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We introduce a tractable multicurrency model with stochastic volatility and correlated stochastic
interest rates that takes into account the smile in the foreign exchange (FX) market and the evolution
of yield curves. The pricing of vanilla options on FX rates can be efficiently performed through the
FFT methodology thanks to the affine property of the model. Our framework is also able to describe
many nontrivial links between FX rates and interest rates: a calibration exercise highlights the ability
of the model to simultaneously fit FX implied volatilities while being coherent with interest rate
product
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