primitive” nominal and real shocks as long as their impact have persistent e¤ects on the RER. In this paper we aim to clarify the aforementioned limitations. We tackle the issue of RER measurement limitations by constructing a novel dataset of monthly RER for 63 countries (21 advanced and 42 non-advanced countries) for the period 1946-2007. Our RER dataset includes monthly price index, o¢ cial and parallel exchange rates, and yearly trade partners data, which enables us to calculate o¢ cial and marketdetermined rates for both bilateral and multilateral RERs. Our highly balanced RER data covers around 95% of maximum potential observations for bilateral RER measures and around 90% of multilateral ones. By itself, this new data is an important contribution of this paper. We identify national ERRs using Reinhart and Rogo¤ (2004) de facto ERR classi…cation and IMAs using fours periods, 1946-1950 for early Bretton Woods (EBW), 1951-1972 for Bretton Woods (BW), 1973-2000 post Bretton Woods (PBW) and 2001-2007 Bretton Woods II (BW2). We also use the timing in which countries joined Bretton Woods during the period 1946-1972 and countries’ERRs announcements to the IMF during the period 1973-2007 to identify ERRs announcements. We control for the incidence of real and nominal shocks by calculating the RER volatility of the error component of an equation of monthly RER growth rate2 on its monthly lags -in a similar vein to Hasan and Wallace (1996)- and a set of variables 2 Using growth rates to control for trending behavior in RER is an standard procedure to control for the Balassa-Samuelson e¤ect. 5 intended to capture monthly real and nominal shocks. For that purpose we create a monthly dataset, which includes a proxy for terms of trade, in‡ation and currency crises for the period 1946-2007. To allow maximum ‡exibility and reduce aggregation bias we run those regressions for each country separately; in doing so we allow the elasticity of those shocks to be country-speci…c thus capturing the possibility that countries respond di¤erently depending on several unobserved institutional and economic characteristics. Taking into account these elements we revisit the initial question enquired by the literature: Are ERRs neutral to the short-term volatility of RERs? We also analyze whether or not there exists strategic complementarities for alternative ERRs under di¤erent IMAs. Finally, we assess the strategic role played by ERR announcements. In this sense, our paper elucidate an old question in the literature at the same time that analyze two new elements not analyzed before. We can summarize our main …ndings as follows: There are strong di¤erences between alternative RER measures. In particular, the correlation between monthly changes of o¢ cial bilateral and o¢ cial multilateral RERs is 0.4 on average and the correlation between monthly changes of o¢ cial bilateral and market-determined bilateral RERs is 0.35 on average. Such di¤erences emphasize the importance of using appropriate RER measures. Although real and nominal shocks explain between 22% and 50% of monthly RER movements, we …nd evidence of a “short-run RER volatility puzzle”. Having controlled for the incidence of real and nominal shocks, non-advanced country’s RER volatility remains between 25% and 150% greater than that of the advanced economies. The key literature …nding that short-term RER volatility is higher in BW than in PBW for industrialized countries (Mussa (1986), Liang (1998), Grilli and Kaminsky (1991) and Hasan and Wallace (1996)) vanishes when using market-determined multilateral RER instead of o¢ cial bilateral RER; supporting our concern regarding the importance of RER measuring. We …nd strong support for Mussa’s argument for advanced economies and for non-advanced economies only for the BW era. We do, however, …nd evidence of a “U-shape RER nominal ‡exibility puzzle”for non-advanced countries in PBW; …xed and ‡exible regimes have similar RER volatility while limited ‡exibility regimes are associated with the lowest RER volatility. We …nd that EBW was a period of particularly high exchange rate turbulence, especially for advanced countries (e.g., Grilli and Kaminsky (1991), Mussa (1986)), in the same way BW2 was a period of notoriously low exchange rate international turbulence across the board for both advanced and non-advanced countries. However, in both EBW and BW2 there was no particular role for strategic complementarities for any ERR, indicating that it is incorrect to label those periods as true IMAs that delineate the rules of the game regarding balance of payments imbalances and exchange rates adjustment. As remarked by Watchel (2007), one of the most importance di¤erences between BW and BW2 is that, while BW was an institutional structure -with the IMF at its head- that governed the international …nancial relationships among countries, BW2 lacks such key institutional characteristic. 6 We …nd strong strategic complementarities disfavoring the selection of ‡exible regimes under BW relative to selecting them under PBW for non-advanced countries. Speci…cally, we …nd that ‡exible regimes have almost 10 times higher RER volatility in BW than in PBW. The latter result, indicates that it is relatively more costly in terms of RER volatility to have ‡exible regimes when institutions and macroeconomic coordination support the selection of …xed regimes. In other words there appears to be strategic complementarities to adopting …xed ERRs under IMAs where most countries institutionally commit to adopt …xed ERRs. BW rewarded those countries whose ERR announcements were consistent with their behavior with lower RER volatility. While ERR announcements played no strategic role for advanced economies under PBW, this was not the case for nonadvanced economies. Amongst the non-advanced economies a dominant strategy favoring the announcement of ERRs more ‡exible than de facto behavior has become the norm. Hence, in an IMA that is not fully institutionalized there are asymmetric gains from ERR announcements: countries …nd that it is less costly to behave in a more …xed manner than announced. The “fear of ‡oating” phenomenon, then, emerges as an optimal response to a global system lacking the institutional capacity necessary to promote substantive macroeconomic coordination and stability. This …nding is consistent with arguments made by Carrera and Vuletin (2003) and Genberg and Swoboda (2004), who suggest that countries may rationally use strategic ERR announcements in order to discourage speculative attacks.3 Our results suggest that the adoption of a fully institutionalized IMA along the lines of BW will reduce countries’ incentives to use ERR announcements strategically by favoring countries whose behavior matches their announcements. The rest of the paper is structured as follows. In section 2 we present a summary of previous empirical studies, section 3 describes the data, section 4 presents the econometric strategy, section 5 discusses the results; in section 6 we make some …nal remarks. 2. Previous Empirical Studies When BW was abandoned in early 1970s, a reduction of short-term volatility in nominal and real exchange rates was expected as smoothly adjusting nominal exchange rates were supposed to replace the purported occasional, but actually quite frequent large and disruptive exchange rate movements of BW. The actual high RER volatility observed in PBW motivated numerous researchers to study how di¤erent ERRs in‡uence short-term RER volatility (e.g. Dornbush (1980) and Stockman (1983)). Empirical studies in this area can be classi…ed into two groups. A …rst group relies on comparisons of di¤erent IMAs in order to delineate …xed and ‡exible nominal ERRs. For example, Mussa (1986) and Liang (1998) use the BW and PBW as a benchmark for …xed and ‡exible arrangements and Grilli and Kaminsky (1991) and Hasan and Wallace (1996) expand their analysis backwards to include the Gold 3 It is worth noting that the incidence of currency crises for non-advanced economies is two and a half times greater in PBW than in BW. 7 Standard. A more recent group of papers (e.g. Kent and Naja (1998), Carrera and Vuletin (2003)) analyze the impact of di¤erent ERRs only for the PBW era. Mussa assesses the bilateral RER volatility of thirteen industrial countries for the period 1957-1984 using quarterly data. He …nds evidence to con…rm that RER volatility was signi…cantly higher in PBW (eight to eighty times) than in BW. Grilli and Kaminsky use the bilateral RER between the U.S. dollar and the British pound for the period 1885-1986 using monthly data. They …nd that RER volatility varies across exchange rate systems after, but not before, World War II. They posit, then, that RER behavior is most likely dependent on the particular historical period rather than the exchange rate arrangement per se. Hasan and Wallace use the bilateral RER volatility of four countries (UK, Canada, Japan and France) over the period 1870-1986 using yearly data. Unlike Grilli and Kaminsky, they …nd higher volatility to be associated with more ‡exible exchange rates. Liang uses the bilateral RER volatility of two countries (UK and France) over the period 1870-1997 and of seven countries (Belgium, Denmark, France, Germany, Ireland, Italy, Netherlands) over the period 1957-1997. He observes that ‡exible exchange rate periods (World War I and …rst interwar: 1914-1926, second interwar: 1932-1938, post Bretton Woods: 1972-1997) are associated with a higher RER volatility than …xed exchange periods (Gold Standard: 1880-1913, Gold Exchange Standard: 1927-1931, Bretton Woods: 1946-1971). Kent and Naja use the multilateral RER volatility of 90 countries over the period 1978-1994 using monthly data. Relying on the de jure IMF ERR classi…cation they …nd that when observations are pooled across countries ‡exible ERRs have twice the RER volatility as …xed ERRs. This …nding, however, disappears when doing a within country analysis. Carrera and Vuletin use the multilateral RER for 93 countries for the period 19801999 using monthly data. Using the de jure IMF and the de facto Levy-Yeyati and Sturzenegger (2005) ERR classi…cations they …nd that countries for which its announcement and actual behavior coincides (i.e., are consistent and do not face credibility problems) have the lowest volatility of RER compared with other non-consistent ERRs. Carrera and Vuletin also …nd that non-OECD countries have …ve times the short-run RER volatility than OECD countries. This is also the case in the long-run; Hausmann et al. (2006) …nd that the long-run volatility of developing-country RER is about three times that of industrialized economies even after controlling for both nominal and real shocks. Not surprisingly, they named this fact as the “long-run volatility puzzle of real exchange rate”. 