Approximate formulae for pricing zero-coupon bonds and their asymptotic analysis

Beata Stehlikova and Daniel Sevcovic

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Abstract: We analyze analytic approximation formulae for pricing zero-coupon bonds in the case when the short-term interest rate is driven by a one-factor mean-reverting process with a volatility nonlinearly depending on the interest rate itself. We derive the order of accuracy of the analytical approximation due to Choi and Wirjanto. We furthermore give an explicit formula for a higher order approximation and we test both approximations numerically for a class of one-factor interest rate models.

Date: 2008-02, Revised 2008-07
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:0802.3039

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