利率衍生品定价的一般随机波动率模型

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

Review of Financial Studies · 2008
被引 136
人大 AFT50UTD24ABS 4*

中文导读

提出一个易处理且灵活的随机波动率多因子利率期限结构模型,能拟合利率、互换期权和利率上限的广泛面板数据,尤其匹配隐含波动率偏斜和动态。

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 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 data set of interest rates, swaptions, and caps. In particular, the model matches the implied cap skews and the dynamics of implied volatilities.

随机波动率模型利率衍生品定价利率期限结构隐含波动率偏斜