Markovian Projection Method for Volatility Calibration

22 Pages Posted: 6 Jun 2006  

Vladimir Piterbarg

Independent

Date Written: May 25, 2006

Abstract

We present the Markovian projection method, a method to obtain closed-form approximations to European option prices on various underlyings that, in principle, is applicable to any (diffusive) model. Successful applications of the method have already appeared in the literature, in particular for interest rate models (short rate and forward Libor models with stochastic volatility), and interest rate/FX hybrid models with FX skew. The purpose of this note is thus not to present other instances where the Markovian projection method is applicable (even though more examples are indeed given) but to distill the essence of the method into a conceptually simple plan of attack, a plan that anyone who wants to obtain European option approximations can follow.

Keywords: Local volatility, stochastic volatility, Markovian projection, parameter averaging, Dupire's local volatility, index options, basket options, spread options

Suggested Citation

Piterbarg, Vladimir, Markovian Projection Method for Volatility Calibration (May 25, 2006). Available at SSRN: https://ssrn.com/abstract=906473 or http://dx.doi.org/10.2139/ssrn.906473

Vladimir Piterbarg (Contact Author)

Independent ( email )

No Address Available

Paper statistics

Downloads
5,048
Rank
1,069
Abstract Views
16,399