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Variance swaps under the threshold Ornstein–Uhlenbeck model

Fangyuan Dong and Hoi Ying Wong

Applied Stochastic Models in Business and Industry, 2017, vol. 33, issue 5, 507-521

Abstract: Variance swap is a typical financial tool for managing volatility risk. In this paper, we evaluate different types of variance swaps under a threshold Ornstein–Uhlenbeck model, which exhibits both mean reversion and regime switching features in the underlying asset price. We derive the analytical solution for the joint moment generating function of log‐asset prices at two distinct time points. This enables us to price various types of variance swaps analytically. Copyright © 2017 John Wiley & Sons, Ltd.

Date: 2017
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https://doi.org/10.1002/asmb.2252

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