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The Term Structure of the Forward Premium

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  • Craig S. Hakkio

Abstract

Most studies of the efficiency of the foreign exchange market focus on a single maturity -- usually a one month exchange rate. However, one observes that forward contracts of many maturities are simultaneously traded in the foreign exchange market. The hypothesis that the foreign. exchange market uses all available information has implications for the joint behavior of forward exchange rates of various maturities. This paper theoretically and empirically examines these implications. The paper proposes an equilibrium theory of the term structure of the forward premium. By combining the theory of the term structure of (domestic and foreign)interest rates with the hypothesis of interest rate parity, a simple expression relating the six month forward premium to a geometric average of expected future one month forward premiums can be developed. By assuming that the one and six month forward premiums can be expressed as a bivariate stochastic process, one can derive an expression for the expected one month forward premium. The theory will then impose highly non-linear cross equation restrictions on the parameters of the model. Two methods of testing the validity of the restrictions are presented. The results indicate that the data are consistent with the theory for Germany and inconsistent with the theory for Canada.

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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 0426.

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Date of creation: Jan 1980
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Publication status: published as Hakkio, Craig S. "The Term Structure of the Forward Premium." Journal of Monetary Economics, Vol. 8, No. 1, (July 1981), pp. 41-58.
Handle: RePEc:nbr:nberwo:0426

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  1. Sargent, Thomas J, 1972. "Rational Expectations and the Term Structure of Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 4(1), pages 74-97, Part I Fe.
  2. L. G. Telser, 1967. "A Critique of Some Recent Empirical Research on the Explanation of the Term Structure of Interest Rates," Journal of Political Economy, University of Chicago Press, vol. 75, pages 546.
  3. Jensen, Michael C., 1978. "Some anomalous evidence regarding market efficiency," Journal of Financial Economics, Elsevier, vol. 6(2-3), pages 95-101.
  4. Frenkel, Jacob A & Levich, Richard M, 1977. "Transaction Costs and Interest Arbitrage: Tranquil versus Turbulent Periods," Journal of Political Economy, University of Chicago Press, vol. 85(6), pages 1209-26, December.
  5. Modigliani, Franco & Shiller, Robert J, 1973. "Inflation, Rational Expectations and the Term Structure of Interest Rates," Economica, London School of Economics and Political Science, vol. 40(157), pages 12-43, February.
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Cited by:
  1. Takatoshi Ito, 1984. "Use of (Time-Domain) Vector Autoregressions to Test Uncovered Interest Parity," NBER Working Papers 1493, National Bureau of Economic Research, Inc.
  2. Maurice Obstfeld, 1982. "Can We Sterilize? Theory and Evidence," NBER Working Papers 0833, National Bureau of Economic Research, Inc.
  3. Drakos, Konstantinos, 2003. "The term structure of deviations from the interest parity," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 13(1), pages 57-67, February.
  4. David S. Jones & V. Vance Roley, 1982. "Rational Expectations, the Expectations Hypothesis, and Treasury Bill Yields: An Econometric Analysis," NBER Working Papers 0869, National Bureau of Economic Research, Inc.
  5. Ahtiala, Pekka & Orgler, Yair E., 1995. "The optimal pricing of exports invoiced in different currencies," Journal of Banking & Finance, Elsevier, vol. 19(1), pages 61-77, April.
  6. 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.
  7. Karen K. Lewis, 1990. "Was There a "Peso Problem" in the U.S. Term Structure of Interest Rates:1979-1982?," NBER Working Papers 3282, National Bureau of Economic Research, Inc.
  8. Thomas Chiang & Jose Trinidad, 1997. "Risk and International Parity Conditions: A Synthesis from Consumption Based Models," International Economic Journal, Taylor & Francis Journals, vol. 11(2), pages 73-101.
  9. John F. O. Bilson, 1980. "The "Speculative Efficiency" Hypothesis," NBER Working Papers 0474, National Bureau of Economic Research, Inc.
  10. Hodrick, Robert J. & Srivastava, Sanjay, 1984. "An investigation of risk and return in forward foreign exchange," Journal of International Money and Finance, Elsevier, vol. 3(1), pages 5-29, April.

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