3. Data We construct a novel dataset of monthly RER for 63 countries (21 advanced and 42 non-advanced countries) for the period 1946-2007.4 We include countries that have 4 See Appendix for list of countries. 8 at least 10 years of monthly RER data in both BW and PBW, and monthly exchange rate and price index information for at least 10 months per year. 3.1. Real Exchange Rate Measures We construct a monthly dataset of o¢ cial and market-determined rates for both bilateral (local currency per US dollar)5 and multilateral RERs (i.e., o¢ cial bilateral, o¢ cial multilateral, market-determined bilateral and market-determined multilateral). We employ o¢ cial and black/parallel exchange rate data as well as a monthly price index collected from Global Financial Data.6 We obtain yearly trade data for main trade partners from several sources: Mitchell (2008a, 2008b and 2008c) from 1946-1961; Feenstra et al. (2004) from 1962-1979 and from IMF, Direction of Trade Statistics for the period 1980-2007.7 Our RER data is highly balanced covering 95% of the maximum potential observations for bilateral RER measures and 90% of the maximum for multilateral RER measures. As noted in Figure 1, there is an important empirical di¤erence between monthly bilateral and multilateral RER movements. Figure 3 shows that the correlation between o¢ cial bilateral and o¢ cial multilateral RERs range from 0.005 for Italy to 0.96 for Bolivia, while the cross-country average correlation is just 0.4. This di¤erence emphasizes the importance of using multilateral RERs as opposed to bilateral ones. As noted in the introduction, most empirical studies in the literature rely on bilateral RER measures when doing historical analysis across IMAs. Those studies that do use multilateral RER data tend to focus on PBW due to the limited availability of trade partners data before the 1970s. In trying to calculate multilateral RER for longer periods many papers (e.g., Aghion et al. (2006)) rely on time invariant trade weights for main trade partners. Figure 4 shows the correlations between monthly movements of o¢ cial multilateral RERs using yearly trade weights and 2000’s trade weights. Correlations range from -0.68 for Chile to 0.91 for Switzerland, while the cross-country average is just 0.18. This notable di¤erence highlights the importance of collecting annual main trade partners data, particularly when conducting historical analysis. To construct market-determined exchange rates we use the black/parallel exchange rates when available (73% of the observations). For the missing information we use o¢ cial exchange rates if the immediately posterior or anterior exchange rate premium is lower than 2% and there are no de jure capital or exchange rate controls as measured by both the IMF’s Annual Report on Exchange Arrangements and Exchange Rate Restrictions and Reinhart and Rogo¤ (2004) chronologies (26% of the observations). As shown with Figure 2, there is an important empirical di¤erence between the monthly bilateral movements in the o¢ cial and market-determined RERs. Figure 5 shows the correlations of o¢ cial bilateral and market-determined 5 For the United States we use the US dollars per Deutschmark until December 1998 and US dollars per Euro since January 1999. 6 Wholesale price index was used when available, otherwise consumer price index. 7 See Appendix for a matrix of trade partners. 9 bilateral RERs range from -0.38 for Bolivia to 1 for Gabon and Senegal, while the cross-country average correlation is only 0.35. This large di¤erence emphasizes the importance of using market-determined rather than o¢ cial real exchange rate data. Another way of analyzing the relevance of these alternative measures is by comparing their evolution across time. Figure 6 shows the cross-country average ten year window correlation between o¢ cial bilateral and o¢ cial multilateral RERs (solid line) and o¢ cial bilateral and market-determined bilateral RERs (dashed line). The correlation between o¢ cial bilateral and o¢ cial multilateral RERs has remained relatively stable at a low 0.37 (variation coe¢ cient of 0.11). The evolution of o¢ cial and market bilateral RERs, however, is far more volatile (variation coe¢ cient of 0.27). Variation reaches historical lows in the mid ’50s, late ’80s and early ’90s as a result of severe capital and exchange controls following World War II, and severe debt and currency crises in the ’80s. While such correlation reaches a peak of 0.58 in mid ’70s, it has increased tremendously since the mid ’90s. These …ndings are consistent with a vast line of research that analyzes the evolution of capital market integration (e.g., Kaminsky and Schmukler (2008)). Figure 7 shows the correlation between o¢ cial bilateral and multilateral RERs dividing the sample across advanced and non-advanced countries; it shows a similar stable evolution. Repeating this exercise for o¢ cial and market bilateral RERs (see Figure 8), we see that there are signi…cant di¤erences across advanced and non-advanced countries. While non-advanced economies show lower correlations after 1961 (particularly from 1965-1996), advanced economies exhibit even lower correlations before 1961, and similar, increasing levels of integration from 1996 on. Figure 9 con…rms the argument made in previous studies (Carrera and Vuletin (2003); Hausmann et al. (2006)) that the volatility of RERs is higher in non-advanced economies than advanced ones. Figure 9 presents preliminary evidence that this is true for market multilateral RERs. Table 1 mean tests con…rm that depending on the RER measure used, short-term RER volatility is between 27.5% and 142.9% greater for non-advanced economies than advanced ones. 3.2. Exchange Rate Regime Classi…cations and International Monetary Arrangements We use Reinhart and Rogo¤’s (2004) de facto classi…cation to identify the behavior of nominal exchange rates and distinguish between de facto …xed (RR Fixed), limited ‡exibility (RR Lim Flex) and ‡exible (RR Flex).8 It is important to make note of the criterion used by Reinhart and Rogo¤ in de…ning a regime as “free falling”. They classify an event as “free falling” (RR Free Falling) when i) the twelvemonth in‡ation rate is greater than or equal to 40% per year or ii) if a country has transitioned from a …xed or quasi-…xed regime to a managed or independent ‡oat 8 ERRs are associated with Reinhart-Rogo¤ (RR) coarse categories 1 (no separate legal tender, currency board, peg or horizontal band that is narrower than or equal to +/-2%), 2 (crawling peg or crawling band that is narrower than or equal to +/-2%), and 3 and 4 (crawling band that is wider than or equal to +/-2%, managed ‡oating or freely ‡oating) respectively. 10 within the last six months through a currency crisis. Table 2 shows that in terms of “free falling” events, EBW was to advanced economies what PBW was to nonadvanced economies. Further, “free falling” events were signi…cantly less important in both BW and BW2. Table 3 shows results when not taking “free falling” events into account: In EBW most non-advanced economies had …xed regimes (78.9%) while most advanced economies had ‡exible regimes (55.2%); in BW, a majority of countries have …xed ERRs, though a non-trivial minority (34.7%) did not; in PBW countries are split more evenly across …xed, limited ‡exibility and ‡exible regimes; in BW2 most advanced countries have either …xed or ‡exible regimes, while non-advanced countries gravitate toward limited ‡exibility or ‡exible arrangements. We distinguish four IMAs to capture di¤erent institutional structures, international …nancial architectures and international coordination arrangements that frame the rules of balance of payments imbalances and exchange rate adjustments. In identifying IMAs we conform to the generally accepted methodology of the literature (e.g., Grilli and Kaminsky (1991) and Dooley, et al. (2003)) and identify i) Early Bretton Woods from 1946-19509 , ii) Bretton Woods from 1951-1972, iii) post Bretton Woods from 1973-2000 and iv) Bretton Woods II from 2001-2007.10 We also use the date in which a country joined the IMF over the period 19461972 as a proxy for timing in joining BW (join_bw) and the announcement that countries make to the IMF for the period 1973-2007 to identify ERRs announcements (IMF Fixed, IMF Lim Flex and IMF Flex).11 Figure 10 shows that while almost 40% of advanced and non-advanced countries had already join the IMF by 1946, advanced economy’s membership growth rate was faster than that of the nonadvanced countries. Table 4 shows that around half of the time, both advanced and non-advanced countries announce to pursue ‡exible ERRs; the other half is equally splitted between …xed and limited ‡exibility for advanced countries, while mostly …xed for non-advanced countries. Table 5 shows the percentage distribution of ERR announcements and ReinhartRogo¤ ERRs across groups of countries for periods 1946-1972 and 1973-2007. For the 9 Even though most advanced nations rati…ed Bretton Woods in 1945, it was not until the end of the decade when it became relatively fully operational. 