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2018 | OriginalPaper | Buchkapitel

15. Simulation of Stochastic Volatility Variance Swap

verfasst von : Shican Liu, Yanli Zhou, Yonghong Wu, Xiangyu Ge

Erschienen in: Recent Developments in Data Science and Business Analytics

Verlag: Springer International Publishing

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Abstract

This paper aims to propose efficient mathematical model of variance swap to study the effect of stochastic volatility in different time-scales on the option pricing. Two types of stochastic volatility, including Ornstein-Uhlenbeck (OU) process and Cox-Ingersoll-Ross (CIR) process are considered. Analytical solution of CIR model is presented. For the OU process, a numerical algorithm based on the finite element approach is established for solution of the model.

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Metadaten
Titel
Simulation of Stochastic Volatility Variance Swap
verfasst von
Shican Liu
Yanli Zhou
Yonghong Wu
Xiangyu Ge
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-72745-5_15

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