This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

Affine term structure models for the foreign exchange risk premium

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Luca Benati

Additional information is available for the following registered author(s):

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.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.bankofengland.co.uk/publications/workingpapers/wp291.pdf
File Format: application/pdf
File Function:
Download Restriction: no

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

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length:
Date of creation:
Date of revision:
Handle: RePEc:boe:boeewp:291

Contact details of provider:
Postal: Publications Group Bank of England Threadneedle Street London EC2R 8AH
Phone: +44 (0)171 601 4030
Fax: +44 (0)171 601 5196
Email:
Web page: http://www.bankofengland.co.uk/
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Publications Group).

Related research
Keywords:

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. Markus Leippold & Liuren Wu, 2002. "Asset Pricing Under The Quadratic Class," Finance 0207015, EconWPA. [Downloadable!]
    Other versions:
  3. David K. Backus & Chris I. Telmer & Liuren Wu, 1999. "Design and Estimation of Affine Yield Models," GSIA Working Papers 5, Carnegie Mellon University, Tepper School of Business. [Downloadable!]
    Other versions:
  4. 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. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Groen, Jan J.J. & Balakrishnan, Ravi, 2006. "Asset price based estimates of sterling exchange rate risk premia," Journal of International Money and Finance, Elsevier, vol. 25(1), pages 71-92, February. [Downloadable!] (restricted)
    Other versions:
  7. 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. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
  9. Bekaert, Geert & Hodrick, Robert J., 1993. "On biases in the measurement of foreign exchange risk premiums," Journal of International Money and Finance, Elsevier, vol. 12(2), pages 115-138, April. [Downloadable!] (restricted)
    Other versions:
  10. Backus, David K & Gregory, Allan W & Telmer, Chris I, 1993. " Accounting for Forward Rates in Markets for Foreign Currency," Journal of Finance, American Finance Association, vol. 48(5), pages 1887-1908, December. [Downloadable!] (restricted)
    Other versions:
  11. Lewis, K.K., 1994. "Puzzles in international Financial Markets," Weiss Center Working Papers 94-7, Wharton School - Weiss Center for International Financial Research.
  12. 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.
  13. David K. Backus & Stanley E. Zin, 1994. "Reverse Engineering the Yield Curve," NBER Working Papers 4676, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  14. 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. [Downloadable!] (restricted)
  15. 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. [Downloadable!]
  16. 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. [Downloadable!] (restricted)
  17. 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. [Downloadable!] (restricted)
  18. Karen K. Lewis, 1994. "Puzzles in International Financial Markets," NBER Working Papers 4951, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  19. David Backus & Silverio Foresi & Chris Telmer, 1998. "Discrete-Time Models of Bond Pricing," NBER Working Papers 6736, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  20. 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, Blackwell Publishing, vol. 56(1), pages 55-68, March.
  21. 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. [Downloadable!] (restricted)
  22. 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. [Downloadable!]
  23. 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.. [Downloadable!]
  24. 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. [Downloadable!] (restricted)
  25. 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. [Downloadable!] (restricted)
    Other versions:
  26. David Backus & Silverio Foresi & Chris Telmer, 1996. "Affine Models of Currency Pricing," NBER Working Papers 5623, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  27. 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. [Downloadable!] (restricted)
    Other versions:
  28. 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. [Downloadable!] (restricted)
    Other versions:
  29. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November. [Downloadable!] (restricted)
  30. 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. [Downloadable!] (restricted)
Full references

Statistics
Access and download statistics

Did you know? IDEAS was sponsored from 1997 to 2002 by the Université du Québec à Montréal.

This page was last updated on 2009-11-14.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.