1 0 The term Bretton Woods II has been coined since Dooley, et al. (2003). They argue that i) the system of currency relations which evolved after 2001, in which currencies, particularly the Chinese renminbi (yuan), remained …xed to the U.S. dollar and ii) the fact that “mainly in Asia, [which] chose the same periphery strategy as immediate post-war Europe and Japan, undervaluing the exchange rate, managing sizable foreign exchange interventions, imposing controls, accumulating reserves, and encouraging export-led growth by sending goods to the competitive center countries” resembles the Bretton Woods system. With much sustained controversy (e.g., Eichangreen (2004), Roubini (2006) and Wachtel (2007)) this informal term seem to have superseded in the wake of the global …nancial crisis of 2008. 1 1 For the period 1973-1996 this announcements coincide with the de jure IMF ERR classi…cation. However, since 1997 the IMF ERR classi…cation has intended to be more de facto oriented. While each country desk still receives central banks’ERR announcements the regime reported in the IMF classi…cation is adjusted when considered necesary. Our IMF data includes those ERRs reported by countries as opposed to the ones …naly assigned by the IMF. 11 period 1946-1972, both advanced and non-advanced countries joined BW. Yet, about 40% of those that joined did not actually have …xed ERRs. Though most countries with nominal …xed ERRs joined the IMF, many others, particularly non-advanced countries, did not. Over the period 1973-2007, announcements match actual behavior around 45% of the time for both advanced and non-advanced economies. Roughly 20% of the time countries announce nominal ‡exibility lower than actual behavior and 30% of the time they announce a more ‡exible ERR than their behavior re‡ects. 3.3. Nominal and Real Shocks We create a novel monthly dataset which includes a terms of trade shock proxy, as well as in‡ation and currency crises for the period 1946-2007. We calculate a proxy for terms of trade shocks by using the monthly growth rate of the ratio of a country’s main commodity export prices over main commodity import prices.12 Using this strategy we identify exported commodities for 42 non-advanced economies including cattle, coconut oil, co¤ee, copper, gold, jute, oil, orange, peanut, rice, rubber, soybean, steel, sugar and wheat. Oil serves as the main import commodity for 31 non-advanced countries and 22 advanced ones.13 This approach captures the impact of oil price shocks for both oil net exporters and net importers; as well as the relevance of certain export commodities for non-advanced economies.14 We employ monthly commodity price data from Global Financial Data. We calculate four measures of currency crisis using o¢ cial bilateral, o¢ cial multilateral, market-determined bilateral and marketdetermined multilateral nominal exchange rates. Currency crises are dummy variables which equal one if the monthly nominal devaluation is bigger than 25%. 4. Econometric Strategy and the Incidence of Real and Nominal Shocks Our principal aims are to analyze the in‡uence of nominal ERR ‡exibility on shortterm RER volatility, assess the extent to which strategic complementarities exist for di¤erent ERRs across di¤erent IMAs, and whether or not there is a strategic role for ERR announcements. As discussed earlier, we need to control for the incidence of real and nominal shocks. To do so we proceed in three stages. We …rst run country regressions of monthly RER growth rate15 on its monthly lags -in a similar vein to Hasan and Wallace (1996)- and a set of variables intended to capture monthly real and nominal shocks. Next, we use the residuals of those monthly frequency regressions to calculate intra-year residual RER volatility. Finally, we use such intra-year residual RER volatility to run panel data country-…xed e¤ects annual regressions against de 1 2 When we are not able to identify a main commodity for a country, we replace such missing information with number one. 1 3 See Appendix for a list of export commodities used for each country. 1 4 It is worth noting that the Spearman’s rank correlation coe¢ cient between annual terms of trade shock from World Development Indicators and our terms of trade shock proxy is 0.27. Such test rejects the null hypothesis that these variables are independent at 1% signi…cance. 1 5 Using growth rates to control for trending behavior in RER is a standard procedure to control for the Balassa-Samuelson e¤ect. 12 facto ERRs, IMAs, ERRs announcements and their interactions. The rest of this subsection details these three stages, calculating the incidence of real and nominal shocks on monthly movement of RERs and commenting on the new “short-run RER volatility puzzle”. In the …rst stage we run various subsets of the following regressions: M reri;t = + 11 P j=0 i inf i + 11 P j=1 rer i M infi;t j M reri;t + 11 P j=0 j + 11 P j=0 tot i M toti;t crisis crisisi;t j i j+ (1) + "i;t i = 1; :::; N where i refers to country, t refers to year-month time16 , M rer is the monthly RER growth rate, M tot and M inf are the monthly terms of trade and in‡ation growth rates and crisis is a monthly dummy variable for currency crises. It is important to notice that we allow shocks to a¤ect RER movements for a year and run equation (1) for each country separately.17 The latter lends more ‡exibility to our speci…cation, it allows for similar shocks to a¤ect countries di¤erently depending on institutional and economic characteristics, thereby reducing aggregation bias. Table 6 summarizes the results obtained for 63 country regressions. Columns 1-4 present o¢ cial bilateral RER, column 5 use o¢ cial multilateral RER, and columns 6 and 7 present marketdetermined bilateral and multilateral RERs. In Column 1 we control by terms of trade shocks (grTOT) to account for real shocks. We …nd mixed evidence regarding the impact on o¢ cial bilateral RER. Most importantly, the average R2 is quite low (R2 = 0:023) suggesting that terms of trade shocks can explain only a very small fraction of the variance in RER. In column 2 we add a control for in‡ation shocks (grINF) to account for nominal shocks. We …nd that on average only 10.8% of regressions have coe¢ cients that are statistically di¤erent from zero. However, in‡ation shocks decrease RER on impact and tends to be reversed later. The latter result is consistent with PPP not holding in the short-run but in the long run. When including in‡ation shocks the mean R2 increases only to 0:052. In column 3 we add RER monthly lags (grRER) -in a similar vein to Hasan and Wallace (1996)- and …nd that past increases in RER increase RER in the short-run but that (similar to nominal shocks) their e¤ects tend to be reverted later. When including RER lags the average R2 increases to 0:101. In Column 4 we include currency crisis (crisis) and …nd that much like in‡ation shocks and RER lags, currency crises de…nitively increases RER in the short-run (as this variable is partially based on the dependent variable) but reduces it in the long-run. When including crisis the mean R2 jumps to 0:497 indicating that on average 40% of o¢ cial bilateral RER movement can be explained by drastic movements in the nominal bilateral exchange rate. Columns 5, 6 and 7 report similar country based regressions for o¢ cial multilateral, market-determined bilateral and market-determined multilateral RER, respectively. We obtain similar results (what column 4 is), though the average R2 obtained 1 6 For example, t = 1 for year 1946, month 1; t = 2 for year 1946, month 2; and lastly t = 744 for year 2007, month 12. 1 7 Results are not signi…catively a¤ected if more lags are included. 13 for the full regressions are lower - around 0:21 0:29. These …ndings are consistent with Hausmann et al. (2006) who …nd that terms of trade, in‡ation and currency crises contribute, respectively, 3%, 4% and 20% to long-run variance in multilateral RER. After running regression (1) for each country, we recover the error term "i;t and compute the intra-year residual RER volatility as v u 12 u1 X 2 " t (2) = ("i;y;m "i;y;m ) i;y 12 m=1 where i refers to country, y refers to year, m refers to month, and "i;y;m = P12 m=1 "i;y;m =12. Table 7 mean tests con…rm that depending on the RER measure used, short-term conditional RER volatility is between 24.9% and 151.3% greater for non-advanced economies than advanced ones. That is to say, despite …nding that real and nominal shocks explain between one …fth and one half of monthly RER movement, the unexplained RER volatility of non-advanced countries still remains greater than for advanced economies. This result is the short-run counterpart version of Hausmann et al. (2006) “long-run volatility puzzle of real exchange rate”. In absence of a better name, we call this new puzzle the “short-run RER volatility puzzle”. Finally, we use the intra-year residual RER volatility calculated before and run annual panel data country-…xed e¤ects regressions against de facto ERRs, IMAs, ERR announcements and their interactions. Considering both the “short-run RER volatility puzzle” and the rich, long-run historical data collected, we rely more on results obtained from exploiting within country variation than on results obtained using between-country variation. Hence, we use a panel data country-…xed e¤ects speci…cation removing observations classi…ed by Reinhart and Rogo¤ as “free falling”. Our reasoning for removing these observations is as follows: i) In line with Mussa’s statement we only want to analyze the role of ERRs under relatively “moderate in‡ation rates”. Precisely, one of the criteria Reinhart and Rogo¤ use is the annual in‡ation higher than 40% threshold. ii) Although our identi…cation strategy involves ERR switching when using panel data with country-…xed e¤ects, it is not clear whether RER movements correspond to the new or old regime given turbulent regime switches. In this sense, the second criteria Reinhart and Rogo¤ use to classify an event as “free falling” includes observations after the …rst six months following an exchange rate crisis, though only for those cases in which the crisis marked a transition from a …xed or quasi-…xed to a managed or independent ‡oat regime. 