Fast and Accurate Approximation of Bond Prices When Short Rates are Log-Normal
Journal of Computational Finance, Vol. 3, No. 3, pp. 27-45, 2000
Posted: 21 Dec 2012
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Exact Analytical Valuation of Bonds When Spot Interest Rates are Log-Normal
Date Written: December 20, 2012
Abstract
The authors present an analytical approximation formula for zero-coupon bond prices in a one-factor term structure model where the short interest rate follows a lognormal diffusion. An analytical bound on the error is also derived and is used to show that the pricing formula is virtually exact for a wide range of parameter values. The pricing formula is easily implemented and is extremely fast. Illustrative numerical examples are provided and comparisons with results from implementation of the standard binomial model are made. These comparisons support the effectiveness of the proposed algorithm.
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