Option Valuation with Observable Volatility and Jump Dynamics

Peter Christoffersen, Bruno Feunoua, Yoontae Jeon

Research output: Working paperResearch

Abstract

Under very general conditions, the total quadratic variation of a jump-diffusion process can be decomposed into diffusive volatility and squared jump variation. We use this result to develop a new option valuation model in which the underlying asset price exhibits volatility and jump intensity dynamics. The volatility and jump intensity dynamics in the model are directly driven by model-free empirical measures of diffusive volatility and jump variation. Because the empirical measures are observed in discrete intervals, our option valuation model is cast in discrete time, allowing for straightforward filtering and estimation of the model. Our model belongs to the affine class enabling us to derive the conditional characteristic function so that option values can be computed rapidly without simulation. When estimated on S&P500 index options and returns the new model performs well compared with standard benchmarks.
Original languageEnglish
Place of PublicationAarhus
PublisherAarhus Universitetsforlag
Number of pages47
DOIs
Publication statusPublished - 2015
SeriesCreates Research Paper
Number2015-7
SeriesRotman School of Management Working Paper
Number2494379
SeriesStaff Working Paper / Bank of Canada
Number2015-39
ISSN1701-9397

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