5. Empirical Results Considering the “short-run RER volatility puzzle” and the fact that ERR behavior and announcement vary signi…catively across advanced and non-advanced countries, 14 we report three sets of regressions including all, advanced and non-advanced countries. As discussed in the introduction we consider the market-determined multilateral RER to be the most comprehensive and appropriate measure of RER. To allow for easier comparison of our results to that of the literature we also show the results for o¢ cial bilateral, o¢ cial multilateral and market-determined bilateral RERs. Regression tables also include a battery of tests regarding the equality of coe¢ cients (when analyzing them we use the conventional 5% of con…dence level). The …rst three analyses evaluate the role of IMAs, nominal exchange rate ‡exibility and ERR announcements one at a time, while the last two analyses perform a more thorough assessment by interacting these variables. We interact IMAs and de facto ERRs, which is key for capturing potential strategic complementarities, as well as ERR announcements and de facto ERRs, which is central in analyzing the possible strategic e¤ect of ERR announcements. 5.1. International Monetary Arrangements Table 8 shows the relationship between IMAs and short-term conditional RER volatility. Our results match the key literature …nding that PBW has higher bilateral RER volatility than BW in industrialized economies (col. 5). This important feature vanishes, however, when the market-determined multilateral RER is used instead (col. 8), supporting our concern regarding the importance of RER measuring. Similar to Grilli and Kaminsky (1991), EBW exhibits higher RER volatility than BW for advanced countries (col. 8). Non-advanced countries have similar RER volatility across IMAs, with the exception of BW2 (col.12). RER volatility is the lowest in BW2, both for advanced and non-advanced economies (col. 8 and 12). 5.2. De Facto Exchange Rate Regimes Table 9 shows the relationship between nominal exchange rate ‡exibility and shortterm conditional RER volatility. The in‡uence of ERRs signi…catively vary between advanced and non-advanced countries. The results for advanced countries supports Mussa’s argument that RER volatility increases with nominal ‡exibility (col.8). However, non-advanced countries show a U-shaped pattern where …xed and ‡exible regimes have similar RER volatility and limited ‡exibility regimes are associated with the lowest RER volatility (col. 12). The latter result is a new puzzle which favors the selection of limited ‡exibility ERRs against both …xed and ‡exible ERRs. We call this puzzle the “U-shape nominal ‡exibility puzzle of RER”. 5.3. Exchange Rate Regime Announcements Table 10 shows the relationship between ERR announcements and short-term conditional RER volatility for periods 1946-1972 and 1973-2007. The in‡uence of announcements varies signi…cantly between advanced and non-advanced countries. While RER volatility does not vary across ERR announcements for advanced countries (col. 8), announcements do matter for non-advanced economies. Fixed ERR announce- 15 ments are associated with lower RER volatility for the period 1946-1972 and higher volatility for the period 1973-2007 (col. 12). 5.4. International Monetary Arrangements and De Facto Exchange Rate Regimes. The Role of Strategic Complementarities. Table 11 shows the relationship between nominal exchange rate ‡exibility and IMAs on short-term conditional RER volatility. This rich econometric speci…cation allows us to disentangle the e¤ect of IMAs from de facto ERRs and, at the same time, uncover potential strategic complementarities of alternative ERRs under di¤erent IMAs. Considering the results from columns 8 and 12 we …nd: Within EBW, alternative de facto ERRs provide similar RER volatility for both advanced and non-advanced countries.18 Alternative ERRs have higher RER volatility in EBW than in BW for advanced countries but they are similar for non-advanced ones.19 These results con…rm that EBW was, as posited by Grilli and Kaminsky (1991), a period of especially high exchange rate turbulence, particularly for advanced countries. Interestingly there seem not to be any strategic complementarities favoring a de facto ERR in EBW. For advanced economies, RER volatility increases with nominal ‡exibility within BW and PBW. RER volatility, though, is similar for alternative ERRs across BW and PBW.20 This result is consistent with Mussa’s argument on the role of nominal ‡exibility and gives no strategic role for di¤erent ERRs under alternative IMAs. For non-advanced economies, RER volatility increases with nominal ‡exibility within BW. It is important to note that the “U-shape nominal ‡exibility puzzle of RER” described in section 5.2, is found to be a PBW phenomenon.21 Much like our …ndings for advanced countries, RER volatility is similar for …xed and limited ‡exibility across BW and PBW. Flexible regimes, however, are found to have almost 10 times greater RER volatility in BW than in PBW.22 The latter result, indicates that it is relatively more costly in terms of RER volatility to have ‡exible regimes when global economic institutions and the state of international macroeconomic coordination support the selection of …xed regimes. In other words, there appears to be a 1 8 We cannot reject that RR Fixed*ebw=RR Lim Flex*ebw, RR Fixed*ebw=RR Flex*ebw and RR Lim Flex*ebw=RR Flex*ebw for advanced countries (col. 8) and that RR Fixed*ebw = RR Flex*ebw for non-advanced economies (col. 12) at 5% of signi…cance. 1 9 We cannot reject that RR Fixed*ebw>RR Fixed*bw and RR Flex*ebw>RR Flex*bw for advanced countries (col. 8) and that RR Fixed*ebw=RR Fixed*bw and RR Flex*ebw= RR Flex*bw for non-advanced economies (col. 12) at 5% of signi…cance. 2 0 We cannot reject that RR Flex*bw>RR Fixed*bw and RR Flex*pbw>RR Fixed*pbw for advanced countries (col. 8) and that RR Fixed*bw=RR Fixed*pbw, RR Lim Flex*bw=RR Lim Flex*pbw and RR Flex*bw=RR Flex*pbw for non-advanced economies (col. 12) at 5% of signi…cance. 2 1 We cannot reject that RR Flex*bw>RR Fixed*bw, RR Flex*bw>RR Lim Flex*bw and RR Fixed*bw=RR Lim Flex*bw for non-advanced economies (col. 12) at 5% of signi…cance. 2 2 We cannot reject that RR Fixed*bw= RR Fixed*pbw, RR Lim Flex*bw= RR Lim Flex*pbw and RR Flex*bw>RR Flex*pbw for non-advanced economies (col. 12) at 5% of signi…cance. 16 strategic complementarity for adopting …xed ERRs under IMAs where most countries institutionally commit to adopt …xed ERRs. Within BW2, alternative de facto ERRs provide similar RER volatility for nonadvanced countries.23 RER volatility is also similar for the main ERRs categories for advanced economies (…xed and ‡exible ERRs comprise more than 99% of observations).24 Meanwhile, …xed and ‡exible regimes have lower RER volatility in BW2 than in PBW for both advanced and non-advanced countries. This is especially the case for ‡exible regimes.25 These results support the idea of BW2 was a period of particularly low exchange rate turbulence for both advanced and non-advanced countries. Interestingly, there seem not to be any type of strategic complementary favoring a particular de facto ERR. This …nding coincides with arguments made by critics of Dooley et al. (2003) that argue BW2 cannot be accurately labeled as an IMA. Rather, BW2, they argue, amounts to a period of notoriously low international turbulence. 5.5. De Facto Exchange Rate Regimes and Exchange Rate Regime Announcements. The Strategic Use of Announcements. Table 12 shows the relationship between ERR announcements and de facto ERRs on short-term conditional RER volatility for both periods 1946-1972 and 1973-2007. This rich speci…cation allows us to disentangle the e¤ect of ERR announcements from de facto ERRs under alternative IMAs. Considering the results from columns 8 and 12 we …nd: For the period 1946-1972, Mussa’s argument holds for advanced countries (independent of their joining BW), and for non-advanced countries conditional on their joining BW.26 For the same period we also …nd that announcements matter. We …nd that the best strategy for lowering RER volatility is to be consistent, that is to say, to behave as announced.27 On this issue, advanced and non-advanced countries face the same incentive structure; consistency between announcement and de facto behavior is rewarded with lower RER volatility. For the period 1973-2007 the evidence di¤ers substantially from the period 19461972. For advanced countries, Mussa’s argument holds for consistent cases, where 2 3 We cannot reject that RR Fixed*bw2=RR Lim Flex*bw2, RR Fixed*bw2=RR Flex*bw2 and RR Lim Flex*bw2=RR Flex*bw2 for non-advanced economies (col. 12) at 5% of signi…cance. 2 4 We cannot reject that RR Fixed*bw2=RR Flex*bw2 for advanced countries (col. 8) at 5% of signi…cance. 2 5 We cannot reject that RR Fixed*pbw>RR Fixed*bw2 for advanced (col. 8) and non-advanced economies (col. 12) at 10% of signi…cance. We cannot reject that RR Flex*pbw> RR Flex*bw2 for advanced (col. 8) and non-advanced countries (col. 12) at 5% of signi…cance. 2 6 We cannot reject that RR Flex*join_bw>RR Fixed*join_bw and RR Flex*not_join_bw>RR Fixed*not_join_bw for advanced countries (col. 8) and that RR Flex*join_bw>RR Fixed*join_bw for non-advanced economies (col. 12) at 5% of signi…cance. 2 7 We cannot reject that RR Fixed*not_join_bw>RR Fixed*join_bw and RR Flex*join_bw>RR Flex*not_join_bw for advanced countries (col. 8) and that RR Fixed*not_join_bw>RR Fixed*join_bw for non-advanced economies (col. 12) at 5% of signi…cance. 