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Markovian Projection Method for Volatility Calibration

Vladimir Piterbarg


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.

Number of Pages in PDF File: 22

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

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Date posted: June 6, 2006  

Suggested Citation

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

Contact Information

Vladimir Piterbarg (Contact Author)
Independent ( email )
No Address Available
United States
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