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The forward premium anomaly: statistical artefact or economic puzzle? New evidence from robust tests

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  • Alex Maynard

Abstract

Recent literature has questioned statistical inference in predictive regressi on with persistent regressors, suggesting a possible explanation for puzzles suc h as the forward premium anomaly. We therefore revisit this puzzle using three a lternative econometric methods known to provide reliable inference in the presen ce of persistent conditioning variables. While they provide less evidence agains t forward rate unbiasedness than traditional predictive regression tests, we sti ll reject using at least one method for all six currencies. Thus, while the econ ometric problems inherent in predictive regression likely play a role in this an omaly, we are left with an economic puzzle even after accounting for their influence.

Suggested Citation

  • Alex Maynard, 2006. "The forward premium anomaly: statistical artefact or economic puzzle? New evidence from robust tests," Canadian Journal of Economics, Canadian Economics Association, vol. 39(4), pages 1244-1281, November.
  • Handle: RePEc:cje:issued:v:39:y:2006:i:4:p:1244-1281
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    1. Rossi, Barbara, 2005. "Expectations Hypotheses Tests and Predictive Regressions at Long Horizons," Working Papers 05-03, Duke University, Department of Economics.
    2. Lewis, Karen K., 1995. "Puzzles in international financial markets," Handbook of International Economics, in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 37, pages 1913-1971, Elsevier.
    3. Kyongwook Choi & Eric Zivot, 2005. "Long Memory and Structural Breaks in the Forward Discount: An Empirical Investigation," Working Papers UWEC-2005-02-FC, University of Washington, Department of Economics, revised Feb 2005.
    4. Alex Maynard, 2003. "Testing for Forward-Rate Unbiasedness: On Regression in Levels and in Returns," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 313-327, May.
    5. Yangru Wu & Hua Zhang, 1997. "Forward premiums as unbiased predictors of future currency depreciation: a non-parametric analysis," Journal of International Money and Finance, Elsevier, vol. 16(4), pages 609-623, August.
    6. Geert Bekaert & Robert J. Hodrick, 2001. "Expectations Hypotheses Tests," Journal of Finance, American Finance Association, vol. 56(4), pages 1357-1394, August.
    7. 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.
    8. Markku Lanne, 2002. "Testing The Predictability Of Stock Returns," The Review of Economics and Statistics, MIT Press, vol. 84(3), pages 407-415, August.
    9. Maynard, Alex & Shimotsu, Katsumi, 2009. "Covariance-Based Orthogonality Tests For Regressors With Unknown Persistence," Econometric Theory, Cambridge University Press, vol. 25(1), pages 63-116, February.
    10. Hodrick, Robert J. & Srivastava, Sanjay, 1986. "The covariation of risk premiums and expected future spot exchange rates," Journal of International Money and Finance, Elsevier, vol. 5(1, Supple), pages 5-21, March.
    11. Campbell, Bryan & Dufour, Jean-Marie, 1997. "Exact Nonparametric Tests of Orthogonality and Random Walk in the Presence of a Drift Parameter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 151-173, February.
    12. Newbold, Paul & Wohar, Mark E. & Rayner, Tony & Kellard, Neil & Ennew, Christine, 1998. "Two puzzles in the analysis of foreign exchange market efficiency," International Review of Financial Analysis, Elsevier, vol. 7(2), pages 95-111.
    13. Walter Torous & Rossen Valkanov & Shu Yan, 2004. "On Predicting Stock Returns with Nearly Integrated Explanatory Variables," The Journal of Business, University of Chicago Press, vol. 77(4), pages 937-966, October.
    14. Crowder, William J., 1995. "Covered interest parity and international capital market efficiency," International Review of Economics & Finance, Elsevier, vol. 4(2), pages 115-132.
    15. Richard Roll & Shu Yan, 2000. "An explanation of the forward premium ‘puzzle’," European Financial Management, European Financial Management Association, vol. 6(2), pages 121-148, June.
    16. Polk, Christopher & Thompson, Samuel & Vuolteenaho, Tuomo, 2006. "Cross-sectional forecasts of the equity premium," Journal of Financial Economics, Elsevier, vol. 81(1), pages 101-141, July.
    17. Cornell, Bradford, 1989. "The impact of data errors on measurement of the foreign exchange risk premium," Journal of International Money and Finance, Elsevier, vol. 8(1), pages 147-157, March.
