existence and uniqueness of a solution. We give explicit examples of volatility coeffcients satisfying the required assumptions …

pricing model. Implied volatility smiles appear to be explained by the negative asymmetry of the filtered historical … hedging in the presence of large volatility shocks. …

existing methods lies in its straightforward application to models with stochastic volatility and stochastic interest rates. We … exploit this advantage by providing an analysis of the impact of volatility mean-reversion, volatility of volatility, and …

In this paper we construct arbitrage-free market models of stochastic volatility type for one stock, one bank account …-option market models with a prespecified volatility structure. …

and economically strong effect on the implied volatility of currency options, on the shap e of the implied volatility … smile, on the volatility risk-premia, and on future currency returns. We do cument that the volatility of macro economic …

volatility and risk aversion that are similar to the ones observed in the data. In addition, the model produces an implied …

We derive a closed-form asymptotic expansion formula for option implied volatility under a two-factor jump …-diffusion stochastic volatility model when time-to-maturity is small. Based on numerical experiments we describe the range of time … free of the unobserved spot volatility. Therefore, the model can be calibrated on option data pooled across different …

. The analysis is performed in the framework of a two-factor model with local and stochastic volatility. We describe an … algorithm for building the power series approximation of implied volatility. In the case of CEV volatility of volatility we …