Huang, Huichou and MacDonald, Ronald and Zhao, Yang (2012): Global Currency Misalignments, Crash Sensitivity, and Moment Risk Premia.
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Abstract
We show that the profitability of currency carry trades can be understood as the compensation for exchange rate misalignment risk based on the rare disastrous model of exchange rates (Farhi and Gabaix, 2008). It explains over 97% of the cross-sectional excess returns and dominates other candidate factors, including volatility and liquidity risk. Both currency carry and misalignment portfolios trade on the position-likelihood indicator (Huang and MacDonald, 2013) that explores the probability of the Uncovered Interest Rate Parity (UIP) to hold in the option pricing model. To examine the crash story of currency risk premia, we employ copula method to capture the tail sensitivity (CS) of currencies to the global market, and compute the moment risk premia by model-free approach using volatility risk premia as the proxy for downside insurance costs (DI). We find: (i) notable time-varying currency risk premia in pre-crisis and post-crisis periods with respect to both CS and DI; and (ii) the pay-off components of the strategy trading on skew risk premia mimic the behavior of currency carry trades. We further reveal and rationalize the differences in the performances of currency portfolios doubly sorted by CS and DI. We propose a novel trading strategy that makes a trade-off of the time-variation in risk premia between low and high volatility regimes and is thereby almost immunized from risk reversals. It generates a sizable average excess return (6.69% per annum, the highest among several studied currency trading strategies over the sample period) and its alpha that cannot be explained by canonical risk factors, including hedge fund (Fung and Hsieh, 2001) and betting-against-beta (Frazzini and Pedersen, 2014) risk factors, and government policy uncertainty meausres (Baker, Bloom, and Davis, 2012). Unlike other currency trading strategies, its cumulative wealth is driven by both exchange rate and yield components. We also investigate the behavior of currency momentum that is shown subject to credit risk, similarly to its stock market version (Avramov, Chordia, Jostova, and Philipov, 2007): Winner currencies performance well when sovereign default probability is low and loser currencies provide the hedge against this type of risk when sovereign default probability hikes up. The changes in global sovereign CDS spreads contribute 59% of the variation to the factor that captures the common dynamics of the currency trading strategies. From asset allocation perspective, a crash-averse investor is better off by allocating about 40% of the wealth to currency-misalignment portfolio and about 35% to crash-sensitive portfolio in tranquil period while reallocating about 85% of portfolio holdings to downside-insurance-cost strategy during the financial turmoil.
Item Type: | MPRA Paper |
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Original Title: | Global Currency Misalignments, Crash Sensitivity, and Moment Risk Premia |
Language: | English |
Keywords: | Exchange Rate Misalignments, Copula, Tail Dependence, Moment Risk Premia, Currency Investment Strategies. |
Subjects: | F - International Economics > F3 - International Finance > F31 - Foreign Exchange F - International Economics > F3 - International Finance > F37 - International Finance Forecasting and Simulation: Models and Applications G - Financial Economics > G0 - General > G01 - Financial Crises G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates G - Financial Economics > G1 - General Financial Markets > G17 - Financial Forecasting and Simulation |
Item ID: | 53986 |
Depositing User: | Huichou Huang |
Date Deposited: | 27 Feb 2014 14:53 |
Last Modified: | 26 Sep 2019 15:30 |
