Hedging Options in a GARCH Environment: Testing the Term Structure of Stochastic Volatility Models

Robert F. Engle, Joshua Rosenberg

NBER Working Paper No. 4958
Issued in December 1994
NBER Program(s):   AP

This paper develops a methodology for testing the term structure of volatility forecasts derived from stochastic volatility models, and implements it to analyze models of S&P 500 index volatility. Volatility models are compared by their ability to hedge options positions sensitive to the term structure of volatility. Overall, the most effective hedge is a Black-Scholes (BS) delta-gamma hedge, while the BS delta-vega hedge is the least effective. The most successful volatility hedge is GARCH components delta-gamma, suggesting that the GARCH components estimate of the term structure of volatility is most accurate. The success of the BS delta-gamma hedge may be due to mispricing in the options market over the sample period.

(549 K)

Published: Published as "Bayesian Analysis of Stochastic Volatility Models: Comment", JBES, Vol. 12, no. 4 (1994): 395-396.

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