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Premia in Forward Foreign Exchange as Unobserved Components: A Note

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  • Nijman, Theo E
  • Palm, Franz C
  • Wolff, Christian C P

Abstract

We reconsider the signal-extraction approach to measuring premia in the pricing of forward foreign exchange, put forward by Wolff, in which the difference between the forward rate and the associated future spot rate is modeled as an autoregressive moving average (ARMA) model for the risk premium buried in a white-noise forecast error. We point out that an ARMA model for the risk premium is not always identifiable from information on the difference between the forward rate and the future spot rate only. We present solutions to the problem of identification and show how the model for the risk premium can be estimated in a direct way, provided that the identification problem is solved. For reason of comparison, we use the series analyzed by Wolff to estimate the models for risk premia. The results confirm the earlier finding that premia in forward exchange exhibit a certain degree of persistence over time.

Suggested Citation

  • 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.
    • Handle: RePEc:bes:jnlbes:v:11:y:1993:i:3:p:361-65
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    Citations

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    Cited by:

    1. Mun, Kyung-Chun & Morgan, George Emir, 2003. "Risk premia on foreign exchange: a direct approach," Journal of Multinational Financial Management, Elsevier, vol. 13(3), pages 231-250, July.
    2. J. D. Byers & D. A. Peel, 2001. "Volatility persistence in asset markets: long memory in high/low prices," Applied Financial Economics, Taylor & Francis Journals, vol. 11(3), pages 253-260.
    3. 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.
    4. Naka, Atsuyuki & Whitney, Gerald, 1995. "The unbiased forward rate hypothesis re-examined," Journal of International Money and Finance, Elsevier, vol. 14(6), pages 857-867, December.
    5. Groen, Jan J.J. & Balakrishnan, Ravi, 2006. "Asset price based estimates of sterling exchange rate risk premia," Journal of International Money and Finance, Elsevier, vol. 25(1), pages 71-92, February.
    6. Lothian, James R. & Koedijk, Kees & Mahieu, Ronald & Campbell, Rachel, 2007. "Irving Fisher, Expectational Errors, and the UIP Puzzle," CEPR Discussion Papers 6294, C.E.P.R. Discussion Papers.
    7. 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.
    8. Bams, Dennis & Walkowiak, Kim & Wolff, Christian C. P., 2004. "More evidence on the dollar risk premium in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 23(2), pages 271-282, March.
    9. Kiani, Khurshid M., 2013. "Can signal extraction help predict risk premia in foreign exchange rates," Economic Modelling, Elsevier, vol. 33(C), pages 926-939.
    10. 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.
    11. Koning, Camiel de & Straetmans, Stefan, 1998. "Time varying forex market inefficiency," Serie Research Memoranda 0063, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    12. 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.
    13. Nath, Golaka, 2013. "The Spot Forward Exchange Rate Relation in Indian Foreign Exchange Market - An Analysis," MPRA Paper 51591, University Library of Munich, Germany.
    14. Aziz Chouikh & Abdelwahed Trabelsi, 2014. "The Determinants of Risk Premia in Forward Foreign Exchange (FX) Markets," International Journal of Financial Research, International Journal of Financial Research, Sciedu Press, vol. 5(2), pages 19-28, April.
    15. Adrian, Tobias & Etula, Erkko & Groen, Jan J.J., 2011. "Financial amplification of foreign exchange risk premia," European Economic Review, Elsevier, vol. 55(3), pages 354-370, April.
    16. Christian Wolff, 2000. "Forward foreign exchange rates and expected future spot rates," Applied Financial Economics, Taylor & Francis Journals, vol. 10(4), pages 371-377.
    17. TAKAGI Shinji & ESAKA Taro, 2001. "Risk Premiums and Exchange Rate Expectations: A Reassessment of the So-Called Dollar Peg Policies of Crisis East Asian Countries, 1994-97," ESRI Discussion paper series 003, Economic and Social Research Institute (ESRI).

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