Markovian Projection Method for Volatility Calibration

22 Pages Posted: 6 Jun 2006

See all articles by Vladimir Piterbarg

Vladimir Piterbarg

NatWest Markets; Imperial College London

Date Written: May 25, 2006


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: or

Vladimir Piterbarg (Contact Author)

NatWest Markets ( email )

250 Bishopsgate
London, EC2M 4AA
United Kingdom

Imperial College London ( email )

South Kensington Campus
Imperial College
United Kingdom

Do you have a job opening that you would like to promote on SSRN?

Paper statistics

Abstract Views
PlumX Metrics