Download This PaperExplicit Bond Option and Swaption Formula in Heath-Jarrow-Morton One Factor Model
12 Pages Posted: 30 Nov 2003
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Explicit Bond Option and Swaption Formula in Heath-Jarrow-Morton One Factor Model
Number of pages: 12
Posted: 30 Nov 2003
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Explicit Bond Option and Swaption Formula in Heath-Jarrow-Morton One Factor Model
International Journal of Theoretical and Applied Finance, Vol. 6, No. 1, pp. 57-72, 2003
Posted: 30 Nov 2003
Abstract
We present an explicit formula for European options on coupon bearing bonds and swaptions in the Heath-Jarrow-Morton (HJM) one factor model with non-stochastic volatility. The formula extends the Jamshidian formula for zero-coupon bonds. We provide also an explicit way to compute the hedging ratio (Delta) to hedge the option with its underlying.
Keywords: Bond option, swaption, explicit formula, HJM model, one factor model, hedging
JEL Classification: G13
Suggested Citation: Suggested Citation
Henrard, Marc P. A., Explicit Bond Option and Swaption Formula in Heath-Jarrow-Morton One Factor Model. Available at SSRN: https://ssrn.com/abstract=434860 or http://dx.doi.org/10.2139/ssrn.434860
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