17 ERR announcements match de facto behavior, as well as inconsistent ones.28 There is no role for the strategic use of ERR announcements in advanced countries. That is to say, RER volatility within de facto ERRs is independent of ERRs announcements. The unique dominant strategy is for a country to announce a …xed regime and commit itself fully to adopting and maintaining the integrity of the regime. Non-advanced countries show two key characteristics. First, Mussa’s argument does not hold for consistent or inconsistent regimes. For consistent cases, there seems to be a puzzling result that is contradictory with Mussa’s argument. Consistent …xed regimes are associated with higher RER volatility than consistent ‡exible regimes.29 Second, there is a systematic role for the strategic use of ERR announcements among non-advanced countries that favors the announcement of ERRs more ‡exible than de facto behavior.30 There are two dominant strategies; to announce a ‡exible regime and behave as such, or to exhibit a “fear of ‡oating”. This shows that in the absence of a fully institutionalized IMA, an asymmetry emerges regarding the bene…ts of announcements. It becomes less costly to behave more …xed than announced than it is to behave more ‡exible than announced. From this perspective, the “fear of ‡oating” phenomenon emerges as an optimal response to a world without international macroeconomic coordination. Therefore, our results indicate that within a true IMA such as BW, the incentives to use ERR announcements strategically are reduced. 6. Final Remarks Since early papers by Dornbush (1980), Stockman (1983) and Mussa (1986) there have been several empirical studies analyzing the neutrality of ERRs in the short-term with respect to RER volatility. Previous analyses have been limited by their use of o¢ cial bilateral RER where market-determined multilateral RER is the more appropriate RER measurement. Additionally, many papers use IMAs to distinguish …xed from ‡exible nominal ERRs and do not control for the incidence of real and nominal shocks. This paper shows that these limitations are important: The correlation between bilateral and market-determined multilateral RER movements is less than 0.2; around 40% of countries did not have …xed ERRs under Bretton Woods; more than 60% had …xed or limited ‡exibility ERRs in post Bretton Woods; and, nominal and real shocks account for more than 20% of monthly RER movement. With these limitations in mind, we revisit the question of whether or not ERRs are neutral with respect short-term RER volatility using a novel data set. We employ monthly market-determined multilateral RER data for 63 countries over the period 1946-2007. We control for the incidence of nominal and real shocks and identify ERRs by their de facto classi…cation. Using data on de facto ERRs and ERR announcements during BW and PBW, we assess two questions: Are there strategic complementarities 2 8 We cannot reject that RR Flex*IMF Flex>RR Fixed*IMF Fixed and RR ‡exibility higher than IMF>RR Fixed*IMF Fixed for advanced countries (col. 8) at 5% of signi…cance. 2 9 We cannot reject that RR Fixed*IMF Fixed>RR Flex*IMF Flex for non-advanced economies (col. 12) at 5% of signi…cance. 3 0 We cannot reject that RR Fixed*IMF Fixed>RR ‡exibility lower than IMF and RR ‡exibility higher than IMF>RR Flex*IMF Flex for non-advanced economies (col. 12) at 5% of signi…cance. 18 of ERRs under di¤erent IMAs, and what strategic role, if any, do ERR announcements play under di¤erent IMAs. As a whole, our paper aims to shed light on an old question while bringing forward two new issues that have not yet been analyzed. We …nd evidence to refute much of the literature arguing that short-term RER volatility is greater in BW than in PBW for industrialized countries. When marketdetermined multilateral RER measures are used instead of the o¢ cial bilateral RER, this …nding of higher volatility disappears. This …nding emphasizes the importance of using appropriate RER measures. Our …ndings con…rm Mussa’s argument for advanced and non-advanced economies in the BW era. We …nd evidence of a “U-Shape RER Nominal Flexibility Puzzle”for non-advanced countries in PBW. It seems that …xed and ‡exible regimes have similar RER volatility while limited ‡exibility regimes are associated with the lowest RER volatility. We …nd that in EBW advanced economies experienced particularly high exchange rate turbulence, while BW2 is associated with notorious low exchange rate turbulence for both advanced and non-advanced economies. Our …nding of a lack of strategic complementarities over the periods EBW and BW2, suggests that it is misleading to label these two periods as true IMAs, which, by de…nition, institutionalize norms of exchange rate adjustment and balance of payment imbalances. Our results show that for non-advanced economies there were strong strategic complementarities disfavoring selection of ‡exible regimes in BW. Indeed, we …nd that ‡exible regime RER volatility was 10 times greater under BW than it would be in PBW. Hence, in terms of RER volatility, it is relatively more costly to maintain a ‡exible regime when international institutions are encouraging the selection of …xed regimes. Otherwise stated, there are strategic complementarities to selecting an ERR that is consistent with the rules and norms being encouraged by the current IMA. With regard to the strategic role of ERR announcements, we …nd that BW rewarded consistency between announcement and de facto behavior through lower RER volatility. Under PBW, a dominant strategy has emerged amongst non-advanced countries whereby countries announce ERRs more ‡exible than their de facto behavior. This phenomenon, dubbed as “fear of ‡oating”, points to the asymmetries that emerge in IMAs that are under-institutionalized. These asymmetries, in turn, incentive countries to use ERR announcements strategically as an optimal response to an international context lacking the capacity for substantive macroeconomic coordination and stabilization. Our results, therefore, indicate that to avoid the pervasive costs associated with countries’fear of ‡oating (Calvo and Reinhart (2002) and Hausmann et al. (2001)) we must adopt a fully structured IMA through which countries’ incentives to use ERR announcements strategically will be diminished. During several recent G20 leaders’meetings there seem to be a consensus about the need of a new IMA that guarantees global …nancial stability and sustained growth, avoiding beggar-thy-neighbor and protectionism policies. However, an agreement on how to implement such major changes in international …nancial architecture seems quite distant. Our paper provides robust evidence regarding the key role of global 19 exchange rate regimes (IMAs) in shaping the functioning of national exchange rate regimes (ERRs) and exchange rate regime announcements. In particular, we …nd that there are strategic complementarities to selecting an ERR that is consistent with the “rules of the game”associated with the IMA. We also …nd that ERR announcements seems to play a key strategic role only in an international context lacking the capacity for substantive macroeconomic coordination and stabilization. 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List of countries Advanced countries (21): Austria, Belgium, Canada, Hong Kong, Cyprus, Finland, France, Germany, Greece, Iceland, Italy, Japan, Malta, Netherlands, Norway, Portugal, Spain, Sweden, Switzerland, United Kingdom, United States. Non-advanced countries (42): Argentina, Bolivia, Brazil, Chile, Colombia, Costa Rica, Dominican Republic, Ecuador, Egypt, El Salvador, Gabon, Ghana, Guatemala, Guyana, Haiti, Honduras, India, Indonesia, Israel, Jamaica, Korea, Madagascar, Malaysia, Mauritius, Mexico, Morocco, Nigeria, Pakistan, Paraguay, Peru, Philippines, Senegal, Singapore, South Africa, Sri Lanka, Syrian Arab Republic, Tanzania, Thailand, Tunisia, Turkey, Uruguay, Venezuela. II. Trade partners per country Trade Partners ARG ARG AUT BEL BOL BRA CAN CHE CHL COL CRI CYP DEU DOM ECU EGY ESP FIN FRA GAB GBR GHA GRC GTM GUY HKG HND HTI IDN IND ISL ISR ITA JAM JPN KOR LKA MAR MDG MEX MLT MUS MYS NGA NLD NOR PAK PER PHL PRT PRY SEN SGP SLV SWE SYR THA TUN TUR TZA URY USA VEN ZAF AUT BEL BRA x CAN CHE x x x x x x x DEU x x x x x x x x x x x ESP x x x x x x x x x x x x x x x x x FRA x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x IND ITA x x JPN KOR MEX MYS x NOR x x x x x x x x x x x x x x SLV SWE TUR x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x SGP x x x x x x x x x x x x x x x PAK x x x x x x x x x x x x x x x NLD x x x x x x x x HND IDN x x x x x x x x GTM HKG x x x x x x x x x x GBR x x x x x x x x x x x x x x x x x x x x x x x x x x x x USA x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x III. Main export commodities Main export commodity per country: cattle (Argentina, Uruguay), coconut oil (Philippines), coffee (Brazil, Colombia, Guatemala, Honduras, Haiti, Madagascar, El Salvador), copper (Chile, Peru), gold (Ghana, Tanzania, South Africa), jute (Nepal), oil (Bolivia, Ecuador, Egypt, Gabon, Indonesia, Mexico, Nigeria, Singapore, Syrian Arab Republic, Tunisia, Venezuela), orange (Israel, Jamaica), peanut (Senegal), rice (India, Sri Lanka, Pakistan, Thailand), rubber (Malaysia), soybean (Paraguay), steel (Turkey), sugar (Dominican Republic, Guyana, Mauritius), wheat (Morocco). 22 Figure 1. Monthly changes of official bilateral and official multilateral RERs. Belgium, 1948-2007. 15 Official bilateral 10 5 0 2002 1993 1984 1975 1966 1957 -10 1948 -5 15 Official multilateral 10 5 0 2002 1993 1984 1975 1966 1957 -10 1948 -5 Figure 2. Monthly changes of official and market-determined bilateral RERs. Bolivia, 1949-2007. 100 80 December 1956, RER depreciation of 320%. 60 November 1982, RER depreciation of 115%. September 1985, RER depreciation of 224%. Official bilateral 40 20 0 -20 -40 -60 2003 1994 1985 1976 1967 1958 1949 -80 -100 100 January 1985, RER depreciation of 108%. 80 Market-determined bilateral 60 40 20 0 -20 -40 -60 23 2003 1994 1985 1976 1967 1958 1949 -80 -100 0 -0.2 -0.4 -0.6 -0.8 24 Senegal 0.2 Chile Philipines Colombia Korea Malta Costa Rica Tanzania Ecuador Turkey India Indonesia Mauritius Madagascar Singapore Italy Ghana United States Thailand South Arica Morocco Jamaica Greece 0 Italy Spain Cyprus Malaysia Ecuador Tunisia Malta Portugal Costa Rica Tanzania Belgium Singapore Morocco Jamaica Senegal India Ghana Venezuela Mauritius Netherlands Guyana Turkey Paraguay United States Greece Switzerland Norway Pakistan Dominican Republic Colombia Haiti Honduras Sri Lanka Egypt Thailand Finland Austria Syrian Arab Republic Gabon Sweden Madagascar El Salvador South Africa France Philippines Korea Iceland Japan Hong Kong Nigeria Guatemala United Kingdom Indonesia Chile Uruguay Peru Mexico Germany Canada Brazil Israel Argentina Bolivia 0.4 Switzerland Argentina Israel Brazil Cyprus Malaysia Norway Portugal Canada Egypt Peru Gabon Japan Mexico Uruguay United Kingdom Germany Syrian Arab Republic Iceland Guatemala Venezuela Honduras Dominican Republic Haiti Paraguay Nigeria Sweden France Netherlands Bolivia Austria Sri Lanka El Salvador Finland Spain Belgium Guyana Pakistan Tunisia Hong Kong Figure 3. Correlation between monthly changes of official bilateral and official multilateral RERs. All countries, 1946-2007. 