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Modeling Risk Premia in Forward Foreign Exchange Rates as Unobserved Components: The Model Identification Problem

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  • Aziz Chouikh
  • Abdelwahed Trabelsi

Abstract

Is an autoregressive moving average model for the unobserved forward risk premium component always identifiable? Is the signal extraction-based approach always feasible? In this paper, we point out a theoretical framework to shed the light on the statistical problem of model identification. We find out that whenever a model for the unobservable forward risk premium is unidentifiable, we identify a new class of functions that we call: the noise generating functions (Hereafter NGF). These functions circumvent the model identification problem and help us make insights on the noise variances. We demonstrate that a model for the risk premium in the forward exchange rate is not always identifiable and the signal extraction methodology is not always feasible. In addition, our theoretical statements are applied to the empirically evidenced models within the related literature.

Suggested Citation

  • Aziz Chouikh & Abdelwahed Trabelsi, 2014. "Modeling Risk Premia in Forward Foreign Exchange Rates as Unobserved Components: The Model Identification Problem," International Journal of Financial Research, International Journal of Financial Research, Sciedu Press, vol. 5(3), pages 119-135, July.
    • Handle: RePEc:jfr:ijfr11:v:5:y:2014:i:3:p:119-135
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    References listed on IDEAS

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    1. Nikolay Gospodinov, 2009. "A New Look at the Forward Premium Puzzle," Journal of Financial Econometrics, Oxford University Press, vol. 7(3), pages 312-338, Summer.
    2. Ansley, Craig F. & Spivey, W. Allen & Wrobleski, William J., 1977. "On the structure of moving average processes," Journal of Econometrics, Elsevier, vol. 6(1), pages 121-134, July.
    3. de Vries, Casper & von Hagen, Jurgen & Bernoth, Kerstin, 2010. "The Forward Premium Puzzle and Latent Factors Day by Day," CEPR Discussion Papers 7772, C.E.P.R. Discussion Papers.
    4. Nijman, T.E. & Palm, F.C. & Wolff, C.C.P., 1991. "Premia in forward foreign exchange as unobserved components," Other publications TiSEM f9309525-e1b8-46ad-8760-9, Tilburg University, School of Economics and Management.
    5. 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.
    6. Jacobs, Rodney L, 1982. "The Effect of Errors in Variables on Tests for a Risk Premium in Forward Exchange Rates," Journal of Finance, American Finance Association, vol. 37(3), pages 667-677, June.
    7. Ramaprasad Bhar & Carl Chiarella, 2009. "Inference on forward exchange rate risk premium: reviewing signal extraction methods," International Journal of Monetary Economics and Finance, Inderscience Enterprises Ltd, vol. 2(2), pages 115-125.
    8. Fama, Eugene F, 1991. "Efficient Capital Markets: II," Journal of Finance, American Finance Association, vol. 46(5), pages 1575-1617, December.
    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.
    10. Diko Pavel & Lawford Steve & Limpens Valerie, 2006. "Risk Premia in Electricity Forward Prices," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 10(3), pages 1-24, September.
    11. Djeutem, Edouard, 2014. "Model uncertainty and the Forward Premium Puzzle," Journal of International Money and Finance, Elsevier, vol. 46(C), pages 16-40.
    12. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    13. Cavaglia, Stefano M F G & Verschoor, Willem F C & Wolff, Christian C P, 1994. "On the Biasedness of Forward Foreign Exchange Rates: Irrationality or Risk Premia?," The Journal of Business, University of Chicago Press, vol. 67(3), pages 321-343, July.
    14. Boyer, Russell S & Adams, F Charles, 1988. "Forward Premia and Risk Premia in a Simple Model of Exchange Rate Determination," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 20(4), pages 633-644, November.
    15. Bernoth, Kerstin & de Vries, Casper G & von Hagen, Jürgen, 2010. "The Forward Premium Puzzle and Latent Factors Day by Day," CEPR Discussion Papers 7772, C.E.P.R. Discussion Papers.
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