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Rare Disasters and Exchange Rates

  • Emmanuel Farhi
  • Xavier Gabaix

We propose a new model of exchange rates, which yields a theory of the forward premium puzzle. Our explanation combines two ingredients: the possibility of rare economic disasters, and an asset view of the exchange rate. Our model is frictionless, has complete markets, and works for an arbitrary number of countries. In the model, rare worldwide disasters can occur and affect each country's productivity. Each country's exposure to disaster risk varies over time according to a mean-reverting process. Risky countries command high risk premia: they feature a depreciated exchange rate and a high interest rate. As their risk premium mean reverts, their exchange rate appreciates. Therefore, currencies of high interest rate countries appreciate on average. To make the notion of disaster risk more implementable, we show how options prices might in principle uncover latent disaster risk, and help forecast exchange rate movements. We then extend the framework to incorporate two factors: a disaster risk factor, and a business cycle factor. We calibrate the model and obtain quantitatively realistic values for the volatility of the exchange rate, the forward premium puzzle regression coefficients, and near-random walk exchange rate dynamics. Finally, we solve a model of stock markets across countries, which yields a series of predictions about the joint behavior of exchange rates, bonds, options and stocks across countries. The evidence from the options market appears to be supportive of the model.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 13805.

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Date of creation: Feb 2008
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Handle: RePEc:nbr:nberwo:13805
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  1. Campbell, John Y. & Yogo, Motohiro, 2006. "Efficient tests of stock return predictability," Journal of Financial Economics, Elsevier, vol. 81(1), pages 27-60, July.
  2. John Y. Campbell & John H. Cochrane, 1995. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," NBER Working Papers 4995, National Bureau of Economic Research, Inc.
  3. Lettau, Martin & Maggiori, Matteo & Weber, Michael, 2013. "Conditional Risk Premia in Currency Markets and Other Asset Classes," CEPR Discussion Papers 9484, C.E.P.R. Discussion Papers.
  4. Hanno Lustig & Adrien Verdelhan, 2004. "The Cross-Section of Foreign Currency Risk Premia and US Consumption Growth Risk," 2004 Meeting Papers 136c, Society for Economic Dynamics.
  5. Harald Hau & Hélène Rey, 2006. "Exchange Rates, Equity Prices, and Capital Flows," Review of Financial Studies, Society for Financial Studies, vol. 19(1), pages 273-317.
  6. Froot, Kenneth A & Frankel, Jeffrey A, 1989. "Forward Discount Bias: Is It an Exchange Risk Premium?," The Quarterly Journal of Economics, MIT Press, vol. 104(1), pages 139-61, February.
  7. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
  8. Barro, Robert, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," Scholarly Articles 3208215, Harvard University Department of Economics.
  9. Hanno Lustig & Adrien Verdelhan, 2007. "The Cross Section of Foreign Currency Risk Premia and Consumption Growth Risk," American Economic Review, American Economic Association, vol. 97(1), pages 89-117, March.
  10. Anna Pavlova & Roberto Rigobon, 2007. "Asset Prices and Exchange Rates," Review of Financial Studies, Society for Financial Studies, vol. 20(4), pages 1139-1180.
  11. Jessica Wachter, 2008. "Can Time-Varying Risk of Rare Disasters Explain Aggregate Stock Market Volatility?," NBER Working Papers 14386, National Bureau of Economic Research, Inc.
  12. Hanno Lustig & Adrien Verdelhan, 2008. "The Cross-Section of Foreign Currency Risk Premia and Consumption Growth Risk: A Reply," NBER Working Papers 13812, National Bureau of Economic Research, Inc.
  13. Robert J. Barro & Tao Jin, 2009. "On the Size Distribution of Macroeconomic Disasters," NBER Working Papers 15247, National Bureau of Economic Research, Inc.
  14. Jonathan Berk & Richard C. Green & Vasant Naik, 1998. "Optimal Investment, Growth Options, and Security Returns," NBER Working Papers 6627, National Bureau of Economic Research, Inc.
  15. Emi Nakamura & Jón Steinsson & Robert Barro & José Ursúa, 2013. "Crises and Recoveries in an Empirical Model of Consumption Disasters," American Economic Journal: Macroeconomics, American Economic Association, vol. 5(3), pages 35-74, July.
  16. Pierre-Olivier Gourinchas & Helene Rey, 2005. "International Financial Adjustment," NBER Working Papers 11155, National Bureau of Economic Research, Inc.
  17. Obstfeld, Maurice & Rogoff, Kenneth, 1995. "Exchange Rate Dynamics Redux," Journal of Political Economy, University of Chicago Press, vol. 103(3), pages 624-60, June.
  18. A. Craig Burnside & Martin Eichenbaum & Isaac Kleshchelski & Sergio T. Rebelo, 2010. "Do Peso Problems Explain the Returns to the Carry Trade?," Working Papers 10-44, Duke University, Department of Economics.
  19. Craig Burnside & Martin Eichenbaum & Isaac Kleshchelski & Sergio Rebelo, 2006. "The Returns to Currency Speculation," NBER Working Papers 12489, National Bureau of Economic Research, Inc.
