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The Relationship Between Risk and Maturity In A Stochastic Setting

Paul H. Zipkin

Mathematical Finance, 1992, vol. 2, issue 1, 33-46

Abstract: This paper explores the interest rate sensitivity of the prices of bonds and other securities when the instantaneous interest rate follows a Markov process. We show that whenever the interest rate describes a diffusion process the sensitivity of zero‐coupon bonds increases with maturity. More generally, we characterize the risk‐maturity relationship for contingent claims. This investigation yields a new property of option prices in the case where the underlying security price is a diffusion.

Date: 1992
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https://doi.org/10.1111/j.1467-9965.1992.tb00024.x

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