Volatility Skew and Smile of Interest Rate products (Swaption and Caplet) are represented by SABR (Stochastic Alpha Beta Rho model). So, the Interest Rate derivatives model for pricing the callable exotic swaps should be comparable to the SABR volatility surface. In the interest rate derivatives...

We consider an extension of the Hull-White short rate model which incorporates smile and skew, effectively through a quadratic dependence of the diffusion on the short rate. We derive an asymptotic representation of the pricing kernel for this new model in semi-analytic form, using this to...