    18. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    19. Lewis, Karen K, 1989. "Changing Beliefs and Systematic Rational Forecast Errors with Evidence from Foreign Exchange," American Economic Review, American Economic Association, vol. 79(4), pages 621-636, September.
    20. Martin D. D. Evans & Karen K. Lewis, 2017. "Do Long-Term Swings in the Dollar Affect Estimates of the Risk Premia?," World Scientific Book Chapters, in: Studies in Foreign Exchange Economics, chapter 3, pages 59-99, World Scientific Publishing Co. Pte. Ltd..
    21. Choi, Kyongwook & Zivot, Eric, 2007. "Long memory and structural changes in the forward discount: An empirical investigation," Journal of International Money and Finance, Elsevier, vol. 26(3), pages 342-363, April.
    22. Baillie, Richard T. & Bollerslev, Tim, 2000. "The forward premium anomaly is not as bad as you think," Journal of International Money and Finance, Elsevier, vol. 19(4), pages 471-488, August.
    23. Gregory Mankiw, N. & Shapiro, Matthew D., 1986. "Do we reject too often? : Small sample properties of tests of rational expectations models," Economics Letters, Elsevier, vol. 20(2), pages 139-145.
    24. McCallum, Bennett T., 1994. "A reconsideration of the uncovered interest parity relationship," Journal of Monetary Economics, Elsevier, vol. 33(1), pages 105-132, February.
    25. 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.
    26. Modjtahedi, Bagher, 1991. "Multiple maturities and time-varying risk premia in forward exchange markets : An econometric analysis," Journal of International Economics, Elsevier, vol. 30(1-2), pages 69-86, February.
    27. 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.
    28. Liu, Wei & Maynard, Alex, 2005. "Testing forward rate unbiasedness allowing for persistent regressors," Journal of Empirical Finance, Elsevier, vol. 12(5), pages 613-628, December.
    29. Backus, David K & Gregory, Allan W & Telmer, Chris I, 1993. "Accounting for Forward Rates in Markets for Foreign Currency," Journal of Finance, American Finance Association, vol. 48(5), pages 1887-1908, December.
    30. Michael Jansson & Marcelo J. Moreira, 2006. "Optimal Inference in Regression Models with Nearly Integrated Regressors," Econometrica, Econometric Society, vol. 74(3), pages 681-714, May.
    31. Stambaugh, Robert F., 1999. "Predictive regressions," Journal of Financial Economics, Elsevier, vol. 54(3), pages 375-421, December.
    32. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    33. Hodrick, Robert J., 1989. "U.S. International capital flows: Perspectives from rational maximizing models," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 30(1), pages 231-288, January.
    34. Campbell, Bryan & Dufour, Jean-Marie, 1995. "Exact Nonparametric Orthogonality and Random Walk Tests," The Review of Economics and Statistics, MIT Press, vol. 77(1), pages 1-16, February.
    35. Baillie, Richard T & Bollerslev, Tim, 1994. "The long memory of the forward premium," Journal of International Money and Finance, Elsevier, vol. 13(5), pages 565-571, October.
    36. 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.
    37. Goodhart, Charles A E & McMahon, Patrick C & Ngama, Yerima L, 1997. "Why Does the Spot-Forward Discount Fail to Predict Changes in Future Spot Rates," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 2(2), pages 121-129, April.
    38. George Sakoulis & Eric Zivot, 2000. "Time-Variation and Structural Change in the Forward Discount: Implications for the Forward Rate Unbiasedness Hypothesis," Econometric Society World Congress 2000 Contributed Papers 1583, Econometric Society.
    39. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    40. Elise Coudin & Jean-Marie Dufour, 2009. "Finite-sample distribution-free inference in linear median regressions under heteroscedasticity and non-linear dependence of unknown form," Econometrics Journal, Royal Economic Society, vol. 12(s1), pages 19-49, January.
    41. 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).
    42. Peter Christoffersen & Francis X. Diebold, 2002. "Financial Asset Returns, Market Timing, and Volatility Dynamics," CIRANO Working Papers 2002s-02, CIRANO.
    43. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    44. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    45. Guy Meredith & Menzie D. Chinn, 1998. "Long-Horizon Uncovered Interest Rate Parity," NBER Working Papers 6797, National Bureau of Economic Research, Inc.
