A great deal of recent literature discusses the major anomalies that have appeared in the interest rate market following the credit crunch in August 2007. There were major consequences with regard to the development of spreads between quantities that had remained the same until then. In...

In this paper, we show numerically how to calculate the price of bond options, swaps, caps and floors for Levy one-factor stochastic interest rate models via partial integro-differential equations (PIDE). These models include, in particular, Ornshtein-Uhlenbeck (1930), Vasicek (1977),...

We propose a term structure function, a two-factor variance process and a return process to jointly price SPX and VIX derivatives. The distinctive feature of the variance model is that the factor coefficients are time-varying and they are bonded with the term structure of variance swaps. The...