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Use of (Time-Domain) Vector Autoregressions to Test Uncovered Interest Parity

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  • Ito, Takatoshi

Abstract

In this paper, a vector autoregression model (VAR) is proposed in order to test uncovered interest parity (UIP) in the foreign exchange market. Consider a VAR system of the spot exchange rate (yen/dollar), the domestic (US) interest rate and the foreign (Japanese) interest rate, describing the interdependence of the domestic and international financia lmarkets. Uncovered interest parity is stated as a null hypothesis that the current difference between the two interest rates is equal to the difference between the expected future (log of) exchange rate and the (log of) current spot exchange rate. Note that the VAR system will yield the expected future spot exchange rate as a k-step ahead unconditional prediction. Hence, the null hypothesis is stated as nonlinear cross-equational restrictions for the three-equation VAR system. Then UIP is tested by the Wald test between the unrestricted and restricted systems. A test of UIP with a maintained hypothesis of covered interest parity, becomes a hypothesis test of efficiency without risk premium, that is,the forward exchange rate isthe unbiased predictor of the future spot exchange rate, and information is efficiently used in its prediction. Our results are compared to the efficiency test with a single equation using the Hansen-Hodrick procedure for the same data set.
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Suggested Citation

  • Ito, Takatoshi, 1988. "Use of (Time-Domain) Vector Autoregressions to Test Uncovered Interest Parity," The Review of Economics and Statistics, MIT Press, vol. 70(2), pages 296-305, May.
    • Handle: RePEc:tpr:restat:v:70:y:1988:i:2:p:296-305
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    Cited by:

    1. Ito Takatoshi & Okina Kunio & Teranishi Juro, 1993. "News and the Dollar/Yen Exchange Rate, 1931-1933: The End of the Gold Standard, Imperialism, and the Great Depression," Journal of the Japanese and International Economies, Elsevier, vol. 7(2), pages 107-131, June.
    2. Jeffrey A. Frankel., 1992. "The Evolving Japanese Financial System, and the Cost of Capital," Center for International and Development Economics Research (CIDER) Working Papers C92-002, University of California at Berkeley.
    3. Frankel, Jeffrey A. & Froot, Kenneth A., 1987. "Short-term and long-term expectations of the yen/dollar exchange rate: Evidence from survey data," Journal of the Japanese and International Economies, Elsevier, vol. 1(3), pages 249-274, September.
    4. 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.
    5. Jeffrey A. Frankel, 1993. "Is Japan Creating a Yen Bloc in East Asia and the Pacific?," NBER Chapters, in: Regionalism and Rivalry: Japan and the United States in Pacific Asia, pages 53-88, National Bureau of Economic Research, Inc.
    6. Ito, Takatoshi, 1990. "Foreign Exchange Rate Expectations: Micro Survey Data," American Economic Review, American Economic Association, vol. 80(3), pages 434-449, June.
    7. V. Vance Roley, 1986. "U.S. Monetary Policy Regimes and U.S.-Japan Financial Relations," NBER Working Papers 1858, National Bureau of Economic Research, Inc.
    8. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    9. Ito, Takatoshi & Roley, V. Vance, 1987. "News from the U.S. and Japan : Which moves the yen/dollar exchange rate?," Journal of Monetary Economics, Elsevier, vol. 19(2), pages 255-277, March.
    10. Shyh-Wei Chen, 2010. "Testing the hypothesis of market efficiency in the Taiwan-US forward exchange market since 1990," Applied Economics, Taylor & Francis Journals, vol. 42(1), pages 121-132.
    11. Chyng-Hua Shen, 1997. "Testing for foreign exchange market efficiency - a trivariate vector autoregressive approach," Applied Financial Economics, Taylor & Francis Journals, vol. 7(6), pages 711-719.
    12. Phylaktis, Kate, 1997. "Capital market integration in the Pacific-Basin region: An analysis of real interest rate linkages," Pacific-Basin Finance Journal, Elsevier, vol. 5(2), pages 195-213, June.
    13. Phylaktis, Kate, 1999. "Capital market integration in the Pacific Basin region: an impulse response analysis," Journal of International Money and Finance, Elsevier, vol. 18(2), pages 267-287, February.
    14. Bhatta, Guna Raj & Nepal, Rabindra & Harvie, Charles & Jayanthakumaran, Kankesu, 2022. "Testing for the uncovered interest parity condition in a small open economy: A state space modelling approach," Journal of Asian Economics, Elsevier, vol. 82(C).
    15. Firanchuk, Alexander (Фиранчук, Александр), 2017. "Illegal Re-Export and Analysis of the Effectiveness of the Russian Food Embargo in 2014 [Незаконный Реэкспорт И Анализ Эффективности Российского Продовольственного Эмбарго 2014 Года]," Working Papers 041705, Russian Presidential Academy of National Economy and Public Administration.
    16. Takatoshi Ito & V. Vance Roley, 1988. "Intraday yen/dollar exchange rate movements: news or noise?," Research Working Paper 88-07, Federal Reserve Bank of Kansas City.

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