Title

A Class of Nonlinear Stochastic Volatility Models and Its Implications on Pricing Currency Options

Publication Type

Conference Paper

Publication Date

3-2004

Abstract

This paper proposes a class of stochastic volatility (SV) models which offers an alternative to the one introduced in Andersen (1994). The class encompasses all standard SV models that have appeared in the literature, including the well known lognormal model, and allows us to empirically test all standard specifications in a convenient way. We develop a likelihood-based technique for analyzing the class. Daily dollar/pound exchange rate data reject all the standard models and suggest evidence of nonlinear SV. An efficient algorithm is proposed to study the implications of this nonlinear SV on pricing currency options and it is found that the lognormal model overprices options.

Discipline

Applied Statistics | Econometrics

Research Areas

Econometrics

Publication

American Economist Association Meeting