Option Pricing with Lévy-Stable Processes Generated by Lévy-Stable Integrated Variance
We show how to calculate European-style option prices when the log-stock price process follows a Levy-Stable process with index parameter 1 ≤ α ≤ 2 and skewness parameter -1 ≤ β ≤ 1. Key to our result is to model integrated variance [image omitted] as an increasing Levy-Stable process with continuous paths in T.
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- Alvaro Cartea & Sam Howison, 2002. "Distinguished Limits of Levy-Stable Processes, and Applications to Option Pricing," OFRC Working Papers Series 2002mf04, Oxford Financial Research Centre.
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