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Modeling the Currency Forward Risk Premium: Theory and Evidence

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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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  • Ram Bhar & Carl Chiarella & Toan Pham, 2000. "Modeling the Currency Forward Risk Premium: Theory and Evidence," Research Paper Series 41, Quantitative Finance Research Centre, University of Technology, Sydney.
    • Handle: RePEc:uts:rpaper:41
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    1. John H. Cochrane, 1999. "New facts in finance," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 23(Q III), pages 36-58.
    2. 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.
    3. Rene M. Stulz, 1994. "International Portfolio Choice and Asset Pricing: An Integrative Survey," NBER Working Papers 4645, National Bureau of Economic Research, Inc.
    4. Bakshi, Gurdip S & Naka, Atsuyuki, 1997. "Unbiasedness of the Forward Exchange Rates," The Financial Review, Eastern Finance Association, vol. 32(1), pages 145-162, February.
    5. 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.
    6. 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.
    7. Bernard Dumas, 1993. "Partial- Vs. General-Equilibrium Models of the International Capital Market," NBER Working Papers 4446, National Bureau of Economic Research, Inc.
    8. Wolff, Christian C, 1987. "Forward Exchange Rates and Expected Future Spot Rates," CEPR Discussion Papers 187, C.E.P.R. Discussion Papers.
    9. Ramaprasad Bhar & Carl Chiarella, 1997. "Interest rate futures: estimation of volatility parameters in an arbitrage-free framework," Applied Mathematical Finance, Taylor & Francis Journals, vol. 4(4), pages 181-199.
    10. 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.
    11. Harvey,Andrew C., 1991. "Forecasting, Structural Time Series Models and the Kalman Filter," Cambridge Books, Cambridge University Press, number 9780521405737, September.
    12. 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.
    13. 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 125-142, April-Jun.
    14. 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.
    15. Wolff, Christian C P, 1987. "Forward Foreign Exchange Rates, Expected Spot Rates, and Premia: A Signal-Extraction Approach," Journal of Finance, American Finance Association, vol. 42(2), pages 395-406, June.
    16. 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.
    17. 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 489-496, August.
    18. Andrew Harvey & Esther Ruiz & Neil Shephard, 1994. "Multivariate Stochastic Variance Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(2), pages 247-264.
    19. 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.
    20. Boudoukh, Jacob & Richardson, Matthew & Smith, Tom, 1993. "Is the ex ante risk premium always positive? *1: A new approach to testing conditional asset pricing models," Journal of Financial Economics, Elsevier, vol. 34(3), pages 387-408, December.
    21. 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 361-365, July.
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    Cited by:

    1. Zhiguang Wang & Prasad Bidarkota, 2012. "Risk premia in forward foreign exchange rates: a comparison of signal extraction and regression methods," Empirical Economics, Springer, vol. 42(1), pages 21-51, February.
    2. Kiani, Khurshid M., 2013. "Can signal extraction help predict risk premia in foreign exchange rates," Economic Modelling, Elsevier, vol. 33(C), pages 926-939.
    3. Sarantis, Nicholas, 2006. "Testing the uncovered interest parity using traded volatility, a time-varying risk premium and heterogeneous expectations," Journal of International Money and Finance, Elsevier, vol. 25(7), pages 1168-1186, November.

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