VIX Option Pricing in a Jump-Diffusion Model
Risk Magazine, pp. 84-89, April 2008
10 Pages Posted: 1 Jun 2009
Date Written: February 10, 2008
We first discuss the positive volatility skew observed in the implied volatilities of VIX options. To model this feature, we apply the square root stochastic variance model with variance jumps for the evolution of the S&P500 index volatility. Then we develop a robust method for unified pricing and hedging of different volatility products on the implied and realized variance of the S&P500 index and show how to apply this formula for pricing the VIX futures and options.
Keywords: VIX index, VIX futures and options, Imlied volatility, Stochastic volatility, Heston model with volatility jumps
JEL Classification: C00, G00
Suggested Citation: Suggested Citation