from a given set defined by the parametric volatility specification and the structure of a continuous time Markov chain that … modulates the volatility function. The first stochastic volatility specification generates jump discontinuities in volatility and … shape-preserving evolution of the volatility term structure in thefuture. The second specification allows, in addition, for …

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 …

fundamental examples, such as trinomial trees and stochastic volatility mod-els, extracted from the financial modelling literature …

admissible sets of for-ward swap rates spanning a given tenor structure. We relate this conceptto results in graph theory by …