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Forward rate unbiased hypothesis, risk premium and exchange rate expectations: estimates on Pakistan Rupee-US Dollar

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  • Waheed, Muhammad

Abstract

In this paper, forward market unbiasedness hypothesis (FRUH) is tested and its underline assumptions of rationally formed expectations and non existence of time varying risk premium is examined empirically in case of Rupee/US$. Taking in to account the non-stationarity of the spot and forward rates series, we tested this hypothesis by two approaches. First approach relates the changes in spot rates to the forward premium. The results overwhelmingly reject the hypothesis of forward rate unbiasedness hypothesis. In fact, the estimate is significantly negative and away from 1. This confirms the existence of forward discount anomaly or forward discount puzzle for 1-month forward market. Following the recent literature, we also tested forward rate unbiasedness hypothesis using the tests of cointegration. The result suggests the presence of the cointegration relation between spot and forward rates. However, it fails the restriction that this relation is (1,-1). This therefore implies that cointegration test too fail to accept the forward rate unbiasedness hypothesis. We also found that forward rate unbiased hypothesis fails due to fact that market’s expectation regarding exchange rate movements were not rational and also due to presence of time varying risk premium.

Suggested Citation

  • Waheed, Muhammad, 2009. "Forward rate unbiased hypothesis, risk premium and exchange rate expectations: estimates on Pakistan Rupee-US Dollar," MPRA Paper 33167, University Library of Munich, Germany, revised Jul 2010.
    • Handle: RePEc:pra:mprapa:33167
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    1. Francis, Bill B. & Hasan, Iftekhar & Hunter, Delroy M., 2002. "Emerging market liberalization and the impact on uncovered interest rate parity," Journal of International Money and Finance, Elsevier, vol. 21(6), pages 931-956, November.
    2. Frankel, Jeffrey & Poonawala, Jumana, 2010. "The forward market in emerging currencies: Less biased than in major currencies," Journal of International Money and Finance, Elsevier, vol. 29(3), pages 585-598, April.
    3. Barnhart, Scott W. & Szakmary, Andrew C., 1991. "Testing the Unbiased Forward Rate Hypothesis: Evidence on Unit Roots, Co-Integration, and Stochastic Coefficients," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(2), pages 245-267, June.
    4. Frankel, Jeffrey A & Froot, Kenneth A, 1987. "Using Survey Data to Test Standard Propositions Regarding Exchange Rate Expectations," American Economic Review, American Economic Association, vol. 77(1), pages 133-153, March.
    5. Hai, Weike & Mark, Nelson C & Wu, Yangru, 1997. "Understanding Spot and Forward Exchange Rate Regressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(6), pages 715-734, Nov.-Dec..
    6. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    7. Norrbin, Stefan C. & Reffett, Kevin L., 1996. "Exogeneity and forward rate unbiasedness," Journal of International Money and Finance, Elsevier, vol. 15(2), pages 267-274, April.
    8. Cornell, Bradford, 1977. "Spot rates, forward rates and exchange market efficiency," Journal of Financial Economics, Elsevier, vol. 5(1), pages 55-65, August.
    9. Stuart Landon & Constance E. Smith, 2003. "The Risk Premium, Exchange Rate Expectations, and the Forward Exchange Rate: Estimates for the Yen–Dollar Rate," Review of International Economics, Wiley Blackwell, vol. 11(1), pages 144-158, February.
    10. Frankel, Jeffrey A., 1982. "In search of the exchange risk premium: A six-currency test assuming mean-variance optimization," Journal of International Money and Finance, Elsevier, vol. 1(1), pages 255-274, January.
    11. Hakkio, Craig S. & Rush, Mark, 1989. "Market efficiency and cointegration: an application to the sterling and deutschemark exchange markets," Journal of International Money and Finance, Elsevier, vol. 8(1), pages 75-88, March.
    12. Luintel, K. B. & Paudyal, K., 1998. "Common stochastic trends between forward and spot exchange rates," Journal of International Money and Finance, Elsevier, vol. 17(2), pages 279-297, April.
    13. 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.
