VIX and European options with jumps in the short-maturity regime
Desen Guo,
Dan Pirjol,
Xiaoyu Wang and
Lingjiong Zhu
Papers from arXiv.org
Abstract:
We present a study of the short-maturity asymptotics for VIX and European option prices in local-stochastic volatility models with compound Poisson jumps. Both out-of-the-money (OTM) and at-the-money (ATM) asymptotics are considered. The leading-order asymptotics are obtained in closed-form. We apply our results to three examples: the Eraker model, a Kou-type model, and a folded normal model. Numerical illustrations are provided for these three examples that show the accuracy of predictions based on the asymptotic results.
Date: 2026-01
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2601.17248
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