1 0.9 0.8 0.7 0.6 0.5 Average 0.40 0.3 0.2 0.1 Figure 4. Correlation between official multilateral RERs using yearly trade weights and 2000’s trade weights. All countries, 1946-2007. 1 0.8 0.6 0.4 Average 0.18 19 56 19 58 19 60 19 62 19 64 19 66 19 68 19 70 19 72 19 74 19 76 19 78 19 80 19 82 19 84 19 86 19 88 19 90 19 92 19 94 19 96 19 98 20 00 20 02 20 04 20 06 0 -0.2 Chile El Salvador Nigeria Paraguay Germany Tunisia Ghana Korea Israel Guyana United States Italy Egypt Turkey Pakistan Honduras Sri Lanka Brazil Iceland India Colombia Uruguay Dominican Republic Syrian Arab Republic Austria Philippines Jamaica Tanzania Costa Rica Spain Ecuador France Malaysia South Africa Singapore Japan Finland Netherlands Thailand Morocco Indonesia Argentina Mexico Portugal Greece United Kingdom Norway Haiti Sweden Belgium Switzerland Cyprus Canada Mauritius Hong Kong Malta Madagascar Gabon Senegal Guatemala Venezuela 0.4 Peru Bolivia Figure 5. Correlation between monthly changes of official bilateral and market-determined bilateral RERs. All countries, 1946-2007. 1 0.8 0.6 Average 0.35 0.2 -0.4 Figure 6. Cross-country average of ten-year window correlation between monthly changes of alternative RER measures. All countries, 1956-2007. 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 ob-om 25 ob-mb Note: ob, om and mb refers to official bilateral, official multilateral and market-determined bilateral RERs. Figure 7. Cross-country average of ten-year window correlation between monthly changes of official bilateral and official multilateral RERs. Advanced and Non-Advanced countries, 1956-2007. 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 19 56 19 58 19 60 19 62 19 64 19 66 19 68 19 70 19 72 19 74 19 76 19 78 19 80 19 82 19 84 19 86 19 88 19 90 19 92 19 94 19 96 19 98 20 00 20 02 20 04 20 06 0 Adv Non-Adv Figure 8. Cross-country average of ten-year window correlation between monthly changes of official bilateral and market-determined bilateral RERs. Advanced and Non-Advanced countries, 1956-2007. 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 19 56 19 58 19 60 19 62 19 64 19 66 19 68 19 70 19 72 19 74 19 76 19 78 19 80 19 82 19 84 19 86 19 88 19 90 19 92 19 94 19 96 19 98 20 00 20 02 20 04 20 06 0 Adv 26 Non-Adv 19 46 19 47 19 48 19 49 19 50 19 51 19 52 19 53 19 54 19 55 19 56 19 57 19 58 19 59 19 60 19 61 19 62 19 63 19 64 19 65 19 66 19 67 19 68 19 69 19 70 19 71 19 72 0 Adv 27 Non-Adv 100 90 80 70 60 50 40 30 20 10 0 Ghana Paraguay Ecuador Turkey Madagascar Gabon Chile Tanzania Indonesia Guyana Dominican Republic Colombia Bolivia Costa Rica Haiti Jamaica Malta Venezuela Nigeria El Salvador Tunisia Uruguay Malaysia Greece Syrian Arab Republic Senegal Iceland Korea Peru Japan Honduras Mexico Philippines Pakistan Thailand Brazil Argentina Egypt Spain India Guatemala South Africa Italy Portugal Mauritius Cyprus Sri Lanka Morocco Austria Germany Israel Norway Netherlands France Switzerland Singapore Finland Hong Kong United States Belgium Sweden Canada United Kingdom Figure 9. Intra-year volatility of market-determined multilateral RER. All countries, 1946-2007. 12 Advanced countries Non-advanced countries 10 8 6 4 2 Figure 10. Share of Advanced and Non-advanced countries joining the IMF, 1946-1972. Table 1. Intra-year RER volatility in Advanced and Non-advanced countries. Includes Reinhart-Rogoff free falling category. Non-Adv Adv Absolute difference Percentual difference t-stat p-value (Adv>Non-Adv) Official Bilateral Official Multilateral 2.881 2.260 0.621 27.5% 3.998 1 4.751 1.956 2.795 142.9% 14.165 1 Market-determined Bilateral 4.132 2.881 1.251 43.4% 8.231 1 Market-determined Multilateral 5.218 2.249 2.969 132.0% 15.173 1 Table 2. Percentage distribution of Reinhart-Rogoff ERRs across international monetary arrangements and groups of countries (1946-2007). Includes Reinhart-Rogoff free falling category. Early Bretton Woods (1946-1950) All Adv. Non-Adv RR Fixed 61.6 32.0 77.3 RR Lim. Flex. 2.7 5.8 1.0 RR Flex. 29.0 46.6 19.6 RR Free Falling 6.7 15.5 2.1 Total 100 100 100 Bretton Woods (1951-1972) Post Bretton Woods (1973-2000) Bretton Woods II (2001-2007) All Adv. Non-Adv All Adv. Non-Adv All Adv. Non-Adv 63.2 61.9 63.8 22.5 26.0 20.7 30.3 57.1 16.7 12.7 18.8 9.4 34.5 43.2 30.0 29.4 0.7 44.1 20.9 18.4 22.2 30.9 28.9 31.8 39.3 42.2 37.8 3.3 0.9 4.6 12.2 1.9 17.5 0.9 0.0 1.4 100 100 100 100 100 100 100 100 100 Table 3. Percentage distribution of Reinhart-Rogoff ERRs across international monetary arrangements and groups of countries (1946-2007). Excludes Reinhart-Rogoff free falling category. RR Fixed RR Lim. Flex. RR Flex. Total Early Bretton Woods (1946-1950) All Adv. Non-Adv 66.1 37.9 78.9 2.9 6.9 1.1 31.0 55.2 20.0 100.0 100.0 100.0 Bretton Woods (1951-1972) Post Bretton Woods (1973-2000) Bretton Woods II (2001-2007) All Adv. Non-Adv All Adv. Non-Adv All Adv. Non-Adv 65.3 62.4 66.9 25.6 26.5 25.1 30.6 57.1 16.9 13.1 19.0 9.8 39.3 44.0 36.4 29.7 0.7 44.7 21.6 18.6 23.3 35.1 29.5 38.6 39.7 42.2 38.4 100.0 100.0 100.0 100.0 100.0 100.0 100.0 100.0 100.0 Table 4. Percentage distribution of ERRs announcements to IMF across groups of countries (1973-2007). Excludes Reinhart-Rogoff free falling category. All 37.4 10.8 51.8 100 IMF Fixed IMF Lim. Flex. IMF Flex. Total Adv. 28.2 23.1 48.7 100 Non-Adv 42.8 3.6 53.6 100 Table 5. Percentage distribution of ERRs announcements and Reinhart-Rogoff ERRs across groups of countries for periods 1946-1972 and 1973-2007. Excludes Reinhart-Rogoff free falling category. Period 1946-1972: Period 1973-2007: All All join_bw not join_bw RR Fixed 45% 20% RR Lim. Flex. 10% 1% RR Flex. 20% 4% IMF Fixed IMF Lim. Flex. IMF Flex. RR Fixed 18% RR Lim. Flex. RR Flex. 22% 3% 34% 23% Adv Adv join_bw not join_bw RR Fixed 48% 10% RR Lim. Flex. 14% 2% RR Flex. 21% 5% IMF Fixed IMF Lim. Flex. IMF Flex. RR Lim. Flex. RR Flex. 18% 6% 36% 25% Non-Adv Non-Adv join_bw not join_bw RR Fixed 15% RR Fixed 44% 25% RR Lim. Flex. 7% 1% RR Flex. 20% 3% IMF Fixed IMF Lim. Flex. IMF Flex. 28 RR Fixed 20% RR Lim. Flex. RR Flex. 23% 2% 33% 22% Table 6. Incidence of real and nominal monthly shocks on monthly RER movements (1946-2007). Includes Reinhart-Rogoff free falling category. Official Bilateral (1) (+) grTOT grTOT_1 grTOT_2 grTOT_3 grTOT_4 grTOT_5 grTOT_6 grTOT_7 grTOT_8 grTOT_9 grTOT_10 grTOT_11 Average share 1 11 1 1 1 2 2 1 (0) 61 62 61 62 52 61 57 58 60 63 60 62 (2) (-) (+) 2 1 1 1 1 5 4 1 1 1 1 1 12 1 1 1 1 1 (0) 60 61 61 61 51 62 62 58 60 62 61 62 (3) (-) (+) 2 2 1 1 1 2 11 1 2 1 4 1 2 1 1 1 3 (0) 59 62 61 60 52 60 57 59 61 63 62 60 4 3 4 2 3 4 1 3 7 1 4 Average share 48 11 56 4 56 3 55 6 59 1 58 1 58 5 57 5 59 1 55 1 58 4 56 3 3 3 4 2 1 2 2 2 7 1 4 (-) 3 1 2 1 1 5 3 1 1 48 12 57 3 57 2 57 4 59 3 60 1 59 4 56 5 59 2 55 1 55 7 58 1 4.8 89.1 6.0 4.2 89.8 6.0 (+) 1 1 2 1 12 1 1 3 1 1 3 (0) (-) 59 58 60 60 51 62 58 56 57 61 60 60 3.5 92.9 3 4 7 2 3 3 3 4 2 5 2 4 7.3 5.4 90.8 3.8 10.1 86.2 Observations N. of countries Average R² 7 1 4 2 2 3 2 2 2 2 36 3 5 4 2 3 6 4 4 3 53 3 7 3 1 4 2 3 2 3 3 Average share (5) (6) (7) 27 53 57 60 57 58 56 57 55 59 59 1 24 39 43 50 48 48 48 45 49 44 49 (+) 2 4 4 4 3 1 1 3.6 5.6 87.1 Average share crisis crisis_1 crisis_2 crisis_3 crisis_4 crisis_5 crisis_6 crisis_7 crisis_8 crisis_9 crisis_10 crisis_11 Market-determined Multilateral 2 1 4 6 3 1 2 15 4 1 6 3 2 5 6 2 1 7 2 20 1 1 NA 3 4 1 2 45 55 55 55 57 58 55 53 59 57 54 57 grRER_1 grRER_2 grRER_3 grRER_4 grRER_5 grRER_6 grRER_7 grRER_8 grRER_9 grRER_10 grRER_11 1 3 2 3 2 4 1 43 55 61 59 60 58 58 58 59 57 60 Market-determined Bilateral (4) 2.6 95.1 2.2 2.6 95.4 2.0 2.8 94.8 2.4 grINF grINF_1 grINF_2 grINF_3 grINF_4 grINF_5 grINF_6 grINF_7 grINF_8 grINF_9 grINF_10 grINF_11 Official Multilateral (-) NA 59 61 61 57 59 58 60 62 61 61 62 62 2 2 4 1 2 1 2 1 2 2 1 2 1 2 8 1 1 2 1 2 3 2 1 2 49 10 60 2 57 4 62 1 62 59 2 59 3 57 4 62 1 60 1 60 2 60 1 1 2 1 4 1 2 2 1 3.7 57 61 59 60 61 60 61 61 58 60 60 2 2 5 2 4 5 1 4 5 5 3 8 35 3 4 4 3 3 4 4 3 7 4 4 11 44 43 43 43 42 40 43 43 39 43 42 1 2 3 1 2 2 2 2 4 1 1 3 2 2 2 3 4 5 2 3 3 2 3 (-) NA 60 2 61 2 62 61 2 54 1 61 2 50 13 60 1 57 3 59 2 61 2 60 1 4 2 3 1 2 1 4 3 5 4 4 45 3 2 5 2 6 1 3 2 7 3 59 60 58 61 60 59 57 56 60 62 62 60 2 53 59 58 59 63 56 57 55 60 59 56 60 4 2 4 1 2 2 4 1 1 2 2 1 1 2 3 1 1 1 1 2 8 4 1 2 3 5 6 1 4 3 2 2.8 92.1 5.1 5 6 4 3 1 8 4 2 3 2 1 1 33 13 33 10 41 3 37 4 37 7 36 4 36 9 38 5 40 4 33 6 36 7 (-) NA 3.2 94.4 2.4 1 1 58 60 60 60 61 63 61 56 57 60 57 1 1 1 1 2 4.8 89.4 5.7 14 14 14 14 14 14 14 14 14 14 14 14 (0) 1 42 19 57 4 54 4 59 2 54 5 54 4 57 5 55 4 57 1 55 3 54 6 52 3 54 55 56 59 60 54 55 58 55 57 58 (+) 3 1 3 1 2 2 3 6 2 6.2 85.8 8.1 1.9 95.0 3.1 9 9 9 9 9 9 9 9 9 9 9 9 (0) 2.4 93.4 4.2 2.3 93.8 3.9 5 (+) 1 2.8 95.7 1.5 7 1 3 2 3 4 27 8 11 1 5 2 4 6 3 7 2 (0) 4 2 3 2 1 2 6 5 3 4 1.2 94.1 4.7 17 17 17 17 17 17 17 17 17 17 17 17 32 4 3 5 4 4 2 5 4 6 5 3 10 38 42 39 38 39 41 40 40 38 40 42 4 4 1 2 4 3 3 1 2 2 1 1 17 17 17 17 17 17 17 17 17 17 17 17 11.1 64.6 10.1 14.3 10.3 63.0 4.5 22.2 10.4 53.0 9.5 27.0 10.2 59.1 3.7 27.0 44456 63 0.023 44119 63 0.052 44102 63 0.101 44102 63 0.497 41884 63 0.234 43614 63 0.290 41456 63 0.216 Note: OLS robust regressions, monthly frequency. Intercept estimates not reported. For each indpendent variable (e.g., grTOT_2) we summarize how many country regressions have coeficients that are statistically positive (+), negative (-); or not statistically different from zero (0). For currency crises we report NA when a country never had a currency crisis. We use official bilateral, official multilateral, market-determined bilateral and market-determined multilateral currency crises in columns 4, 5, 6 and 7 respectively. 