References: | Ahn, S. and A. Horenstein (2013). Eigenvalue ratio test for the number of factors. Econometrica 81(3), 1203–1227. Akram, Q., D. Rime, and L. Sarno (2008). Arbitrage in the foreign exchange market: Turning on the microscope. Journal of International Economics 76(2), 237–253. Andrews, D. (1991). Heteroskedasticity and autocorrelation consistent covariance matrix estimation. Econometrica 59(3), 817–858. Ang, A. and G. Bekaert (2002). International asset allocation with regime shifts. Review of Financial Studies 15(4), 1137–1187. Ang, A. and J. Chen (2002). Asymmetric correlations of equity portfolios. Journal of Financial Economics 63(3), 443–494. Asness, C., A. Frazzini, and L. H. Pedersen (2013). Quality minus junk. Available at SSRN No.2312432. Asness, C., T. Moskowitz, and L. H. Pedersen (2013). Value and momentum everywhere. The Journal of Finance 68(3), 929–985. Avramov, D., T. Chordia, G. Jostova, and A. Philipov (2007). Momentum and credit rating. The Journal of Finance 62(5), 2503–2520. Bacchetta, P. and E. van Wincoop (2006). Can information heterogeneity explain the exchange rate determination puzzle? The American Economic Review 96(3), 552–576. Bacchetta, P. and E. van Wincoop (2009). On the unstable relationship between exchange rates and macroeconomic fundamentals. NBER Working Paper No.15008. Bai, J. (2003). Inferential theory for factor models of large dimensions. Econometrica 71(1), 135–171. Bai, J. and S. Ng (2002). Determining the number of factors in approximate factor models. Econometrica 70(1), 191–221. Bai, J. and S. Ng (2006). Confidence intervals for diffusion index forecasts and inference for factor-augmented regressions. Econometrica 74(4), 1133–1150. Bai, J. and S. Ng (2007). Determining the number of primitive shocks in factor models. Journal of Business and Economic Statistics 25(1), 52–60. Baker, S., N. Bloom, and S. Davis (2012). Measuring economic policy uncertainty. Available at SSRN No.2198490. Bakshi, G. and N. Kapadia (2003). Delta-hedged gains and the negative market volatility premium. Review of Financial Studies 16(2), 527–566. Bakshi, G., N. Kapadia, and D. Madan (2003). Stock return characteristics, skew laws, and the differential pricing of individual equity options. Review of Financial Studies 16(1), 101–143. Bakshi, G. and D. Madan (2000). Spanning and derivative-security valuation. Journal of Financial Economics 55(2), 205–238. Barberis, N., M. Huang, and T. Santos (2001). Prospect theory and asset prices. The Quarterly Journal of Economics 116(1), 1–53. Barro, R. (2006). Rare disasters and asset markets in the twentieth century. The Quarterly Journal of Economics 121(3), 823–866. Benartzi, S. and R. Thaler (1995). Myopic loss aversion and the equity premium puzzle. The Quarterly Journal of Economics 110(1), 73–92. Boivin, J. and S. Ng (2005). Understanding and comparing factor-based forecasts. NBER Working Paper No.11285. Bollen, N. and R. Whaley (2009). Hedge fund risk dynamics: Implications for performance appraisal. The Journal of Finance 64(2), 985–1035. Bollerslev, T., M. Gibson, and H. Zhou (2011). Dynamic estimation of volatility risk premia and investor risk aversion from option-implied and realized volatilities. Journal of Econometrics 160(1), 235–245. Bollerslev, T., G. Tauchen, and H. Zhou (2009). Expected stock returns and variance risk premia. Review of Financial Studies 22(11), 4463–4492. Bollerslev, T. and V. Todorov (2011). Tails, fears, and risk premia. The Journal of Finance 66(6), 2165–2211. Breeden, D. and R. Litzenberger (1978). Prices of state-contingent claims implicit in option prices. The Journal of Business 51(4), 621–651. Britten-Jones, M. and A. Neuberger (2000). Option prices, implied price processes, and stochastic volatility. The Journal of Finance 55(2), 839–866. Brunnermeier, M., S. Nagel, and L. H. Pedersen (2009). Carry trades and currency crashes. In NBER Macroeconomics Annual, Volume 