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Modeling the Currency Forward Risk Premium: Theory and Evidence

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Author Info
Ram Bhar (School of Banking and Finance, University of New South Wales)
Carl Chiarella () (School of Finance and Economics, University of Technology, Sydney)
Toan Pham (School of Banking and Finance, University of New South Wales)

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Abstract

There is a huge literature on the existence of risk premia in the foreign exchange markets and its influence in explaining the divergence between the forward exchange rate and the subsequently realised spot exchange rate. In this paper, we seek to model directly the risk premium as a mean-reverting diffusion process. This is done by making use of the spot-forward price relationship and assuming a geometric Brownian process for the spot exchange rate. We are able to obtain a stochastic differential equation system for the spot exchange rate, the forward exchange rate and the risk premium which we estimate using Kalman filtering techniques. The model is then applied to the French Franc/USD and Japanese Yen/USD exchange rates from 1 January 1990 to 31 December 1998. For both currencies our main findings show (I) the persistence of substantial positive time variation in the forward risk premium and its alternating regimes; and (ii) the presence of a term structure of the forward risk premia.

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Paper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 41.

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Date of creation: 01 Apr 2000
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Handle: RePEc:uts:rpaper:41

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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. Ostdiek, Barbara, 1998. "The world ex ante risk premium: an empirical investigation," Journal of International Money and Finance, Elsevier, vol. 17(6), pages 967-999, December. [Downloadable!] (restricted)
  2. 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)
  3. 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)
  4. Wolff, Christian C, 1987. "Forward Foreign Exchange Rates, Expected Spot Rates, and Premia: A Signal-Extraction Approach," CEPR Discussion Papers 189, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  5. John H. Cochrane, 1999. "New facts in finance," Economic Perspectives, Federal Reserve Bank of Chicago, issue Q III, pages 36-58. [Downloadable!]
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  6. Wolff, Christian C. P., 2000. "Measuring the forward foreign exchange risk premium: multi-country evidence from unobserved components models," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 10(1), pages 1-8, January. [Downloadable!] (restricted)
  7. Canova, Fabio, 1991. "An Empirical Analysis of Ex Ante Profits from Forward Speculation in Foreign Exchange Markets," The Review of Economics and Statistics, MIT Press, vol. 73(3), pages 489-96, August. [Downloadable!] (restricted)
  8. Canova, Fabio & Marrinan, Jane, 1993. "Profits, risk, and uncertainty in foreign exchange markets," Journal of Monetary Economics, Elsevier, vol. 32(2), pages 259-286, November. [Downloadable!] (restricted)
  9. Yangru Wu & Hua Zhang, 1997. "Forward premiums as unbiased predictors of future currency depreciation: a non-parametric analysis," Journal of International Money and Finance, Elsevier, vol. 16(4), pages 609-623, August. [Downloadable!] (restricted)
  10. Rene M. Stulz, 1994. "International Portfolio Choice and Asset Pricing: An Integrative Survey," NBER Working Papers 4645, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  11. Bakshi, Gurdip S & Naka, Atsuyuki, 1997. "Unbiasedness of the Forward Exchange Rates," The Financial Review, Eastern Finance Association, vol. 32(1), pages 145-62, February.
  12. Bekaert, Geert, 1994. "Exchange rate volatility and deviations from unbiasedness in a cash-in-advance model," Journal of International Economics, Elsevier, vol. 36(1-2), pages 29-52, February. [Downloadable!] (restricted)
  13. Nijman, Theo E & Palm, Franz C & Wolff, Christian C P, 1993. "Premia in Forward Foreign Exchange as Unobserved Components: A Note," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 361-65, July.
  14. Charles Engel, 1996. "The Forward Discount Anomaly and the Risk Premium: A Survey of Recent Evidence," NBER Working Papers 5312, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  15. Ramaprasad Bhar, Carl Chiarella, 1997. "Interest rate futures: estimation of volatility parameters in an arbitrage-free framework," Applied Mathematical Finance, Taylor and Francis Journals, vol. 4(4), pages 181-199, December. [Downloadable!] (restricted)
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  16. Baillie, Richard T. & Bollerslev, Tim, 1990. "A multivariate generalized ARCH approach to modeling risk premia in forward foreign exchange rate markets," Journal of International Money and Finance, Elsevier, vol. 9(3), pages 309-324, September. [Downloadable!] (restricted)
  17. Harvey, Andrew & Ruiz, Esther & Shephard, Neil, 1994. "Multivariate Stochastic Variance Models," Review of Economic Studies, Blackwell Publishing, vol. 61(2), pages 247-64, April. [Downloadable!] (restricted)
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  1. Prasad V. Bidarkota, 2005. "Risk Premia in Forward Foreign Exchange Markets: A Comparison of Signal Extraction and Regression Methods," Working Papers 0501, Florida International University, Department of Economics. [Downloadable!]
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