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

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Takatoshi Ito

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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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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 1493.

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Date of creation: Feb 1989
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Publication status: published as The Review of Economics and Statistics, Vol. LXX, No. 2, (May 1988), pp. 29 6-305.
Handle: RePEc:nbr:nberwo:1493

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  1. Frenkel, Jacob A., 1979. "Further evidence on expectations and the demand for money during the German hyperinflation," Journal of Monetary Economics, Elsevier, vol. 5(1), pages 81-96, January. [Downloadable!] (restricted)
  2. Longworth, David, 1981. "Testing the Efficiency of the Canadian-U.S. Exchange Market under the Assumption of no Risk Premium," Journal of Finance, American Finance Association, vol. 36(1), pages 43-49, March. [Downloadable!] (restricted)
  3. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January. [Downloadable!] (restricted)
  4. Christopher A. Sims, 1982. "Policy Analysis with Econometric Models," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 13(1982-1), pages 107-164. [Downloadable!]
  5. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July. [Downloadable!] (restricted)
  6. Takatoshi Ito, 1987. "Capital Controls and Covered Interest Parity," NBER Working Papers 1187, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  7. Robert J. Hodrick & Sanjay Srivastava, 1983. "An Investigation of Risk and Return in Forward Foreign Exchange," NBER Working Papers 1180, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  8. Hakkio, Craig S., 1981. "The term structure of the forward premium," Journal of Monetary Economics, Elsevier, vol. 8(1), pages 41-58. [Downloadable!] (restricted)
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  9. Hansen, Lars Peter & Hodrick, Robert J, 1980. "Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 829-53, October. [Downloadable!] (restricted)
  10. Robert E. Cumby & Maurice Obstfeld, 1985. "International Interest-Rate and Price-Level Linkages Under Flexible Exchange Rates: A Review of Recent Evidence," NBER Working Papers 0921, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  11. Sargent, Thomas J, 1984. "Autoregressions, Expectations, and Advice," American Economic Review, American Economic Association, vol. 74(2), pages 408-15, May. [Downloadable!] (restricted)
  12. Frenkel, Jacob A, 1977. "The Forward Exchange Rate, Expectations, and the Demand for Money: The German Hyperinflation," American Economic Review, American Economic Association, vol. 67(4), pages 653-70, September. [Downloadable!] (restricted)
  13. Lars Peter Hansen & Thomas J. Sargent, 1981. "Exact linear rational expectations models: specification and estimation," Staff Report 71, Federal Reserve Bank of Minneapolis. [Downloadable!]
  14. Geweke, John F & Feige, Edgar L, 1979. "Some Joint Tests of the Efficiency of Markets for Forward Foreign Exchange," The Review of Economics and Statistics, MIT Press, vol. 61(3), pages 334-41, August. [Downloadable!] (restricted)
  15. Richard Meese & Kenneth Rogoff, 1982. "The out-of-sample failure of empirical exchange rate models: sampling error or misspecification?," International Finance Discussion Papers 204, Board of Governors of the Federal Reserve System (U.S.).
  16. Gregory, Allan W. & McCurdy, Thomas H., 1984. "Testing the unbiasedness hypothesis in the forward foreign exchange market: A specification analysis," Journal of International Money and Finance, Elsevier, vol. 3(3), pages 357-368, December. [Downloadable!] (restricted)
  17. Thomas J. Sargent, 1978. "A note on maximum likelihood estimation of the rational expectations model of the term structure," Staff Report 26, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  18. Hodrick, Robert J., 1981. "International asset pricing with time-varying risk premia," Journal of International Economics, Elsevier, vol. 11(4), pages 573-587, November. [Downloadable!] (restricted)
  19. Cornell, Bradford, 1977. "Spot rates, forward rates and exchange market efficiency," Journal of Financial Economics, Elsevier, vol. 5(1), pages 55-65, August. [Downloadable!] (restricted)
  20. Baillie, Richard T & Lippens, Robert E & McMahon, Patrick C, 1983. "Testing Rational Expectations and Efficiency in the Foreign Exchange Market," Econometrica, Econometric Society, vol. 51(3), pages 553-63, May. [Downloadable!] (restricted)
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  1. Takatoshi Ito & V. Vance Roley, 1987. "News from the U. S. and Japan: Which Moves the Yen/Dollar Exchange Rate?," NBER Working Papers 1853, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  2. Takatoshi Ito, 1990. "Foreign Exchange Rate Expectations: Micro Survey Data," NBER Working Papers 2679, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. Jeffrey A. Frankel & Kenneth A. Froot, 1988. "Short-term and Long-Term Expectations of the Yen/Dollar Exchange Rate: Evidence from Survey Data," NBER Working Papers 2216, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  4. Takatoshi Ito & Kunio Okina & Juro Teranishi, 1988. "News and the Dollar/Yen Exchange Rate, 1931-1933: The End of the Gold Standard, Imperialism, and the Great Depression," NBER Working Papers 2683, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  5. Takatoshi Ito & V. Vance Roley, 1991. "Intraday Yen/Dollar Exchange Rate Movements: News or Noise?," NBER Working Papers 2703, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. V. Vance Roley, 1987. "U.S. Monetary Policy Regimes and U.S.-Japan Financial Relations," NBER Working Papers 1858, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  7. John Y. Campbell & Robert J. Shiller, 1988. "Cointegration and Tests of Present Value Models," NBER Working Papers 1885, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
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