Single factor models with Markovian spot interest rate: an analytical treatment

In the spirit of the Heath–Jarrow–Morton methodology, we provide an analytical characterization of bond prices within the context of single factor term structure models in which the spot rate follows a Markov process and the volatility structure of zero coupon bond returns is stochastic. Also, a perturbative analysis of the extended Cox–Ingersoll–Ross model is proposed. Received: 7 February 2001 / Accepted: 8 June 2002