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Around and around: the expectations hypothesis

Author

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  • Mark Fisher
  • Christian Gilles

Abstract

We show how to construct arbitrage-free models of the term structure of interest rates in which various expectations hypotheses can hold. McCulloch (1993) provided a Gaussian non-Markovian example of the unbiased expectations hypothesis (U--EH), thereby contradicting the assertion by Cox, Ingersoll, and Ross (CIR, 1981) that only the so-called local expectations hypothesis could hold. We generalize that example in three ways: (i) We characterize the U--EH in terms of forward rates; (ii) we extend this characterization to a class of expectations hypotheses that includes all of those considered by CIR; and (iii) we construct stationary Markovian and non-Gaussian economies. The building block is a maturity-dependent vector that travels around a circle at a constant speed as maturity increases.

Suggested Citation

  • Mark Fisher & Christian Gilles, 1996. "Around and around: the expectations hypothesis," Finance and Economics Discussion Series 96-17, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgfe:96-17
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    References listed on IDEAS

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    1. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1981. "A Re-examination of Traditional Hypotheses about the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 36(4), pages 769-799, September.
    2. Campbell, John Y, 1986. " A Defense of Traditional Hypotheses about the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 41(1), pages 183-193, March.
    3. John Y. Campbell & Robert J. Shiller, 1991. "Yield Spreads and Interest Rate Movements: A Bird's Eye View," Review of Economic Studies, Oxford University Press, vol. 58(3), pages 495-514.
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    Cited by:

    1. Ang, Andrew & Piazzesi, Monika, 2003. "A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables," Journal of Monetary Economics, Elsevier, vol. 50(4), pages 745-787, May.
    2. Mark Fisher, 2001. "Forces that shape the yield curve: Parts 1 and 2," FRB Atlanta Working Paper 2001-3, Federal Reserve Bank of Atlanta.
    3. Johannes Fedderke & Neryvia Pillay, 2010. "A Rational Expectations Consistent Measure of Risk: Using Financial Market Data from a Middle Income Context," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 72(6), pages 769-793, December.
    4. Kotomin, Vladimir, 2011. "A test of the expectations hypothesis in very short-term international rates in the presence of preferred habitat for liquidity," The Quarterly Review of Economics and Finance, Elsevier, vol. 51(1), pages 49-55, February.
    5. Choong Tze Chua & Dean Foster & Krishna Ramaswamy & Robert Stine, 2008. "A Dynamic Model for the Forward Curve," Review of Financial Studies, Society for Financial Studies, vol. 21(1), pages 265-310, January.
    6. Longstaff, Francis A., 2000. "The term structure of very short-term rates: New evidence for the expectations hypothesis," Journal of Financial Economics, Elsevier, vol. 58(3), pages 397-415, December.
    7. Johannes Fedderke & Neryvia Pillay, 2007. "A Theoretically Defensible Measure of Risk: Using Financial Market Data from a Middle Income Context," Working Papers 64, Economic Research Southern Africa.
    8. Munk, Claus, 2015. "Financial Asset Pricing Theory," OUP Catalogue, Oxford University Press, number 9780198716457.
    9. Lin-Yee Hin & Nikolai Dokuchaev, 2016. "Short Rate Forecasting Based On The Inference From The Cir Model For Multiple Yield Curve Dynamics," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 1-33, March.
    10. Jääskelä, Jarkko & Vilmunen, Jouko, 1999. "Anticipated monetary policy and the dynamic behaviour of the term structure of interest rates," Research Discussion Papers 12/1999, Bank of Finland.
    11. Cuthbertson, Keith & Nitzsche, Dirk, 2003. "Long rates, risk premia and the over-reaction hypothesis," Economic Modelling, Elsevier, vol. 20(2), pages 417-435, March.
    12. Ioannides, Michalis, 2003. "A comparison of yield curve estimation techniques using UK data," Journal of Banking & Finance, Elsevier, vol. 27(1), pages 1-26, January.

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