We construct multi-currency models with stochastic volatility and correlated stochastic interest rates with a full … interest rate by a stochastic volatility displaced-diffusion Libor Market Model [AA02], which can model an interest rate smile …

the pricing of European-style foreign currency options and for the volatility strike structure implicit in these contracts … is devoloped. The curvature of the volatility strike structure is explained by focusing attention on the expected … characteristic convex shape of volatility strike structures documented in the empirical literature. A volatility-based test for …

We identify a global risk factor in the cross-section of implied volatility returns in currency markets. A zero …-cost strategy that buys forward volatility agreements with downward sloping implied volatility curves and sells those with upward … slopes - volatility carry strategy - generates significant excess returns. The covariation with volatility carry returns …

I show that volatility risk of the dollar factor --- an equally weighted basket of developed U.S. dollar exchange rates … --- carries a significant risk premium and that it is priced in the cross-section of currency volatility excess returns. The … dollar factor volatility risk premium is negative on average with an upward sloping and concave term structure. Consistent …

general shape of the implied volatility function of the corresponding currency pair. Overall, we conclude that there is a …

predictive capability of currency volatility risk premia for currency returns. The volatility risk premium -- the difference … between expected realized volatility and model-free implied volatility -- reflects the costs of insuring against currency … volatility fluctuations, and the strategy sells high-insurance-cost currencies and buys low-insurance-cost currencies. The …

Bermudan cancelable features. We consider a three-factor pricing model with FX volatility skew which results in a time … divide the pricing of a Bermudan cancelable PRDC swap into two independent pricing subproblems, each of which can efficiently …

The Heston model stands out from the class of stochastic volatility (SV) models mainly for two reasons. Firstly, the … process for the volatility is nonnegative and mean-reverting, which is what we observe in the markets. Secondly, there exists …. -- Heston model ; vanilla option ; stochastic volatility ; Monte Carlo simulation ; Feller condition ; option pricing with FFT …

We introduce an asymptotic expansion for forward start options in a multi-factor local-stochastic volatility model. We … derive explicit approximation formulas for the so-called forward implied volatility which can be useful to price complex path … generalized to a wider class of local-stochastic volatility models. We illustrate the effectiveness of the technique through some …