23, pp. 313–347. University of Chicago Press. Burnside, C. (2011). The cross-section of foreign currency risk premia and consumption growth risk: Comment. The American Economic Review 101(7), 3456–3476. Burnside, C., M. Eichenbaum, and S. Rebelo (2006). The returns to currency speculation. NBER Working Paper No.12489. Carhart, M. (1997). On persistence in mutual fund performance. The Journal of Finance 52(1), 57–82. Carr, P. and D. Madan (2001). Towards a theory of volatility trading. In Option Pricing, Interest Rates and Risk Management, Handbook in Mathematical Finance, pp. 458–476. Eds. Jouini, E. and Cvitanic, J. and Musiela, M., Cambridge University Press. Carr, P. and L. Wu (2009). Variance risk premiums. Review of Financial Studies 22(3), 1311–1341. Chan, L., N. Jegadeesh, and J. Lakonishok (1996). Momentum strategies. The Journal of Finance 51(5), 1681–1713. Chernov, M., J. Graveline, and I. Zviadadze (2012). Sources of risk in currency returns. CEPR Discussion Papers No.8745. Chinn, M. and H. Ito (2006). What matters for financial development? Capital controls, institutions, and interactions. Journal of Development Economics 81(1), 163–192. Chordia, T. and L. Shivakumar (2002). Momentum, business cycle, and time-varying expected returns. The Journal of Finance 57(2), 985–1019. Christoffersen, P., V. Errunza, K. Jacobs, and H. Langlois (2012). Is the potential for international diversification disappearing? a dynamic copula approach. Review of Financial Studies 25(12), 3711–3751. Christoffersen, P. and H. Langlois (2013). The joint dynamics of equity market factors. Forthcoming in Journal of Financial and Quantitative Analysis. Clark, P. and R. MacDonald (1998). Exchange rates and economic fundamentals: A methodological comparison of BEERs and FEERs. IMF Working Paper No.98/67. Cline, W. (2008). Estimating consistent fundamental equilibrium exchange rates. PIIE Working Paper Series No.08-6. Cochrane, J. (2005). Asset Pricing (Revised Edition). Princeton, NJ: Princeton University Press. Cooper, M., R. Gutierrez, and A. Hameed (2004). Market states and momentum. The Journal of Finance 59(3), 1345–1365. Croux, C., . Forni, and L. Reichlin (2001). A measure of comovement for economic variables: Theory and empirics. Review of Economics and Statistics 83(2), 232–241. Della Corte, P., T. Ramadorai, and L. Sarno (2013). Volatility risk premia and exchange rate predictability. CEPR Discussion Papers No.9549. Della Corte, P., L. Sarno, and I. Tsiakas (2011). Spot and forward volatility in foreign exchange. Journal of Financial Economics 100(3), 496–513. Demeterfi, K., E. Derman, M. Kamal, and J. Zou (1999). A guide to volatility and variance swaps. The Journal of Derivatives 6(4), 9–32. Dias, A. and P. Embrechts (2010). Modeling exchange rate dependence dynamics at different time horizons. Journal of International Money and Finance 29(8), 1687–1705. Doz, C., D. Giannone, and L. Reichlin (2011). A two-step estimator for large approximate dynamic factor models based on Kalman filtering. Journal of Econometrics 164(1), 188–205. Doz, C., D. Giannone, and L. Reichlin (2012). A quasi–maximum likelihood approach for large, approximate dynamic factor models. Review of Economics and Statistics 94(4), 1014–1024. Égert, B., L. Halpern, and R. MacDonald (2006). Equilibrium exchange rates in transition economies: Taking stock of the issues. Journal of Economic Surveys 20(2), 257–324. Engel, C., N. Mark, and K. West (2007). Exchange rate models are not as bad as you think. In NBER Macroeconomics Annual, Volume 22, pp.381–441. University of Chicago Press. Engel, C. and K. West (2005). Exchange rates and fundamentals. The Journal of Political Economy 113(3), 485–517. Fama, E. (1984). Forward and spot exchange rates. Journal of Monetary Economics 14(3), 319–338. Fama, E. and K. French (1992). The cross-section of expected stock returns. The Journal of Finance 