day-to-day volatility of currency prices that should be driven by slow-moving macro fundamentals …

Option prices seem to behave in ways inconsistent with the Black-Scholes model. Implied volatility varies with the … strike price in a parabolic shape that is often called the volatility 'smile.' My objective in this paper is to identify … implied probability distributions that might explain this anomaly. I develop a simulated method of moments estimation …

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 …

, and the Deutschmark-US dollar. The estimation results for both models show: (i) that the unrestricted model outperforms …