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Modeling the Currency Forward Risk Premium: Theory and Evidence

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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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    13. 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.
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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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