Empirical Performance of Alternative Option Pricing Models

Charles Cao, Gurdip S. Bakshi () and Zhiwu Chen
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Gurdip S. Bakshi: University of Maryland, Robert H. Smith School of Business

Yale School of Management Working Papers from Yale School of Management

Abstract: Substantial progress has been made in extending the Black-Scholes model to incorporate such features as stochastic volatility, stochastic interest rates and jumps.On the empirical front, however, it is not yet known whether and by how much each generalized feature will improve option pricing and hedging performance. This paper fills this gap by first developing an implementable option model in closed form that allows volatility, interest rates and jumps to bestochastic and that is parsimonious in the number of parameters. The model includes many known ones as special cases. Delta-neutral and single-instrument minimum-variance hedging strategies are derived analytically. Using S&P 500 options, we examine a set of alternative models from three perspectives: (1) internal consistency of implied parameters/volatility with relevant time-series data, (2)out-of-sample pricing and (3) hedging performance. The models of focus include the benchmark Black-Scholes formula and the ones that respectively allow for (i) stochastic volatility, (ii) both stochastic volatility and stochastic interest rates, and (iii) stochastic volatility and jumps.Overall, incorporating both stochastic volatility and random jumps produces the best pricing performance and the most internally-consistent implied-volatility process. Its implied volatility does not "smile" across moneyness. But, for hedging, adding either jumps or stochastic interest rates does not seem to improve performance any further once stochastic volatility is taken into account.

JEL-codes: G10 G12 G13 (search for similar items in EconPapers)
Date: 1997-04-30
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Citations: View citations in EconPapers (876)

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Related works:
Journal Article: Empirical Performance of Alternative Option Pricing Models (1997)
Working Paper: Empirical Performance of Alternative Option Pricing Models (1997)
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Persistent link: https://EconPapers.repec.org/RePEc:ysm:somwrk:ysm65

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