(NY) -Andrey Itkin - Modeling stochastic skew of FX options

Modeling stochastic skew of FX options using SLV models with stochastic spot/vol correlation and correlated jumps

Andrey Itkin

Seminar Program

5:45pm Registration
6:00pm Seminar
7:30pm Reception

Abstract

It is known that the implied volatility skew of FX options demonstrates a stochastic behavior which is called stochastic skew. In this paper we create stochastic skew by assuming the spot/instantaneous variance correlation to be stochastic. Accordingly, we consider a class of SLV models with stochastic correlation where all drivers - the spot, instantaneous variance and their correlation are modeled by Levy processes. We assume all diffusion components to be fully correlated as well as all jump components. A new fully implicit splitting finite-difference scheme is proposed for solving forward PIDE which is used when calibrating the model to market prices of the FX options with different strikes and maturities. The scheme is unconditionally stable, of second order of approximation in time and space, and achieves a linear complexity in each spatial direction. The results of simulation obtained by using this model demonstrate capacity of the presented approach in modeling stochastic skew.

Biography

Dr. Andrey Itkin is an Adjunct Professor at NYU, Department of Risk and Financial Engineering and Director, Senior Research Associate at Bank of America. He received his PhD in physics of liquids, gases and plasma, and degree of Doctor of Science in computational molecular physics. During his academic carrier he published few books and multiple papers on chemical and theoretical physics and astrophysics, and later on computational and mathematical finance. Andrey occupied various research and managerial positions in financial industry and also is a member of multiple professional associations in finance and physics.

Disclaimer

This a joint IAQF/Thalesians seminar, and not an instructional program of New York University.