A Gaussian approximation scheme for computation of option prices in stochastic volatility models

A-Tier
Journal: Journal of Econometrics
Year: 2008
Volume: 146
Issue: 1
Pages: 44-58

Authors (4)

Cheng, Ai-ru (Meg) (not in RePEc) Gallant, A. Ronald (Pennsylvania State University) Ji, Chuanshu (not in RePEc) Lee, Beom S. (not in RePEc)

Score contribution per author:

1.005 = (α=2.01 / 4 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We consider European options on a price process that follows the log-linear stochastic volatility model. Two stochastic integrals in the option pricing formula are costly to compute. We derive a central limit theorem to approximate them. At parameter settings appropriate to foreign exchange data our formulas improve computation speed by a factor of 1000 over brute force Monte Carlo making MCMC statistical methods practicable. We provide estimates of model parameters from daily data on the Swiss Franc to Euro and Japanese Yen to Euro over the period 1999-2002.

Technical Details

RePEc Handle
repec:eee:econom:v:146:y:2008:i:1:p:44-58
Journal Field
Econometrics
Author Count
4
Added to Database
2026-01-25