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Review of Financial Studies Vol. 22 No. 5 2009

A General Stochastic Volatility Model for the Pricing of Interest Rate Derivatives

Anders B. Trolle; Eduardo S. Schwartz

Abstract

[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 zerocoupon 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.]

Volume
22
Issue
5
Pages
2007-2057
Sources
bibtex:phds-export.bib

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