Volume 10, Issue 3
Variance Swap Pricing under Hybrid Jump Model

East Asian J. Appl. Math., 10 (2020), pp. 594-619.

Published online: 2020-06

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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.

91G20

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@Article{EAJAM-10-594, author = {Liu , S.Wiwatanapataphee , B.Wu , Y.H. and Yang , Y.}, title = {Variance Swap Pricing under Hybrid Jump Model}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {3}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.071119.010320}, url = {http://global-sci.org/intro/article_detail/eajam/16984.html} }
TY - JOUR T1 - Variance Swap Pricing under Hybrid Jump Model AU - Liu , S. AU - Wiwatanapataphee , B. AU - Wu , Y.H. AU - Yang , Y. JO - East Asian Journal on Applied Mathematics VL - 3 SP - 594 EP - 619 PY - 2020 DA - 2020/06 SN - 10 DO - http://doi.org/10.4208/eajam.071119.010320 UR - https://global-sci.org/intro/article_detail/eajam/16984.html KW - Time-scale, stochastic volatility, generalised Fourier transform, variance swap. AB -

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.

S. Liu, B. Wiwatanapataphee, Y.H. Wu & Y. Yang. (2020). Variance Swap Pricing under Hybrid Jump Model. East Asian Journal on Applied Mathematics. 10 (3). 594-619. doi:10.4208/eajam.071119.010320
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