Title
Volatility swaps valuation under stochastic volatility with jumps and stochastic intensity
Abstract
In this paper, a pricing formula for volatility swaps is delivered when the underlying asset follows the stochastic volatility model with jumps and stochastic intensity. By using the Feynman–Kac theorem, a partial integral differential equation is obtained to derive the joint moment generating function of the previous model. Moreover, discrete and continuous sampled volatility swap pricing formulas are given by employing the transform technique and the relationship between two pricing formulas is discussed under mild conditions. Finally, some numerical simulations are reported to support the results presented in this paper.
Year
DOI
Venue
2019
10.1016/j.amc.2019.02.063
Applied Mathematics and Computation
Keywords
Field
DocType
Stochastic volatility model with jumps,Stochastic intensity,Volatility derivatives,Pricing
Stochastic volatility,Applied mathematics,Differential equation,Mathematical optimization,Volatility swap,Swap (finance),Valuation (finance),Volatility (finance),Moment-generating function,Mathematics
Journal
Volume
ISSN
Citations 
355
0096-3003
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Ben-Zhang Yang100.68
Jia Yue200.68
Ming-Hui Wang300.34
Nan-Jing Huang443870.72