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arXiv · 0901.2080

On the Dybvig-Ingersoll-Ross Theorem

Constantinos Kardaras·Eckhard Platen
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Abstract

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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Constantinos Kardaras, Eckhard Platen. 2010-03-13. On the Dybvig-Ingersoll-Ross Theorem. https://arxiv.org/abs/0901.2080

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