Year: 2020
Author: S. Liu, B. Wiwatanapataphee, Y.H. Wu, Y. Yang
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 3 : pp. 594–619
Abstract
This paper investigates the pricing of discrete-sampled variance swaps driven by a generalised stochastic model taking into account stochastic volatility, stochastic interest rate and jump-diffusion process. The model includes various existing models as special cases, such as the CIR model, the Heston CIR model, and the multi-factor CIR model. The integral term arising from the jump-diffusion is dealt with by employing the characteristic function and Fourier convolution. By applying a high-dimensional generalised hybrid method, a semi-analytic solution is derived. The effects of stochastic interest rate, stochastic volatility and jump rate on variance swap price are investigated. It is shown that both the stochastic volatility and the jump rate have significant effects on the fair strike price, while the effect of the stochastic interest rate is minor and can be ignored.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.071119.010320
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 3 : pp. 594–619
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Time-scale stochastic volatility generalised Fourier transform variance swap.