A General Stochastic Volatility Model for the Pricing of Interest Rate Derivatives
Posted: 13 Apr 2009 Last revised: 11 Feb 2016
Date Written: May 1, 2009
We develop a tractable and flexible stochastic volatility multifactor model of the term structure of interest rates. It features unspanned stochastic volatility factors, correlation between innovations to forward rates and their volatilities, quasi-analytical prices of zero-coupon bond options, and dynamics of the forward rate curve, under both the actual and risk-neutral measures, in terms of a finite-dimensional affine state vector. The model has a very good fit to an extensive panel dataset of interest rates, swaptions, and caps. In particular, the model matches the implied cap skews and the dynamics of implied volatilities.
Keywords: E43, G13
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