On the Dybvig-Ingersoll-Ross Theorem
The Dybvig-Ingersoll-Ross (DIR) theorem states that, in arbitrage-free term structure models, long-term yields and forward rates can never fall. We present a refined version of the DIR theorem, where we identify the reciprocal of the maturity date as the maximal order that long-term rates at earlier dates can dominate long-term rates at later dates. The viability assumption imposed on the market model is weaker than those appearing previously in the literature.
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- J. Huston McCulloch, 2000. "Long Forward and Zero-Coupon Rates Indeed Can Never Fall, but Are Indeterminate: A Comment on Dybvig, Ingersoll and Ross," Working Papers 00-12, Ohio State University, Department of Economics.
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- Dybvig, Philip H & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1996.
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The Journal of Business,
University of Chicago Press, vol. 69(1), pages 1-25, January.
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