A series-form solution for pricing variance and volatility swaps with stochastic volatility and stochastic interest rate

Authors

Xinjiang He, University of WollongongFollow
Song-Ping Zhu, University of WollongongFollow

RIS ID

130865

Publication Details

He, X. & Zhu, S. (2018). A series-form solution for pricing variance and volatility swaps with stochastic volatility and stochastic interest rate. Computers and Mathematics with Applications, 76 (9), 2223-2234.

Abstract

In this paper, we present analytical pricing formulae for variance and volatility swaps, when both of the volatility and interest rate are assumed to be stochastic and follow a CIR (Cox-Ingersoll-Ross) process, forming a Heston-CIR hybrid model. The solutions are written in a series form with a theoretical proof of their convergence, ensuring the accuracy of the determined swap prices. The application of the formulae in practice is also demonstrated through the designed numerical experiments.