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Around and around: the expectations hypothesis

Mark Fisher and Christian Gilles

No 96-17, Finance and Economics Discussion Series from Board of Governors of the Federal Reserve System (U.S.)

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.

Keywords: Rational; expectations; (Economic; theory) (search for similar items in EconPapers)
Date: 1996
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Working Paper: Around and Around: The Expectations Hypothesis (2019) Downloads
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