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Tests of the foreign exchange risk premium using the expected second moments implied by option pricing

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  • Richard K. Lyons

Abstract

This paper applies a new method to investigate the foreign exchange risk premium. The method is new in the sense that it utilizes the time-varying second moment expectations implied by foreign currency option pricing. The vast empirical literature on the risk premium generally neglects the role of time-varying second moments, in spite of their importance in assessing risk-return tradeoffs. In fact, this importance is borne out in the data: time-varying expectations generate valuable new evidence regarding both unbiasedness in the forward rate and portfolio balance models. Moreover, the results suggest that previous tests which assume constant second moments involve serious misspecification errors. The results also highlight the unreliability of the portfolio balance effects of sterilized intervention, in spite of the quantitative importance of expected return differentials.

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  • Richard K. Lyons, 1986. "Tests of the foreign exchange risk premium using the expected second moments implied by option pricing," International Finance Discussion Papers 290, Board of Governors of the Federal Reserve System (U.S.).
    • Handle: RePEc:fip:fedgif:290
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    Cited by:

    1. Humpage, Owen F. & Osterberg, William P., 1992. "Intervention and the foreign exchange risk premium: An empirical investigation of daily effects," Global Finance Journal, Elsevier, vol. 3(1), pages 23-50.
    2. Juann H. Hung, 1995. "Intervention strategies and exchange rate volatility: a noise trading perspective," Research Paper 9515, Federal Reserve Bank of New York.
    3. David S. Bates, 1995. "Testing Option Pricing Models," NBER Working Papers 5129, National Bureau of Economic Research, Inc.
    4. repec:adr:anecst:y:1991:i:24:p:01 is not listed on IDEAS
    5. Hung, Juann H, 1997. "Intervention strategies and exchange rate volatility: a noise trading perspective," Journal of International Money and Finance, Elsevier, vol. 16(5), pages 779-793, September.
    6. Frankel, Jeffrey A., 1988. "Recent estimates of time-variation in the conditional variance and in the exchange risk premium," Journal of International Money and Finance, Elsevier, vol. 7(1), pages 115-125, March.
    7. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2015. "Wave function method to forecast foreign currencies exchange rates at ultra high frequency electronic trading in foreign currencies exchange markets," MPRA Paper 67470, University Library of Munich, Germany.
    8. W A Razzak, 1998. "The forward rate unbiasedness hypothesis in inflation-targeting regimes," Reserve Bank of New Zealand Discussion Paper Series G99/3, Reserve Bank of New Zealand, revised Aug 1999.
    9. 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.
    10. Tim Bollerslev & Ray Y. Chou & Narayanan Jayaraman & Kenneth F. Kroner - L, 1991. "es modéles ARCH en finance : un point sur la théorie et les résultats empiriques," Annals of Economics and Statistics, GENES, issue 24, pages 1-59.
    11. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    12. Shang-Jin Wei, 1991. "Anticipations of foreign exchange volatility and bid-ask spreads," International Finance Discussion Papers 409, Board of Governors of the Federal Reserve System (U.S.).
    13. Shang-Jin Wei & Jeffrey A. Frankel, 1991. "Are Option-Implied Forecasts of Exchange Rate Volatility Excessively Variable?," NBER Working Papers 3910, National Bureau of Economic Research, Inc.
    14. Szakmary, Andrew C. & Mathur, Ike, 1997. "Central bank intervention and trading rule profits in foreign exchange markets," Journal of International Money and Finance, Elsevier, vol. 16(4), pages 513-535, August.
    15. Martin Cincibuch & David Vavra, 2004. "Testing for the uncovered interest parity using distributions implied by FX options," Money Macro and Finance (MMF) Research Group Conference 2003 16, Money Macro and Finance Research Group.
    16. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    17. Aron Gereben, 2002. "Extracting market expectations from option prices: an application to over-the-counter New Zealand dollar options," Reserve Bank of New Zealand Discussion Paper Series DP2002/04, Reserve Bank of New Zealand.
    18. 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.
    19. Owen F. Humpage & William P. Osterberg, 1992. "New results on the impact of central-bank intervention on deviations from uncovered interest parity," Working Papers (Old Series) 9207, Federal Reserve Bank of Cleveland.

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    Foreign exchange; Prices;

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