In this chapter we replace the risk-free numeraire by another traded asset, such as the T-bond. This change of numeraire technique proves most useful for option pricing and provides the basis for the market models studied below. We derive explicit option price formulas for Gaussian HJM models. This includes the Vasiček short-rate model and some extension of the Black–Scholes model with stochastic interest rates.
KeywordsOption Price Forward Rate Bond Price Scholes Model European Call Option
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