    46. Crowder, William J, 1994. "Foreign exchange market efficiency and common stochastic trends," Journal of International Money and Finance, Elsevier, vol. 13(5), pages 551-564, October.
    47. Nabeya, Seiji & Sørensen, Bent E., 1994. "Asymptotic Distributions of the Least-Squares Estimators and Test Statistics in the Near Unit Root Model with Non-Zero Initial Value and Local Drift and Trend," Econometric Theory, Cambridge University Press, vol. 10(5), pages 937-966, December.
    48. Alex Maynard & Peter C. B. Phillips, 2001. "Rethinking an old empirical puzzle: econometric evidence on the forward discount anomaly," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(6), pages 671-708.
    49. Mark, Nelson C., 1985. "On time varying risk premia in the foreign exchange market: An econometric analysis," Journal of Monetary Economics, Elsevier, vol. 16(1), pages 3-18, July.
    50. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    51. Jansson, Michael, 2002. "Consistent Covariance Matrix Estimation For Linear Processes," Econometric Theory, Cambridge University Press, vol. 18(6), pages 1449-1459, December.
    52. Valkanov, Rossen, 2003. "Long-horizon regressions: theoretical results and applications," Journal of Financial Economics, Elsevier, vol. 68(2), pages 201-232, May.
    53. Cavanagh, Christopher L. & Elliott, Graham & Stock, James H., 1995. "Inference in Models with Nearly Integrated Regressors," Econometric Theory, Cambridge University Press, vol. 11(5), pages 1131-1147, October.
    54. Barbara Rossi, 2007. "Expectations hypotheses tests at Long Horizons," Econometrics Journal, Royal Economic Society, vol. 10(3), pages 554-579, November.
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    2. Kellard, Neil & Sarantis, Nicholas, 2008. "Can exchange rate volatility explain persistence in the forward premium?," Journal of Empirical Finance, Elsevier, vol. 15(4), pages 714-728, September.
    3. C. Emre Alper & Oya Pinar Ardic & Salih Fendoglu, 2009. "The Economics Of The Uncovered Interest Parity Condition For Emerging Markets," Journal of Economic Surveys, Wiley Blackwell, vol. 23(1), pages 115-138, February.
    4. Hanno Lustig & Nikolai Roussanov & Adrien Verdelhan, 2011. "Common Risk Factors in Currency Markets," The Review of Financial Studies, Society for Financial Studies, vol. 24(11), pages 3731-3777.
    5. Dietmar Bauer & Alex Maynard, 2010. "Persistence-robust Granger causality testing," Working Papers 1011, University of Guelph, Department of Economics and Finance.
    6. Hanno Lustig & Adrien Verdelhan, 2009. "Comment on "Carry Trades and Currency Crashes"," NBER Chapters, in: NBER Macroeconomics Annual 2008, Volume 23, pages 361-384, National Bureau of Economic Research, Inc.
    7. Maynard, Alex & Shimotsu, Katsumi, 2009. "Covariance-Based Orthogonality Tests For Regressors With Unknown Persistence," Econometric Theory, Cambridge University Press, vol. 25(1), pages 63-116, February.
    8. Liu, Wei & Maynard, Alex, 2005. "Testing forward rate unbiasedness allowing for persistent regressors," Journal of Empirical Finance, Elsevier, vol. 12(5), pages 613-628, December.
    9. Bauer, Dietmar & Maynard, Alex, 2012. "Persistence-robust surplus-lag Granger causality testing," Journal of Econometrics, Elsevier, vol. 169(2), pages 293-300.
    10. Lafuente, Juan A. & Pérez, Rafaela & Ruiz, Jesús, 2016. "Monetary policy regimes and the forward bias for foreign exchange," Journal of Economics and Business, Elsevier, vol. 85(C), pages 13-28.
    11. Derek Bond & Michael Harrison & Niall Hession & Edward O'Brien, 2010. "Nonlinearity as an explanation of the forward exchange rate anomaly," Applied Economics Letters, Taylor & Francis Journals, vol. 17(13), pages 1237-1239.
    12. Seongman Moon & Carlos Velasco, 2011. "The Forward Discount Puzzle: Identi cation of Economic Assumptions," Working Papers 1112, Nam Duck-Woo Economic Research Institute, Sogang University (Former Research Institute for Market Economy).
    13. Norman C. Miller, 2014. "Exchange Rate Economics," Books, Edward Elgar Publishing, number 14981.
    14. Snaith, Stuart & Coakley, Jerry & Kellard, Neil, 2013. "Does the forward premium puzzle disappear over the horizon?," Journal of Banking & Finance, Elsevier, vol. 37(9), pages 3681-3693.
    15. Fu, Hsuan & Luger, Richard, 2022. "Multiple testing of the forward rate unbiasedness hypothesis across currencies," Journal of Empirical Finance, Elsevier, vol. 68(C), pages 232-245.

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    JEL classification:

    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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