47(2), 427–465. Fama, E. and K. French (1993). Common risk factors in the returns on stocks and bonds. Journal of Financial Economics 33(1), 3–56. Fama, E. and J. MacBeth (1973). Risk, return, and equilibrium: Empirical tests. The Journal of Political Economy 81(3), 607–636. Farhi, E. and X. Gabaix (2008). Rare disasters and exchange rates. NBER Working Paper No.13805. Forni, M., M. Hallin, M. Lippi, and L. Reichlin (2000). The generalized dynamic factor model: Identification and estimation. Review of Economics and Statistics 82(4), 540–554. Forni, M., M. Hallin, M. Lippi, and L. Reichlin (2004). The generalized dynamic factor model: Consistency and rates. Journal of Econometrics 119(2), 231–255. Forni, M., M. Hallin, M. Lippi, and L. Reichlin (2005). The generalized dynamic factor model: One-sided estimation and forecasting. Journal of the American Statistical Association 100(471), 830–840. Frahm, G., M. Junker, and R. Schmidt (2005). Estimating the tail-dependence coefficient: Properties and pitfalls. Insurance: Mathematics and Economics 37(1), 80–100. Frankel, J. and A. Rose (1995). Empirical research on nominal exchange rates. In Handbook of International Economics, Volume 3, pp. 1689–1729. Eds. Grossman, G. and Rogoff, K., Elsevier. Frazzini, A. and L. H. Pedersen (2014). Betting against beta. Journal of Financial Economics 111(1), 1–25. Fung, W. and D. Hsieh (2001). The risk in hedge fund strategies: Theory and evidence from trend followers. Review of Financial Studies 14(2), 313–341. Fung, W., D. Hsieh, N. Naik, and T. Ramadorai (2008). Hedge funds: Performance, risk, and capital formation. The Journal of Finance 63(4), 1777–1803. Gabaix, X. (2012). Variable rare disasters: An exactly solved framework for ten puzzles in macro-finance. The Quarterly Journal of Economics 127(2), 645–700. Gabaix, X. and M. Maggiori (2014). International liquidity and exchange rate dynamics. NBER Working Paper No.19854. Garleanu, N., L. H. Pedersen, and A. Poteshman (2009). Demand-based option pricing. Review of Financial Studies 22(10), 4259–4299. Garman, M. and S. Kohlhagen (1983). Foreign currency option values. Journal of International Money and Finance 2(3), 231–237. Giannone, D., L. Reichlin, and D. Small (2008). Nowcasting: The real-time informational content of macroeconomic data. Journal of Monetary Economics 55(4), 665–676. Glosten, L., R. Jagannathan, and D. Runkle (1993). On the relation between the expected value and the volatility of the nominal excess return on stocks. The Journal of Finance 48(5), 1779–1801. Gourinchas, P.-O. and H. Rey (2007). International financial adjustment. The Journal of Political Economy 115(4), 665–703. Griffin, J., X. Ji, and J. S. Martin (2003). Momentum investing and business cycle risk: Evidence from pole to pole. The Journal of Finance 58(6), 2515–2547. Grinblatt, M. and B. Han (2005). Prospect theory, mental accounting, and momentum. Journal of Financial Economics 78(2), 311–339. Hallin, M. and R. Liˇska (2007). Determining the number of factors in the general dynamic factor model. Journal of the American Statistical Association 102(478), 603–617. Hansen, B. (1994). Autoregressive conditional density estimation. International Economic Review 35(3), 705–730. Hansen, L. (1982). Large sample properties of generalized method of moments estimators. Econometrica 50(4), 1029–1054. Hansen, L. and R. Jagannathan (1997). Assessing specification errors in stochastic discount factor models. The Journal of Finance 52(2), 557–590. Hong, H., T. Lim, and J. Stein (2000). Bad news travels slowly: Size, analyst coverage, and the profitability of momentum strategies. The Journal of Finance 55(1), 265–295. Hong, Y., J. Tu, and G. Zhou (2007). Asymmetries in stock returns: Statistical tests and economic evaluation. Review of Financial Studies 20(5), 1547–1581. Huang, H. and R. MacDonald (2013). Currency carry trades, position-unwinding