    14. Lewis, Karen K., 1988. "Testing the portfolio balance model: A multi-lateral approach," Journal of International Economics, Elsevier, vol. 24(1-2), pages 109-127, February.
    15. Mark P. Taylor & Lucio Sarno, 2001. "Official Intervention in the Foreign Exchange Market: Is It Effective and, If So, How Does It Work?," Journal of Economic Literature, American Economic Association, vol. 39(3), pages 839-868, September.
    16. Kenneth A. Froot & Jeffrey A. Frankel, 1989. "Forward Discount Bias: Is it an Exchange Risk Premium?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(1), pages 139-161.
    17. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    18. Bacchetta, Philippe & van Wincoop, Eric, 2005. "Rational Inattention: A Solution to the Forward Discount Puzzle," CEPR Discussion Papers 5261, C.E.P.R. Discussion Papers.
    19. Dominguez, Kathryn M & Frankel, Jeffrey A, 1993. "Does Foreign-Exchange Intervention Matter? The Portfolio Effect," American Economic Review, American Economic Association, vol. 83(5), pages 1356-1369, December.
    20. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    21. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    22. 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.
    23. Richard H. Clarida & Mark P. Taylor, 1997. "The Term Structure Of Forward Exchange Premiums And The Forecastability Of Spot Exchange Rates: Correcting The Errors," The Review of Economics and Statistics, MIT Press, vol. 79(3), pages 353-361, August.
    24. Chulho Jung & K. Doroodian & Robert Albarano, 1998. "The unbiased forward rate hypothesis: a re-examination," Applied Financial Economics, Taylor & Francis Journals, vol. 8(6), pages 567-575.
    25. 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.
    26. Froot, Kenneth A & Thaler, Richard H, 1990. "Foreign Exchange," Journal of Economic Perspectives, American Economic Association, vol. 4(3), pages 179-192, Summer.
    27. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
    28. Bansal, Ravi & Dahlquist, Magnus, 2000. "The forward premium puzzle: different tales from developed and emerging economies," Journal of International Economics, Elsevier, vol. 51(1), pages 115-144, June.
    29. Meese, Richard A. & Rogoff, Kenneth, 1983. "Empirical exchange rate models of the seventies : Do they fit out of sample?," Journal of International Economics, Elsevier, vol. 14(1-2), pages 3-24, February.
    30. Kenneth A. Froot & Jeffrey A. Frankel, 1986. "Interpreting Tests of Forward Discount Bias Using Survey Data on Exchange Rate Expectations," NBER Working Papers 1963, National Bureau of Economic Research, Inc.
    31. Levich, Richard M, 1989. "Is the Foreign Exchange Market Efficient?," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 5(3), pages 40-60, Autumn.
    32. Leiderman, Leonardo, 1980. "Macroeconometric testing of the rational expectations and structural neutrality hypotheses for the United States," Journal of Monetary Economics, Elsevier, vol. 6(1), pages 69-82, January.
    33. Bilson, John F O, 1981. "The "Speculative Efficiency" Hypothesis," The Journal of Business, University of Chicago Press, vol. 54(3), pages 435-451, July.
    34. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    35. Shinji Takagi, 1991. "Exchange Rate Expectations: A Survey of Survey Studies," IMF Staff Papers, Palgrave Macmillan, vol. 38(1), pages 156-183, March.
    36. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-193, January.
    37. Taylor, Mark P, 1989. "Expectations, Risk and Uncertainty in the Foreign Exchange Market: Some Results Based on Survey Data," The Manchester School of Economic & Social Studies, University of Manchester, vol. 57(2), pages 142-153, June.
    38. Jeffrey A. Frankel & Kenneth A. Froot, 1985. "Using Survey Data to Test Some Standard Propositions Regarding Exchange Rate Expectations," NBER Working Papers 1672, National Bureau of Economic Research, Inc.
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    More about this item

    Keywords

    FRUH; Exchange rate; Expectations;
    All these keywords.

    JEL classification:

    • F4 - International Economics - - Macroeconomic Aspects of International Trade and Finance
    • F3 - International Economics - - International Finance

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