Explicit Bond Option and Swaption Formula in Heath-Jarrow-Morton One Factor Model

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Explicit Bond Option and Swaption Formula in Heath-jarrow-morton One Factor Model

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 (∆) to hedge the option with its underlying.

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ژورنال

عنوان ژورنال: SSRN Electronic Journal

سال: 2003

ISSN: 1556-5068

DOI: 10.2139/ssrn.434860