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Explicit Bond Option And Swaption Formula In Heath-Jarrow-Morton One Factor...



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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 (#) to hedge the option with its underlying. 1. (Update)

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@misc{ -unknown,
  title = "Unknown",
  url = "citeseer.ist.psu.edu/636501.html" }
Citations (may not include all citations):
434   The pricing of options and corporate liabilities (context) - Black, Scholes - 1973
119   Bond pricing and the term structure of interest rates: a new.. (context) - Heath, Jarrow et al. - 1992
55   and other derivatives (context) - Hull, futures - 2000
16   An exact bond option formula (context) - Jamshidian - 1989
14   Volatility structures of forward rates and the dynamics of t.. (context) - Ritchken, Sankarasubramanian - 1995
7   Introduction au calcul stochastique applique a la finance (context) - Lamberton, Lapeyre - 1997
2   Wiley series in probability and statistics (context) - Hunt, Kennedy et al. - 2000
2   Princing interest rate derivatives securities (context) - Hull, White - 1990
1   Pricing eurodollar futures options with the heath-jarrow-mor.. (context) - Cakici, Zhu - 2001
1   Analyse: Fondements (context) - Mawhin - 1997
1   volume 36 of Application of Mathematics: Stochastic Modellin.. (context) - Musiela, Rutkowski et al. - 1997

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