29 Table 7. Intra-year residual RER volatility in Advanced and Non-advanced countries. Includes Reinhart-Rogoff free falling category. Official Bilateral Official Multilateral 2.366 1.894 0.472 24.9% 5.081 1 4.324 1.721 2.603 151.3% 17.116 1 Non-Adv Adv Absolute difference Percentual difference t-stat p-value (Adv>Non-Adv) Market-determined Bilateral 3.671 2.591 1.080 41.7% 10.097 1 Market-determined Multilateral 4.734 2.047 2.687 131.3% 17.628 1 Note: Intra-year residual RER volatility is calculated according to equations (1) and (2) from pages 13 and 14. Table 8. Intra-year residual RER volatility across International Monetary Arrangements (1946-2007). Excludes Reinhart-Rogoff free falling category. All ebw Official Bilateral Official Multilateral (1) (2) Adv Marketdetermined Bilateral (3) Marketdetermined Multilateral (4) Official Bilateral Official Multilateral (5) (6) Non-Adv Marketdetermined Bilateral (7) Marketdetermined Multilateral (8) Official Bilateral Official Multilateral (9) (10) Marketdetermined Bilateral (11) Marketdetermined Multilateral (12) 1.024*** [2.74] 0.575*** [4.41] 0.404*** [2.75] 1.021** [2.17] -0.394** [-2.13] -0.780*** [-3.54] 2.244*** [4.64] 0.845*** [4.12] -0.383* [-1.73] 1.643*** [3.16] -0.3 [-1.54] -1.164*** [-5.27] 1.640** [2.20] 1.191*** [8.47] 0.938*** [7.36] 1.294** [2.47] -0.277* [-2.04] -0.435*** [-3.16] 3.706*** [4.03] 1.560*** [9.94] 0.474** [2.59] 2.352*** [3.07] -0.121 [-0.90] -0.617*** [-4.28] 0.627* [1.84] 0.179 [1.14] 0.085 [0.43] 0.834 [1.16] -0.467 [-1.60] -0.972*** [-2.92] 1.240*** [3.35] 0.393 [1.32] -0.883*** [-2.97] 1.145 [1.65] -0.409 [-1.33] -1.469*** [-4.52] Observations N. of countries R² 3109 63 0.032 3109 63 0.01 3109 63 0.078 3109 63 0.019 1174 21 0.16 1174 21 0.036 1174 21 0.256 1174 21 0.064 1935 42 0.005 1935 42 0.008 1935 42 0.041 1935 42 0.015 tests (p-value): ebw=bw pbw=bw bw2=bw ebw=pbw ebw=bw2 pbw=bw2 0.008 0 0.008 0.224 0.088 0.104 0.034 0.038 0.001 0.003 0 0.003 0 0 0.088 0.004 0 0 0.002 0.128 0 0 0 0 0.040 0 0 0.546 0.299 0.051 0.023 0.055 0.005 0.011 0.007 0.005 0.001 0 0.018 0.029 0.001 0 0.006 0.381 0 0.005 0.001 0 0.073 0.262 0.670 0.209 0.160 0.515 0.253 0.117 0.006 0.061 0.017 0.011 0.002 0.195 0.005 0.053 0 0 0.107 0.189 0 0.031 0.001 0 pbw bw2 Note: Panel data fixed effects regressions. Intercept estimates not reported. Ominted category Bretton Woods, bw (1951-1972). Ebw, pbw and bw2 stand for early Bretton Woods (1946-1950), post Bretton Woods (1973-2000) and Bretton Woods II (2001-2007). The value 0 is reported when the first three decimal digits are equal to zero. Intra-year residual RER volatility is calculated according to equations (1) and (2) from pages 12 and 13. Robust t stat in brackets. *, ** and *** denote significance at 10%, 5% and 1% levels, respectively. Table 9. Intra-year residual RER volatility across Reinhart-Rogoff de facto ERRs (1946-2007). Excludes Reinhart-Rogoff free falling category. All Official Bilateral (1) RR Lim Flex (rr_2) Adv Non_Adv MarketMarketMarketMarketMarketMarketOfficial Official Official Official Official determined determined determined determined determined determined Bilateral Multilateral Bilateral Multilateral Multilateral Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) 0.232** [2.05] 0.863*** [6.40] -0.555** [-2.53] 0.026 [0.12] 0.397** [2.18] 1.729*** [6.86] -0.582** [-2.45] 0.439* [1.98] 0.622*** [4.05] 0.773*** [4.09] 0.06 [0.30] 0.442** [2.63] 1.119*** [5.98] 1.509*** [5.40] 0.279 [1.42] 0.891*** [4.69] -0.033 [-0.25] 0.897*** [4.81] -0.971*** [-3.12] -0.236 [-0.74] -0.093 [-0.42] 1.821*** [5.10] -1.165*** [-3.71] 0.147 [0.45] Observations N. of countries R² 3109 63 0.035 3109 63 0.004 3109 63 0.081 3109 63 0.008 1174 21 0.044 1174 21 0.008 1174 21 0.1 1174 21 0.022 1935 42 0.042 1935 42 0.007 1935 42 0.096 1935 42 0.012 tests (p-value): rr_2=rr_1 rr_3=rr_1 rr_2=rr_3 0.045 0 0 0.014 0.905 0.042 0.033 0 0 0.017 0.052 0.001 0.001 0.001 0.424 0.764 0.016 0.126 0 0 0.117 0.171 0 0.018 0.807 0 0 0.003 0.465 0.088 0.676 0 0 0.001 0.655 0.003 RR Flex (rr_3) Note: Panel data fixed effects regressions. Intercept estimates not reported. Ominted category RR Fixed, rr_1. RR Fixed, RR Lim. Flex. and RR Flex. stand for Reinhart-Rogoff fixed, limited flexibility and flexible regimes respectively. The value 0 is reported when the first three decimal digits are equal to zero. Intra-year residual RER volatility is calculated according to equations (1) and (2) from pages 12 and 13. Robust t stat in brackets. *, ** and *** denote significance at 10%, 5% and 1% levels, respectively. 30 Table 10. Intra-year residual RER volatility across ERRs announcements (1946-2007). Excludes Reinhart-Rogoff free falling category. All Adv Non_Adv MarketMarketMarketMarketMarketMarketOfficial Official Official Official Official Official determined determined determined determined determined determined Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) join_bw -0.343** [-2.55] -0.184 [-0.55] -0.079 [-0.31] 1.630*** [2.71] -0.677*** [-3.10] -0.338 [-0.47] -0.207 [-0.76] 1.899*** [2.67] -0.655*** [-3.25] -0.123 [-0.30] 0.358 [1.69] 1.823 [1.62] -0.634** [-2.65] 1.044 [1.16] 0.406* [2.06] 2.810* [1.78] -0.148 [-0.95] -0.243 [-0.56] -0.284 [-0.79] 1.563** [2.21] -0.636** [-2.21] -0.952 [-1.04] -0.488 [-1.27] 1.528* [1.87] 0.471*** [2.84] 0.058 [0.38] -0.183 [-0.57] -0.778*** [-3.33] 0.015 [0.042] -0.574** [-2.08] -0.424 [-1.64] -1.011*** [-3.71] 0.567*** [3.34] 0.353 [1.22] -0.065 [-0.37] 0.144 [0.73] 0.693** [2.44] 0.502 [1.31] 0.027 [0.19] 0.298 [1.36] -0.302* [-1.94] -0.077 [-0.48] 0.523 [0.41] -1.187*** [-3.83] -1.824*** [-3.45] -1.075*** [-3.41] -0.4 [-0.42] -1.605*** [-4.61] Observations N. of countries R² 3109 63 0.018 3109 63 0.019 3109 63 0.015 3109 63 0.025 1174 21 0.106 1174 21 0.033 1174 21 0.089 1174 21 0.048 1935 42 0.002 1935 42 0.022 1935 42 0.03 1935 42 0.029 tests (p-value): join_bw=not_join_bw imf_2=imf_1 imf_3=imf_1 imf_2=imf_3 0.610 0.006 0.704 0.018 0.006 0.571 0.001 0.141 0.592 0.967 0.042 0.074 0.004 0.106 0.000 0.081 0.201 0.003 0.237 0.303 0.233 0.712 0.472 0.307 0.087 0.024 0.206 0.539 0.163 0.849 0.190 0.240 0.807 0.060 0.634 0.128 0.009 0.683 0 0.220 0.684 0.001 0.001 0.106 0.012 0.677 0.000 0.259 not_join_bw IMF Lim Flex (imf_2) IMF Flex (imf_3) Note: Panel data fixed effects regressions. Intercept estimates not reported. Ominted category is IMF Fixed (imf_1). IMF Fixed, IMF Lim Flex and IMF Flex stand for IMF fixed, limited flexible regimes respectively. Join_bw and not_join_bw stand for countries joining or not Bretton Woods. The value 0 is reported when the first three decimal digits are equal to zero. Intra-year residual RER volatility is calculated according to equations (1) and (2) from pages 12 and 13. Robust t stat in brackets. *, ** and *** denote significance at 10%, 5% and 1% levels, respectively. Table 11. Intra-year residual RER volatility across International Monetary regimes and. RR ERRs (1946-2007). Excludes Reinhart-Rogoff free falling category. All Adv Non_Adv MarketMarketMarketMarketMarketMarketOfficial Official Official Official Official Official determined determined determined determined determined determined Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) RR Fixed * ebw (1) 1.631*** [2.70] -0.022 [-0.11] 1.240*** [2.85] 0.776 [1.51] 0.033 [0.10] 1.817** [2.06] 2.606*** [3.21] 2.099*** [4.38] 3.584*** [7.53] 1.281** [2.07] 0.763*** [3.49] 2.983*** [3.22] 3.467* [1.83] 0.258 [1.22] 1.247*** [3.06] 1.308* [2.02] 0.227 [0.74] 1.782* [2.03] 4.749* [1.87] 2.339*** [5.07] 4.097*** [6.34] 1.928*** [3.49] 0.986*** [4.88] 3.366** [2.56] 0.942*** 0.573 [3.37] [0.84] 1.809*** [4.09] 1.017 [1.24] 1.446* [1.72] 1.902 [1.15] 3.165*** [4.68] 2.570* [1.94] 0.382* [1.83] 1.098*** [3.69] -0.063 [-0.14] 0.695** [2.20] 0.735*** [2.79] 2.468*** [6.68] 0.046 [0.10] 1.322*** [4.27] 0.607* [1.88] 0.413* [1.90] 0.313 [0.51] 0.506 [1.00] 0.828*** [3.11] 1.362*** [4.98] 0.487 [0.82] 1.052** [2.26] 0.237 [0.79] 1.362*** [3.46] -0.373 [-0.63] 0.745* [1.89] 0.731* [1.80] 2.883*** [6.09] -0.294 [-0.44] 1.371*** [3.46] 0.725*** [4.70] 0.671*** [4.94] 1.167*** [8.04] 0.13 [0.35] -0.560** [-2.06] -0.188 [-0.65] 1.019*** [5.18] 1.093*** [5.33] 2.228*** [7.22] 0.25 [0.66] -0.469* [-1.69] 0.321 [1.09] 1.211*** [5.11] 1.331*** [7.46] 1.532*** [11.5] -0.410* [-1.92] -0.183 [-1.12] 0.155 [1.21] 1.583*** [7.44] 1.919*** [9.69] 2.249*** [10.8] -0.248 [-0.97] 0.069 [0.46] 0.575*** [3.22] 0.406** [2.52] 0.203 [1.54] 0.917*** [4.51] 0.475 [0.82] -0.859* [-2.01] -0.371 [-0.85] 0.667** [2.46] 0.501* [1.97] 2.135*** [4.59] 0.579 [0.98] -0.886** [-2.09] 0.168 [0.38] 0.460*** [3.67] RR Lim Flex * bw2 (11) 0.206 [1.32] RR Flex * bw2 (12) 1.281*** [5.42] -0.586* [-1.75] -0.800** [-2.03] -0.549** [-2.15] 0.122 [0.59] -0.499* [-1.95] 0.977*** [3.07] -0.715* [-1.98] -1.268*** [-3.68] -0.675** [-2.63] 0.862*** [6.44] 1.410*** [7.00] 1.425*** [7.40] -0.445*** [-3.06] 0.276** [2.83] -0.109 [-0.71] 0.612*** [4.18] 1.517*** [6.37] 1.155*** [4.80] -0.520*** [-3.63] 0.277** [2.83] -0.139 [-0.88] 0.089 [0.36] -0.014 [-0.088] 1.227*** [3.33] -0.779 [-0.95] -0.900* [-1.95] -0.778* [-1.93] -0.332 [-0.75] -0.744** [-2.49] 0.876* [1.77] -0.92 [-1.02] -1.416*** [-3.52] -0.977** [-2.45] Observations N. of countries R² 3109 63 0.015 3109 63 0.161 3109 63 0.03 1174 21 0.199 1174 21 0.048 1174 21 0.293 1174 21 0.089 1935 42 0.055 1935 42 0.016 1935 42 0.152 1935 42 0.028 RR Lim Flex * ebw (2) RR Flex * ebw (3) RR Lim Flex * bw (5) RR Flex * bw (6) RR Fixed * pbw (7) RR Lim Flex * pbw (8) RR Flex * pbw (9) RR Fixed * bw2 (10) 3109 63 0.067 31 Table 11 continuation. All Adv Non_Adv MarketMarketMarketMarketMarketMarketOfficial Official Official Official Official Official determined determined determined determined determined determined Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) tests (p-value): 1=2 1=3 1=4 1=5 1=6 1=7 1=8 1=9 1=10 1=11 