  20. Adrien Verdelhan, 2006. "A Habit-Based Explanation of the Exchange Rate Risk Premium," 2006 Meeting Papers 872, Society for Economic Dynamics.
  21. Andrew B. Abel, . "Asset Prices Under Habit Formation and Catching Up With the Jones," Rodney L. White Center for Financial Research Working Papers 1-90, Wharton School Rodney L. White Center for Financial Research.
  22. Meese, Richard A. & Rogoff, Kenneth, 1983. "Empirical exchange rate models of the seventies : Do they fit out of sample?," Journal of International Economics, Elsevier, vol. 14(1-2), pages 3-24, February.
  23. Andreas Stathopoulos & Adrien Verdelhan & Hanno Lustig, 2014. "The Term Structure of Currency Carry Trade Risk Premia," 2014 Meeting Papers 837, Society for Economic Dynamics.
  24. Garman, Mark B. & Kohlhagen, Steven W., 1983. "Foreign currency option values," Journal of International Money and Finance, Elsevier, vol. 2(3), pages 231-237, December.
  25. Gourinchas, Pierre-Olivier & Rey, Hélène, 2005. "From World Banker to World Venture Capitalist: US External Adjustment and The Exorbitant Privilege," CEPR Discussion Papers 5220, C.E.P.R. Discussion Papers.
  26. Craig Burnside & Martin Eichenbaum & Sergio Rebelo, 2009. "Understanding the Forward Premium Puzzle: A Microstructure Approach," American Economic Journal: Macroeconomics, American Economic Association, vol. 1(2), pages 127-54, July.
  27. David K. Backus & Gregor W. Smith, 1993. "Consumption and Real Exchange Rates in Dynamic Economies with Non-Traded Goods," Working Papers 1252, Queen's University, Department of Economics.
  28. Riccardo Colacito & Mariano Croce, 2005. "Risks For The Long Run And The Real Exchange Rate," 2005 Meeting Papers 794, Society for Economic Dynamics.
  29. Xavier Gabaix & Matteo Maggiori, 2014. "International Liquidity and Exchange Rate Dynamics," 2014 Meeting Papers 74, Society for Economic Dynamics.
  30. Peter Carr & Liuren Wu, 2004. "Stochastic Skew in Currency Options," Finance 0409014, EconWPA.
  31. Frankel, Jeffrey & Engel, Charles M., 1984. "Do asset-demand functions optimize over the mean and variance of real returns? A six-currency test," Journal of International Economics, Elsevier, vol. 17(3-4), pages 309-323, November.
  32. Frachot, Antoine, 1996. "A reexamination of the uncovered interest rate parity hypothesis," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 419-437, June.
  33. Alex Maynard & Peter C. B. Phillips, 2001. "Rethinking an old empirical puzzle: econometric evidence on the forward discount anomaly," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(6), pages 671-708.
  34. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
  35. Xavier Gabaix, 2007. "Linearity-Generating Processes: A Modelling Tool Yielding Closed Forms for Asset Prices," NBER Working Papers 13430, National Bureau of Economic Research, Inc.
  36. Xavier Gabaix, 2012. "Variable Rare Disasters: An Exactly Solved Framework for Ten Puzzles in Macro-Finance," The Quarterly Journal of Economics, Oxford University Press, vol. 127(2), pages 645-700.
  37. Mehra, Rajnish & Prescott, Edward C., 1988. "The equity risk premium: A solution?," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 133-136, July.
  38. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
  39. Hanno Lustig & Adrien Verdelhan, 2009. "Comment on "Carry Trades and Currency Crashes"," NBER Chapters, in: NBER Macroeconomics Annual 2008, Volume 23, pages 361-384 National Bureau of Economic Research, Inc.
  40. Fernando Alvarez & Andrew Atkeson & Patrick J. Kehoe, 2002. "Money, Interest Rates, and Exchange Rates with Endogenously Segmented Markets," Journal of Political Economy, University of Chicago Press, vol. 110(1), pages 73-112, February.
  41. Engel, Charles & Hamilton, James D, 1990. "Long Swings in the Dollar: Are They in the Data and Do Markets Know It?," American Economic Review, American Economic Association, vol. 80(4), pages 689-713, September.
  42. Rietz, Thomas A., 1988. "The equity risk premium a solution," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 117-131, July.
  43. Xavier Gabaix & Parameswaran Gopikrishnan & Vasiliki Plerou & H. Eugene Stanley, 2006. "Institutional Investors and Stock Market Volatility," The Quarterly Journal of Economics, MIT Press, vol. 121(2), pages 461-504, May.
  44. Ravi Bansal & Ivan Shaliastovich, 2013. "A Long-Run Risks Explanation of Predictability Puzzles in Bond and Currency Markets," Review of Financial Studies, Society for Financial Studies, vol. 26(1), pages 1-33.
  45. Jurek, Jakub W., 2014. "Crash-neutral currency carry trades," Journal of Financial Economics, Elsevier, vol. 113(3), pages 325-347.
  46. Craig Burnside, 2007. "The Forward Premium is Still a Puzzle," NBER Working Papers 13129, National Bureau of Economic Research, Inc.
  47. Pierre-Olivier Gourinchas & Helene Rey & Nicolas Govillot, 2010. "Exorbitant Privilege and Exorbitant Duty," IMES Discussion Paper Series 10-E-20, Institute for Monetary and Economic Studies, Bank of Japan.
  48. Hansen, Lars Peter & Hodrick, Robert J, 1980. "Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 829-53, October.
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