A hybrid Markov-Functional model with simultaneous calibration to the interest rate and FX smile

In this paper we present a Markov-Functional hybrid interest rate/foreign exchange model that allows calibration to given market volatility surfaces in both dimensions simultaneously. This is achieved by extending the approach introduced by Fries and Rott by a functional for the foreign exchange rate (FX), which allows a fast, yet accurate calibration to a given market FX volatility surface. This calibration procedure comes as an additional step to the known calibration of the LIBOR functional, resulting in an efficient implementation.Derivatives hedging, Derivatives pricing, Derivatives risk management, Derivative pricing models, Monte Carlo methods,