1=12 2=3 2=4 2=5 2=6 2=7 2=8 2=9 2=10 2=11 2=12 3=4 3=5 3=6 3=7 3=8 3=9 3=10 3=11 3=12 5=4 6=4 7=4 8=4 9=4 10=4 11=4 12=4 5=6 5=7 5=8 5=9 5=10 5=11 5=12 6=7 6=8 6=9 6=10 6=11 6=12 7=8 7=9 7=10 7=11 7=12 8=9 8=10 8=11 8=12 9=10 9=11 9=12 10=11 10=12 11=12 0.008 0.595 0.009 0.043 0.365 0.126 0.101 0.447 0.048 0.017 0.556 0.008 0.909 0.093 0.002 0.001 0.001 0 0.021 0.304 0 0.006 0.076 0.793 0.254 0.218 0.866 0.075 0.023 0.933 0.073 0 0 0 0 0.001 0.191 0 0.040 0.135 0.138 0 0.703 0.395 0.001 0.245 0.189 0.821 0.047 0.007 0.595 0.703 0.012 0.054 0.003 0.030 0 0.075 0.001 0.005 0 0 0.572 0.094 0.001 0 0.190 0.312 0.135 0.187 0.882 0.286 0.010 0.050 0.022 0.011 0.010 0.061 0.919 0.864 0.096 0.812 0.105 0.509 0.113 0.070 0.068 0.044 0.083 0.226 0.067 0.011 0.032 0.010 0.007 0.013 0.886 0.032 0.725 0.043 0.517 0.086 0.047 0.035 0.152 0.725 0.219 0.791 0.270 0.192 0.280 0.168 0.000 0.004 0.001 0.001 0.000 0.047 0.446 0.059 0.014 0.045 0.291 0.929 0.432 0.967 0.253 0.172 0.069 0.601 0.908 0.507 0.573 0.287 0.002 0.024 0.871 0.052 0.057 0.662 0.003 0 0.041 0.023 0 0.012 0.525 0.036 0.049 0.801 0 0 0.033 0 0 0.038 0 0 0.007 0 0 0 0.007 0 0 0 0 0.557 0.055 0.003 0 0.270 0.210 0 0.014 0 0.481 0 0.001 0.529 0 0 0.001 0.738 0 0 0 0.905 0 0 0 0.683 0 0 0 0.022 0.014 0 0.397 0.127 0.042 0.096 0.948 0.149 0.008 0.120 0.005 0.001 0.002 0.017 0.001 0.084 0.067 0.193 0 0.108 0 0 0 0.002 0.009 0.070 0.004 0 0.007 0 0 0 0.920 0 0.512 0.097 0.281 0.053 0 0.011 0.015 0.712 0.205 0.597 0.123 0.016 0.129 0.011 0 0.002 0 0 0 0.052 0.876 0.020 0 0.010 0.037 0.429 0.010 0.457 0.008 0 0 0.174 0.907 0.093 0.098 0.257 0.083 0.142 0.112 0.239 0.256 0.327 0.174 0.246 0.257 0.027 0.237 0.270 0.555 0.003 0 0 0.011 0 0 0.006 0.264 0.075 0.932 0.846 0.431 0.329 0.713 0.685 0.074 0.072 0 0 0 0 0 0 0.456 0.079 0.028 0.013 0.385 0.016 0.008 0.005 0 0 0.017 0 0 0.533 0.169 0.039 0.392 0.366 0.249 0.001 0.551 0.576 0 0.603 0.645 0.002 0.001 0.876 0.165 0.675 0.057 0.287 0.349 0.026 0.051 0.111 0.020 0.124 0.065 0.127 0.468 0.911 0.650 0.054 0.238 0.803 0.040 0.883 0.287 0.056 0.297 0.049 0.028 0.041 0.104 0.022 0.116 0.066 0.615 0.329 0.069 0.274 0.241 0.006 0.010 0.488 0.843 0.304 0.405 0.778 0.249 0.947 0.424 0.095 0.181 0.548 0.067 0.663 0.306 0.281 0.029 0.750 0.005 0.247 0.063 0.076 0 0.613 0.002 0.333 0.005 0 0.090 0.004 0.346 0.804 0.076 0.134 0.195 0.218 0.267 0.352 0.111 0.180 0.152 0.029 0 0.007 0.082 0.160 0.402 0.861 0.002 0.102 0.023 0 0 0 0.001 0.003 0.010 0.000 0.001 0 0.005 0 0 0 0 0 0 0 0.116 0.011 0.002 0.000 0.347 0.037 0.347 0.486 0.079 0.012 0.013 0.649 0.632 0.119 0.041 0 0.790 0.184 0.246 0 0.033 0.005 0 0.050 0.003 0 0.042 0.077 0.099 0.322 0.002 0.085 0.236 0.002 0.005 0.029 0 0.006 0.004 0.081 0 0.350 0.900 0.002 0 0.123 0 0.001 0 0.019 0.085 0.048 0.011 0.019 0.061 0.007 0.029 0.016 0.421 0.035 0.343 0.648 0.004 0.002 0.010 0.391 0.532 0.296 0.457 0.874 0.116 0.696 0.246 0.021 0.048 0.416 0.003 0.123 0.041 0.213 0.032 0.092 0.053 0.723 0.078 0 0.019 0.183 0 0.172 0.002 0 0.081 0.005 . 0.571 0.002 0.107 0.237 0.078 0.023 0.936 0.018 0.002 0.551 . . . . . . . . . . 0.094 0.172 0.928 0.221 0.144 0.531 0.125 0.082 0.809 0.433 0.001 0.016 0.130 0 0.720 0.931 0.002 0.036 0.590 0.897 0.016 0.666 0.375 0.022 0.020 0.006 0.262 0.013 0.002 0.780 0.188 0.013 0.238 0.023 0.030 0 0.657 0.096 0.002 0.002 0 0.304 0.697 0.008 0.001 . 0.458 0.404 0.249 0.795 0.905 0.036 0.130 0.183 0.046 0.045 . . . . . . . . . . 0.255 0.196 0.507 0.391 0.110 0.171 0.134 0.099 0.119 0.530 0.066 0.415 0.051 0.402 0.347 0.058 0.060 0.058 0.274 0.387 0.997 0.640 0.451 0.532 0.624 0.001 0.000 0.044 0.001 0 0.016 0.168 0.143 0.006 0.012 0.370 0.915 0.901 0.859 0.594 0.327 0.180 0.879 0.999 0.785 . 0.086 0 0.053 0.065 0.024 0.005 0.531 0.001 0 0.113 . . . . . . . . . . 0 0.002 0.669 0.001 0.000 0.137 0 0 0.002 0.079 0 0.018 0.056 0 0.455 0.017 0.084 0 0.859 0.592 0.005 0.011 0.001 0.784 0.000 0.000 0.112 0 0 0.001 0.588 0.002 0.008 0.000 0.693 0 0.094 0.000 0.365 0 0 0.012 0.384 0.053 0.001 . 0.319 0.222 0.193 0.663 0.651 0.034 0.295 0.098 0.009 0.018 . . . . . . . . . . 0.059 0.060 0.381 0.145 0.015 0.076 0.025 0.005 0.011 0.661 0.001 0.333 0.043 0.709 0.311 0.001 0.019 0.011 0.277 0.335 0.554 0.515 0.119 0.337 0.164 0 0.001 0.007 0 0 0.012 0.531 0.089 0 0.003 0.065 0.968 0.125 0.842 0.199 0.005 0.001 0.563 0.945 0.303 Note: Panel data fixed effects regressions. Intercept estimates not reported. Ominted category RR Fixed * bw (4). Ebw, bw, pbw and bw2 stand for early Bretton Woods (1946-1950), Bretton Woods (1951-1972), Post Bretton Woods (1973-2000) and Bretton Woods II (2001-2007). RR Fixed, RR Lim. Flex. and RR Flex. stand for Reinhart-Rogoff fixed, limited flexibility and flexible regimes respectively. The value 0 is reported when the first three decimal digits are equal to zero. Intra-year residual RER volatility is calculated according to equations (1) and (2) from pages 12 and 13. Robust t stat in brackets. *, ** and *** denote significance at 10%, 5% and 1% levels, respectively. 32 Table 12. Intra-year residual RER volatility across IMF ERRs and RR ERRs (1946-2007). Excludes Reinhart-Rogoff free falling category. All Adv Non_Adv MarketMarketOfficial Official Official Official determined determined Bilateral Multilateral Bilateral Multilateral Bilateral Multilateral (1) (2) (3) (4) (5) (6) MarketMarketOfficial determined determined Bilateral Bilateral Multilateral (7) (8) (9) -0.455** [-2.17] -1.074*** [-8.81] 1.445** [2.64] -0.051 [-0.20] -0.331** [-2.11] 0.453 [1.61] 1.351* [1.81] -0.768*** [-3.19] 2.458** [2.22] -0.366 [-0.99] -0.232 [-0.42] 0.361 [0.91] -0.871* [-1.78] 0.096 [0.53] 4.028*** [6.87] -0.377* [-1.79] 0.147 [0.52] 1.635*** [5.13] 1.451* [1.74] -0.682*** [-2.71] 4.148*** [3.42] -0.383 [-1.03] -0.16 [-0.28] 0.881** [2.24] -0.380* 1.151*** [-1.81] [7.72] -1.004*** -0.199 [-4.93] [-1.13] 0.852 3.404 [1.59] [1.65] -0.061 0.255 [-0.16] [1.18] -0.603** 0.701 [-2.27] [0.97] -0.392 0.666* [-1.53] [1.76] -0.653** [-2.28] 0.460** [2.22] 3.703*** [4.54] -0.532* [-1.86] 0.156 [0.43] 0.893** [2.59] 0.921*** [4.38] 0.138 [0.87] 6.047*** [2.90] 0.347 [1.71] 0.964 [1.38] 1.200*** [3.85] -0.537** 1.089 [-2.31] [1.16] -1.087* [-1.91] 1.182 [1.18] 1.950** [2.63] -0.109 [-0.32] -0.179 [-1.03] 0.895** [2.36] 1.746 [1.64] -0.752 [-1.34] -0.846 [-1.13] 0.032 [0.052] 4.213*** [7.04] -0.323 [-1.21] 0.103 [0.28] 1.923*** [4.67] 2.593** [2.17] -0.83 [-1.49] -0.877 [-1.11] 0.495 [0.81] 0.511* [1.80] 0.739*** [3.78] 0.447** [2.63] 0.074 [0.42] -0.141 [-0.17] -0.766* [-1.91] -0.228 [-0.66] -0.885*** [-2.69] 0.473 [0.79] 0.890*** [3.00] 1.455*** [4.25] -0.015 [-0.061] -0.415 [-0.67] -0.586 [-1.41] 0.175 [0.46] -0.954*** [-2.78] 0.951*** [4.09] 0.705** [2.37] 0.522* [1.96] 0.426 [1.44] -0.234 [-1.07] 0.187 [0.78] 0.253 [1.17] 0.048 [0.25] 1.527*** [4.54] 1.028** [2.71] 1.324*** [4.88] 0.869*** [2.86] 0.129 [0.49] 0.564* [2.07] 0.562** [2.40] 0.268 [1.62] -0.449** [-2.08] 0.751*** [2.91] 0.312 [1.57] -0.171 [-0.99] 0.981 [0.51] -1.366** [-2.22] -0.618 [-1.14] -1.540*** [-2.96] -1.429** [-2.29] 0.751* [1.77] 1.325** [2.69] -0.623** [-2.29] -0.36 [-0.21] -1.315** [-2.12] -0.2 [-0.35] -1.790*** [-3.44] Observations N. of countries R² 3109 63 0.049 3109 63 0.023 3109 63 0.115 3109 63 0.035 1174 21 0.123 1174 21 0.057 1174 21 0.167 1174 21 0.105 1935 42 0.05 1935 42 0.025 1935 42 0.135 1935 42 0.035 tests (p-value): 1=2 1=3 1=4 1=5 1=6 2=3 2=4 2=5 2=6 3=4 3=5 3=6 4=5 4=6 5=6 0 0 0.515 0.147 0.005 0 0 0 0 0.002 0.014 0.095 0.243 0.002 0.124 0.003 0.399 0.014 0.056 0.178 0.003 0.057 0.263 0 0.014 0.053 0.070 0.762 0.006 0.228 0.037 0 0.294 0.069 0 0 0.002 0.845 0 0 0 0 0.072 0 0 0.008 0.067 0.020 0.082 0.495 0 0.124 0.285 0 0 0.004 0.012 0.638 0 0.034 0 0.019 0.127 0.347 0.941 0.001 0.006 0.011 0.001 0.007 0.211 0.033 0.159 0.334 0.251 0 0.290 0 0.514 0.138 0.080 0.006 0.252 0.008 0.142 0.309 0.179 0.525 0.174 0.966 0 0 0.628 0.042 0.002 0 0 0.321 0.194 0 0.001 0.005 0.063 0.001 0.101 0.001 0.025 0.023 0.951 0.411 0.007 0.165 0.276 0.001 0.013 0.061 0.027 0.373 0.004 0.745 . 0.001 0.097 0.238 0.001 . . . . 0.009 0.014 0.205 0.831 0.004 0.053 . 0.627 0.023 0.050 0.222 . . . . 0.030 0.042 0.166 0.866 0.040 0.130 . 0 0.159 0.079 0 . . . . 0 0 0.001 0.265 0 0 . 0.353 0.022 0.061 0.472 . . . . 0.009 0.018 0.135 0.942 0.002 0.034 7=8 7=9 7=10 7=11 8=9 8=10 8=11 9=10 9=11 10=11 0.077 0 0.011 0.673 0.386 0.820 0.077 0.065 0 0.008 0.865 0.061 0.512 0.009 0.526 0.923 0.407 0.080 0.718 0.008 0.430 0.004 0 0.952 0.447 0.109 0.345 0.066 0.001 0 0.506 0.163 0.646 0.007 0.827 0.403 0.425 0.029 0.271 0.001 0.001 0.028 0.065 0.165 0.179 0.053 0.005 0.403 0.119 0.671 0.298 0.442 0.255 0.806 0.070 0.081 0.210 0.777 0.451 0.358 0.000 0.014 0 0.010 0.182 0.551 0.046 0.382 0.515 0.065 0.632 0.043 0.026 0.122 0.185 0.186 0.582 0.994 0.232 0.218 0.044 0.006 0.125 0.326 0 0.004 0.177 0.054 0 0.002 0.616 0.032 0.259 0.005 0.295 0.441 0.230 0.125 0.739 0.008 0.027 0.084 0.010 0.027 0.001 0 0.157 0.190 0 0 0.831 0.040 0.730 0.001 0.627 0.930 0.430 0.034 0.358 0.001 RR Fixed * not_join_bw (1) RR Lim Flex * not_join_bw (2) RR Flex * not_join_bw (3) RR Fixed * join_bw (4) RR Lim Flex * join_bw (5) RR Flex * join_bw (6) RR Lim Flex * IMF Lim Flex (8) RR Flex * IMF Flex (9) RR flexibility higher than IMF (10) RR flexibility lower than IMF (11) Official Multilateral (10) MarketMarketdetermined determined Bilateral Multilateral (11) (12) Note: Panel data fixed effects regressions. Intercept estimates not reported. Ominted category is RR Fixed * IMF Fixed (7). RR Fixed, RR Lim. Flex. and RR Flex. stand for Reinhart-Rogoff fixed, limited flexibility and flexible regimes respectively. IMF Fixed, IMF Lim Flex and IMF Flex stand for IMF fixed, limited flexibility and flexible regimes respectively. Join_bw and not_join_bw stand for countries joining or not Bretton Woods. The value 0 is reported when the first three decimal digits are equal to zero. Intra-year residual RER volatility is calculated according to equations (1) and (2) from pages 12 and 13. Robust t stat in brackets. *, ** and *** denote significance at 10%, 5% and 1% levels, respectively. 33