This paper studies modelling and existence issues for market models of stochastic implied volatility in a continuous-time framework with one stock, one bank account and a family of European options for all maturities with a fixed payoff function h. We first characterize absence of arbitrage in...

In a recent paper, Collin-Dufresne and Goldstein (2002) show that the movements of the yield curve and of interest rate derivatives are mostly uncorrelated, advocating the presence of unspanned volatility. This letter shows that their results can be explained in the framework of a Gaussian HJM...