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Affine Models of Currency Pricing

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  • David Backus
  • Silverio Foresi
  • Chris Telmer

Abstract

Perhaps the most puzzling feature of currency prices is the tendency for high interest rate currencies to appreciate, when the expectations hypothesis suggests the reverse. Some have attributed this forward premium anomaly to a time-varying risk premium, but theory has been largely unsuccessful in producing a risk premium with the requisite properties. We characterize the risk premium in a general arbitrage-free setting and describe the features a theory must have to account for the anomaly. In affine models, the anomaly requires either that state variables have asymmetric effects on state prices in different currencies or that we abandon the common requirement that interest rates be strictly positive.

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Bibliographic Info

Paper provided by New York University, Leonard N. Stern School of Business- in its series New York University, Leonard N. Stern School Finance Department Working Paper Seires with number 96-9.

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Date of creation: Apr 1996
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Handle: RePEc:fth:nystfi:96-9

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Postal: U.S.A.; New York University, Leonard N. Stern School of Business, Department of Economics . 44 West 4th Street. New York, New York 10012-1126
Phone: (212) 998-0100
Web page: http://w4.stern.nyu.edu/finance/
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  1. Gurdip S. Bakshi & Zhiwu Chen, . "Equilibrium Valuation of Foreign Exchange Claims," Research in Financial Economics 9510, Ohio State University.
  2. Bekaert, G.R.J. & Hodrick, R. & Marshall, D., 1997. "The implications of first-order risk aversion for asset market risk premiums," Discussion Paper 1997-07, Tilburg University, Center for Economic Research.
  3. 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.
  4. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-62, April.
  5. Bekaert, Geert, 1995. "The Time Variation of Expected Returns and Volatility in Foreign-Exchange Markets," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(4), pages 397-408, October.
  6. Bossaerts, Peter & Hillion, Pierre, 1991. "Market Microstructure Effects of Government Intervention in the Foreign Exchange Market," Review of Financial Studies, Society for Financial Studies, vol. 4(3), pages 513-41.
  7. Robert P. Flood & Andrew K. Rose, 1994. "Fixes: Of The Forward Discount Puzzle," NBER Working Papers 4928, National Bureau of Economic Research, Inc.
  8. Amin, Kaushik I. & Jarrow, Robert A., 1991. "Pricing foreign currency options under stochastic interest rates," Journal of International Money and Finance, Elsevier, vol. 10(3), pages 310-329, September.
  9. David K. Backus & Stanley E. Zin, 1994. "Reverse Engineering the Yield Curve," NBER Working Papers 4676, National Bureau of Economic Research, Inc.
  10. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
  11. Mark, Nelson C., 1988. "Time-varying betas and risk premia in the pricing of forward foreign exchange contracts," Journal of Financial Economics, Elsevier, vol. 22(2), pages 335-354, December.
  12. Charles Engel, 1995. "The Forward Discount Anomaly and the Risk Premium: A Survey of Recent Evidence," NBER Working Papers 5312, National Bureau of Economic Research, Inc.
  13. Jeffrey A. Frankel & Charles Engel, 1982. "Do Asset-Demand Functions Optimize over the Mean and Variance of Real Returns? A Six-Currency Test," NBER Working Papers 1051, National Bureau of Economic Research, Inc.
  14. Cumby, Robert E., 1988. "Is it risk? : Explaining deviations from uncovered interest parity," Journal of Monetary Economics, Elsevier, vol. 22(2), pages 279-299, September.
  15. Domowitz, Ian & Hakkio, Craig S., 1985. "Conditional variance and the risk premium in the foreign exchange market," Journal of International Economics, Elsevier, vol. 19(1-2), pages 47-66, August.
  16. Canova, Fabio & Marrinan, Jane, 1995. "Predicting excess returns in financial markets," European Economic Review, Elsevier, vol. 39(1), pages 35-69, January.
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