We consider interest rate models of Heath-Jarrow-Morton type where the forward rates are driven by a multidimensional Wiener process, and where the volatility structure is allowed to be a smooth functional of the present forward rate curve. In a recent paper (to appear in "Mathematical Finance"...

We consider forward rate rate models of HJM type, as well as more general infinite dimensional SDEs, where the volatility/diffusion term is stochastic in the sense of being driven by a separate hidden Markov process. Within this framework we use the previously developed Hilbert space realization...

The binomial model -- A more general one period model -- Stochastic integrals -- Differential equations -- Portfolio dynamics -- Arbitrage pricing -- Completeness and hedging -- Parity relations and delta hedging -- The Martingale approach to arbitrage theory -- The mathematics of the Martingale...