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IAQF & Thalesians Seminar: Dr. Andrey Itkin - Modeling stochastic skew of FX options using SLV models with stochastic spot/vol correlation and correlated jumps

  • 15 Nov 2017
  • 6:00 PM
  • NYU Kimmel Center, Room 914, 60 Washington Square South, New York, NY

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

       
A Talk by Dr. Andrey Itkin


Wednesday, November 15th

5:45 PM Registration
6:00 PM Seminar Begins
7:30 PM 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.


         

About the Series

The IAQF's Thalesians Seminar Series is a joint effort on the part of the IAQF (www.iaqf.org) and the Thalesians (www.thalesians.com). The goal of the series is to provide a forum for the exchange of new ideas and results related to the field of quantitative finance. This goal is accomplished by hosting seminars where leading practitioners and academics present new work, and following the seminars with a reception to facilitate further interaction and discussion. 

 

Registration Fees:
Complimentary for IAQF members through this site
Thalesians Members can register here for $25
Non-Members: $25.00 by registering through this site