Volatility swaps valuation under stochastic volatility with jumps and stochastic intensity

摘要

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.