risk, and sovereign credit premia. Available at SSRN No.2287287. Hvidkjaer, S. (2006). A trade-based analysis of momentum. Review of Financial Studies 19(2), 457–491. Jagannathan, R. and Z. Wang (1996). The conditional CAPM and the cross-section of expected returns. The Journal of Finance 51(1), 3–53. Jiang, G. and Y. Tian (2005). The model-free implied volatility and its information content. Review of Financial Studies 18(4), 1305–1342. Joe, H. (1997). Multivariate Models and Dependence Concepts. Monographs on Statistics and Applied Probability, Volume 73, London: Chapmann & Hall / CRC. Joe, H., H. Li, and A. Nikoloulopoulos (2010). Tail dependence functions and vine copulas. Journal of Multivariate Analysis 101(1), 252–270. Jordà,Ò. and A. Taylor (2012). The carry trade and fundamentals: Nothing to fear but FEER itself. Journal of International Economics 88(1), 74–90. Jurek, J. (2007). Crash-neutral currency carry trades. In AFA 2010 Atlanta Meetings Paper. Kahneman, D. and A. Tversky (1979). Prospect theory: An analysis of decision under risk. Econometrica 47(2), 263–291. Kilian, L. and M. Taylor (2003). Why is it so difficult to beat the random walk forecast of exchange rates? Journal of International Economics 60(1), 85–107. Korajczyk, R. and R. Sadka (2004). Are momentum profits robust to trading costs? The Journal of Finance 59(3), 1039–1082. Kose, A., C. Otrok, and E. Prasad (2012). Global business cycles: Convergence or decoupling? International Economic Review 53(2), 511–538. Kose, A., C. Otrok, and C. Whiteman (2003). International business cycles: World, region, and country-specific factors. The American Economic Review 93(4), 1216–1239. Kozhan, R., A. Neuberger, and P. Schneider (2013). The skew risk premium in the equity index market. Forthcoming in Review of Financial Studies. Lane, P. and G. Milesi-Ferretti (2007). The external wealth of nations Mark II: Revised and extended estimates of foreign assets and liabilities, 1970–2004. Journal of International Economics 73(2), 223–250. Lettau, M., M. Maggiori, and M. Weber (2013). Conditional risk premia in currency markets and other asset classes. NBER Working Paper No.18844. Liu, L. X. and L. Zhang (2008). Momentum profits, factor pricing, and macroeconomic risk. Review of Financial Studies 21(6), 2417–2448. Longin, F. and B. Solnik (2001). Extreme correlation of international equity markets. The Journal of Finance 56(2), 649–676. Lustig, H., N. Roussanov, and A. Verdelhan (2011). Common risk factors in currency markets. Review of Financial Studies 24(11), 3731–3777. MacDonald, R. (2005). Exchange Rate Economics: Theories and Evidence. Routledge. MacDonald, R. and P. Dias (2007). Behavioural equilibrium exchange rate estimates and implied exchange rate adjustments for ten countries. Peterson Institute of International Economics Working Paper, February. MacDonald, R. and M. Taylor (1994). The monetary model of the exchange rate: Long-run relationships, short-run dynamics and how to beat a random walk. Journal of International Money and Finance 13(3), 276–290. McNeil, A., R. Frey, and P. Embrechts (2005). Quantitative Risk Management: Concepts, Techniques, and Tools. Princeton, NJ: Princeton University Press. Meese, R. and K. Rogoff (1983). Empirical exchange rate models of the seven-ties: Do they fit out of sample? Journal of International Economics 14(1), 3–24. Menkhoff, L., L. Sarno, M. Schmeling, and A. Schrimpf (2012a). Carry trades and global foreign exchange volatility. The Journal of Finance 67(2), 681–718. Menkhoff, L., L. Sarno, M. Schmeling, and A. Schrimpf (2012b). Currency momentum strategies. Journal of Financial Economics 106(3), 660–684. Menkhoff, L., L. Sarno, M. Schmeling, and A. Schrimpf (2013). Currency risk premia and macro fundamentals. Available at SSRN No.2282480. Moskowitz, T., Y. H. Ooi, and L. H. Pedersen (2012). Time series momentum. Journal of Financial