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Jump and Volatility Dynamics for the S&P 500: Evidence for Infinite-Activity Jumps with Non-Affine Volatility Dynamics from Stock and Option Markets

Hanxue Yang and Juho Kanniainen

Review of Finance, 2017, vol. 21, issue 2, 811-844

Abstract: Relatively little is known about the empirical performance of infinite-activity Lévy jump models, especially with non-affine volatility dynamics. We use extensive empirical data sets to study how infinite-activity Variance Gamma and Normal Inverse Gaussian (NIG) jumps with affine and non-affine volatility dynamics improve goodness of fit and option pricing performance. With Markov Chain Monte Carlo, different model specifications are estimated using the joint information of the S&P 500 index and the VIX. Our article provides clear evidence that a parsimonious non-affine model with NIG return jumps and a linear variance specification is particularly competitive, even during the recent crisis.

JEL-codes: C13 C32 G13 (search for similar items in EconPapers)
Date: 2017
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