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Affine term structure models for the foreign exchange risk premium

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  • Luca Benati

Abstract

This paper uses two affine term structure models from the Duffie-Kan class - a three-factor Cox-Ingersoll-Ross model, and a three-factor model in the spirit of Longstaff and Schwartz - to extract historical estimates of foreign exchange risk premia for the pound with respect to the US dollar. The term structures of interest rates for the two countries are estimated jointly, together with the dynamics of the nominal exchange rates between them, via maximum likelihood. The likelihood function is computed via the Kalman filter, and is maximised numerically with respect to unknown parameters. Particular attention is paid to the robustness of the results across models; to the overall (filter plus parameter) econometric uncertainty associated with risk premia estimates; and to the ability of estimated structures to replicate Fama's 'forward discount anomaly'. The paper's main results may be summarised as follows. First, risk premia estimates are not consistent across the two models. Second, both models fail to replicate the forward discount anomaly, with theoretical values of ? in the Fama regressions implied by estimated structures being consistently positive at all horizons from 1 to 12 months.

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Bibliographic Info

Paper provided by Bank of England in its series Bank of England working papers with number 291.

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Date of creation: Mar 2006
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Handle: RePEc:boe:boeewp:291

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  1. E.K. Berndt & B.H. Hall & R.E. Hall, 1974. "Estimation and Inference in Nonlinear Structural Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 4, pages 103-116 National Bureau of Economic Research, Inc.
  2. Andrew Ang & Monika Piazzesi, 2001. "A No-Arbitrage Vector Autoregression of Term Structure Dynamics with Macroeconomic and Latent Variables," NBER Working Papers 8363, National Bureau of Economic Research, Inc.
  3. Geert Bekaert & Robert J. Hodrick, 1991. "On Biases in the Measurement of Foreign Exchange Risk Premiums," NBER Working Papers 3861, National Bureau of Economic Research, Inc.
  4. Engel, Charles, 1996. "The forward discount anomaly and the risk premium: A survey of recent evidence," Journal of Empirical Finance, Elsevier, vol. 3(2), pages 123-192, June.
  5. David K. Backus & Silverio Foresi & Chris Telmer, . "Discrete time models of bond pricing," GSIA Working Papers 251, Carnegie Mellon University, Tepper School of Business.
  6. David K. Backus & Allan W. Gregory & Chris I. Telmer, 1990. "Accounting for Forward Rates in Markets for Foreign Currency," Working Papers 792, Queen's University, Department of Economics.
  7. Hamilton, James D., 1986. "A standard error for the estimated state vector of a state-space model," Journal of Econometrics, Elsevier, vol. 33(3), pages 387-397, December.
  8. Lewis, K.K., 1994. "Puzzles in international Financial Markets," Weiss Center Working Papers 94-7, Wharton School - Weiss Center for International Financial Research.
  9. Michael J. Brennan and Eduardo S. Schwartz., 1979. "A Continuous-Time Approach to the Pricing of Bonds," Research Program in Finance Working Papers 85, University of California at Berkeley.
  10. Hodrick, Robert & Vassalou, Maria, 2002. "Do we need multi-country models to explain exchange rate and interest rate and bond return dynamics?," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1275-1299, July.
  11. Leippold, Markus & Wu, Liuren, 2002. "Asset Pricing under the Quadratic Class," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(02), pages 271-295, June.
  12. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
  13. Hodrick, Robert J., 1989. "U.S. International capital flows: Perspectives from rational maximizing models," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 30(1), pages 231-288, January.
  14. Karen K. Lewis, 1994. "Puzzles in International Financial Markets," NBER Working Papers 4951, National Bureau of Economic Research, Inc.
  15. Lucas, Robert Jr., 1982. "Interest rates and currency prices in a two-country world," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 335-359.
  16. Modjtahedi, Bagher, 1991. "Multiple maturities and time-varying risk premia in forward exchange markets : An econometric analysis," Journal of International Economics, Elsevier, vol. 30(1-2), pages 69-86, February.
  17. Hai, Weike & Mark, Nelson C & Wu, Yangru, 1997. "Understanding Spot and Forward Exchange Rate Regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(6), pages 715-34, Nov.-Dec..
  18. de Jong, Frank & Santa-Clara, Pedro, 1999. "The Dynamics of the Forward Interest Rate Curve: A Formulation with State Variables," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(01), pages 131-157, March.
  19. 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.
  20. David K. Backus & Stanley E. Zin, 1994. "Reverse Engineering the Yield Curve," Working Papers 94-09, New York University, Leonard N. Stern School of Business, Department of Economics.
  21. 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.
  22. Harvey, Andrew & Ruiz, Esther & Sentana, Enrique, 1992. "Unobserved component time series models with Arch disturbances," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 129-157.
  23. David Backus & Silverio Foresi & Chris Telmer, 1996. "Affine Models of Currency Pricing," NBER Working Papers 5623, National Bureau of Economic Research, Inc.
  24. David K. Backus & Chris I. Telmer & Liuren Wu, 1999. "Design and Estimation of Affine Yield Models," GSIA Working Papers 2000-E17, Carnegie Mellon University, Tepper School of Business.
  25. Jan J J Groen & Ravi Balakrishnan, 2005. "Asset price based estimates of sterling exchange rate risk premia," Bank of England working papers 250, Bank of England.
  26. Brennan, Michael J. & Schwartz, Eduardo S., 1979. "A continuous time approach to the pricing of bonds," Journal of Banking & Finance, Elsevier, vol. 3(2), pages 133-155, July.
  27. Canova, Fabio & Ito, Takatoshi, 1991. "The Time-Series Properties of the Risk Premium in the Yen/Dollar Exchange Market," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(2), pages 125-42, April-Jun.
  28. Watson, Mark W. & Engle, Robert F., 1983. "Alternative algorithms for the estimation of dynamic factor, mimic and varying coefficient regression models," Journal of Econometrics, Elsevier, vol. 23(3), pages 385-400, December.
  29. Taylor, Mark P, 1988. "A DYMIMIC Model of Forward Foreign Exchange Risk, with Estimates for Three Major Exchange Rates," The Manchester School of Economic & Social Studies, University of Manchester, vol. 56(1), pages 55-68, March.
  30. David K. Backus, 2001. "Affine Term Structure Models and the Forward Premium Anomaly," Journal of Finance, American Finance Association, vol. 56(1), pages 279-304, 02.
  31. Qiang Dai & Kenneth J. Singleton, 2000. "Specification Analysis of Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 55(5), pages 1943-1978, October.
  32. Pearson, Neil D & Sun, Tong-Sheng, 1994. " Exploiting the Conditional Density in Estimating the Term Structure: An Application to the Cox, Ingersoll, and Ross Model," Journal of Finance, American Finance Association, vol. 49(4), pages 1279-1304, September.
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Cited by:
  1. Carmen Gloria Silva, 2010. "Forward premium puzzle and term structure of interest rates: the case of New Zealand," Working Papers Central Bank of Chile 570, Central Bank of Chile.
  2. Evžen Koèenda & Tigran Poghosyan, 2010. "Exchange Rate Risk in Central European Countries," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 60(1), pages 22-39, February.

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