Economics 104(2), 228–250. Neuberger, A. (2012). Realized skewness. Review of Financial Studies 25(11), 3423–3455. Newey, W. and K. West (1987). A simple, positive semi-definite, heteroskedasticity and autocorrelation consistent covariance matrix. Econometrica 55(3), 703–708. Parker, J. and C. Julliard (2005). Consumption risk and the cross-section of expected returns. The Journal of Political Economy 113(1), 185–222. Patton, A. (2004). On the out-of-sample importance of skewness and asymmetric dependence for asset allocation. Journal of Financial Econometrics 2(1), 130–168. Patton, A. (2006). Modelling asymmetric exchange rate dependence. International Economic Review 47(2), 527–556. Patton, A. and T. Ramadorai (2013). On the high-frequency dynamics of hedge fund risk exposures. The Journal of Finance 68(2), 597–635. Patton, A. and A. Timmermann (2010). Monotonicity in asset returns: New tests with applications to the term structure, the CAPM, and portfolio sorts. Journal of Financial Economics 98(3), 605–625. Poon, S.-H., M. Rockinger, and J. Tawn (2004). Extreme value dependence in financial markets: Diagnostics, models, and financial implications. Review of Financial Studies 17(2), 581–610. Ramadorai, T. (2013). Capacity constraints, investor information, and hedge fund returns. Journal of Financial Economics 107(2), 401–416. Rietz, T. (1988). The equity risk premium: A solution. Journal of Monetary Economics 22(1), 117–131. Sarno, L. and E. Sojli (2009). The feeble link between exchange rates and fundamentals: Can we blame the discount factor? Journal of Money, Credit and Banking 41(2-3), 437–442. Sarno, L. and G. Valente (2009). Exchange rates and fundamentals: Foot-loose or evolving relationship? Journal of the European Economic Association 7(4), 786–830. Shanken, J. (1992). On the estimation of beta-pricing models. Review of Financial Studies 5(1), 1–55. Shefrin, H. and M. Statman (1985). The disposition to sell winners too early and ride losers too long: Theory and evidence. The Journal of Finance 40(3), 777–790. Shleifer, A. and R. Vishny (1997). The limits of arbitrage. The Journal of Finance 52(1), 35–55. Sklar, M. (1959). Fonctions de Répartition à N Dimensions et leurs Marges. Université Paris 8. Stock, J. and M. Watson (1989). New indexes of coincident and leading economic indicators. In NBER Macroeconomics Annual, Volume 4, pp.351–409. MIT Press. Stock, J. and M. Watson (2002a). Forecasting using principal components from a large number of predictors. Journal of the American Statistical Association 97(460), 1167–1179. Stock, J. and M. Watson (2002b). Macroeconomic forecasting using diffusion indexes. Journal of Business and Economic Statistics 20(2), 147–162. Stock, J. and M. Watson (2005). Understanding changes in international business cycle dynamics. Journal of the European Economic Association 3(5), 968–1006. Thaler, R. (1980). Toward a positive theory of consumer choice. Journal of Economic Behavior and Organization 1(1), 39–60. Verardo, M. (2009). Heterogeneous beliefs and momentum profits. Journal of Financial and Quantitative Analysis 44(4), 795. Weitzman, M. (2007). Subjective expectations and asset-return puzzles. The American Economic Review 97(4), 1102–1130. Williamson, J. (1983). Estimating Equilibrium Exchange Rates. Washington DC: Peterson Institute of Interntional Economics. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/53986 |
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Global Currency Misalignments, Crash Sensitivity, and Downside Insurance Costs. (deposited 19 Feb 2014 10:19)
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Global Currency Misalignments, Crash Sensitivity, and Downside Insurance Costs. (deposited 21 Feb 2014 14:59)
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Global Currency Misalignments, Crash Sensitivity, and Downside Insurance Costs. (deposited 21 Feb 2014 14:59)