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Has Nonlinearity Resolved The A Nomaly Of Unit Root Behaviour In Forward Discount ? New Empirical Evidence

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  • Aidil Rizal SHAHRIN

    (Department of Finance & Banking, Faculty of Business & Accountancy, University of Malaya)

Abstract

In this study we analyse the issue of mean reversion in forward discount based on nonlinear framework for seven currencies. Compared to previous study, we apply a novel approach of a threshold regression (TAR) and followed by nonlinear unit root tests. This approach disentangles tbodhe issue of nonlinearity and nonstationarity in forward discount. After applying nonlinearity test, we found evidence of nonlinearities in five out of seven currencies for the forward discounts. Notably, it is found that forward discount behaves as unit root in a band and becomes mean reverting outside the band. This explains the mixed findings in earlier studies due to general assumption of linearity in forward discount.

Suggested Citation

  • Aidil Rizal SHAHRIN, 2015. "Has Nonlinearity Resolved The A Nomaly Of Unit Root Behaviour In Forward Discount ? New Empirical Evidence," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 70-80, March.
    • Handle: RePEc:rjr:romjef:v::y:2015:i:1:p:70-80
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    1. Kilian, Lutz & Taylor, Mark P., 2003. "Why is it so difficult to beat the random walk forecast of exchange rates?," Journal of International Economics, Elsevier, vol. 60(1), pages 85-107, May.
    2. Clarida, Richard H. & Sarno, Lucio & Taylor, Mark P. & Valente, Giorgio, 2003. "The out-of-sample success of term structure models as exchange rate predictors: a step beyond," Journal of International Economics, Elsevier, vol. 60(1), pages 61-83, May.
    3. Obstfeld, Maurice & Taylor, Alan M., 1997. "Nonlinear Aspects of Goods-Market Arbitrage and Adjustment: Heckscher's Commodity Points Revisited," Journal of the Japanese and International Economies, Elsevier, vol. 11(4), pages 441-479, December.
    4. Basci Erdem & Caner Mehmet, 2005. "Are Real Exchange Rates Nonlinear or Nonstationary? Evidence from a New Threshold Unit Root Test," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(4), pages 1-21, December.
    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. Sarno,Lucio & Taylor,Mark P., 2003. "The Economics of Exchange Rates," Cambridge Books, Cambridge University Press, number 9780521485845, October.
    7. Frédérique Bec & Mélika Ben Salem & Ronald MacDonald, 2006. "Real exchange rates and real interest rates : a nonlinear perspective," Recherches économiques de Louvain, De Boeck Université, vol. 72(2), pages 177-194.
    8. 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.
    9. Bruce E. Hansen, 2001. "The New Econometrics of Structural Change: Dating Breaks in U.S. Labour Productivity," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 117-128, Fall.
    10. Sakoulis, Georgios & Zivot, Eric & Choi, Kyongwook, 2010. "Structural change in the forward discount: Implications for the forward rate unbiasedness hypothesis," Journal of Empirical Finance, Elsevier, vol. 17(5), pages 957-966, December.
    11. 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.
    12. 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..
    13. Baum, Christopher F. & Barkoulas, John T. & Caglayan, Mustafa, 2001. "Nonlinear adjustment to purchasing power parity in the post-Bretton Woods era," Journal of International Money and Finance, Elsevier, vol. 20(3), pages 379-399, June.
    14. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    15. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
    16. Sarno, Lucio & Taylor, Mark P. & Chowdhury, Ibrahim, 2004. "Nonlinear dynamics in deviations from the law of one price: a broad-based empirical study," Journal of International Money and Finance, Elsevier, vol. 23(1), pages 1-25, February.
    17. Taylor, Mark P. & Peel, David A., 2000. "Nonlinear adjustment, long-run equilibrium and exchange rate fundamentals," Journal of International Money and Finance, Elsevier, vol. 19(1), pages 33-53, February.
    18. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," The Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-180.
    19. 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.
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    More about this item

    Keywords

    forward discount; threshold autoregression (TAR); forward bias puzzle; efficiency;
    All these keywords.

    JEL classification:

    • F30 - International Economics - - International Finance - - - General
    • 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
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods

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