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

  • Takatoshi Ito

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: Nov 1984
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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
Note: ME ITI IFM
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  1. Craig S. Hakkio, 1980. "The Term Structure of the Forward Premium," NBER Working Papers 0426, National Bureau of Economic Research, Inc.
  2. Cornell, Bradford, 1977. "Spot rates, forward rates and exchange market efficiency," Journal of Financial Economics, Elsevier, vol. 5(1), pages 55-65, August.
  3. Robert E. Cumby & Maurice Obstfeld, 1984. "International Interest Rate and Price Level Linkages under Flexible Exchange Rates: A Review of Recent Evidence," NBER Chapters, in: Exchange Rate Theory and Practice, pages 121-152 National Bureau of Economic Research, Inc.
  4. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
  5. 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.
  6. 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.
  7. Richard Meese & Kenneth Rogoff & Jacob Frenkel, . "The Out-of-Sample Failure of Empirical Exchange Rate Models: Sampling Error or Misspecification?," Working Paper 32044, Harvard University OpenScholar.
  8. 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.
  9. Lars Peter Hansen & Thomas J. Sargent, 1981. "Exact linear rational expectations models: specification and estimation," Staff Report 71, Federal Reserve Bank of Minneapolis.
  10. 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.
  11. 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.
  12. Frenkel, Jacob A, 1981. "Flexible Exchange Rates, Prices, and the Role of "News": Lessons from the 1970s," Journal of Political Economy, University of Chicago Press, vol. 89(4), pages 665-705, August.
  13. Hodrick, Robert J., 1981. "International asset pricing with time-varying risk premia," Journal of International Economics, Elsevier, vol. 11(4), pages 573-587, November.
  14. 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.
  15. Sargent, Thomas J., 1979. "A note on maximum likelihood estimation of the rational expectations model of the term structure," Journal of Monetary Economics, Elsevier, vol. 5(1), pages 133-143, January.
  16. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  17. 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.
  18. Christopher A. Sims, 1982. "Policy Analysis with Econometric Models," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 13(1), pages 107-164.
  19. 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.
  20. Lars Peter Hansen & Robert J. Hodrick, 1983. "Risk Averse Speculation in the Forward Foreign Exchange Market: An Econometric Analysis of Linear Models," NBER Chapters, in: Exchange Rates and International Macroeconomics, pages 113-152 National Bureau of Economic Research, Inc.
  21. Takatoshi Ito, 1983. "Capital Controls and Covered Interest Parity," NBER Working Papers 1187, National Bureau of Economic Research, Inc.
  22. Sargent, Thomas J, 1984. "Autoregressions, Expectations, and Advice," American Economic Review, American Economic Association, vol. 74(2), pages 408-15, May.
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