In this paper, we propose a general framework for the valuation of options in stochas-tic local volatility (SLV) models … as special cases. Standard stochastic volatility models, such as Heston, Hull-White, Scott, Stein-Stein, α …-Hypergeometric, 3/2, 4/2, mean-reverting, and Jacobi stochastic volatility models, also fall within this general framework. We propose a …

We discuss a competitive alternative to stochastic local volatility models, namely the Collocating Volatility (CV … evaluated and a local volatility function. The latter, based on stochastic collocation – e.g. Babuska et al. (2007), Witteveen …

log-returns and their volatility with the aim of analysing which risk factors and which distribution features provide a …-returns and volatility offer the best trade-off between model performance and parsimony …

that the resulting implied volatility curves provide an accurate approximation for a wide range of strike prices. Based on …

models and therefore allows to consistently construct models including general jump structures, a stochastic volatility and … including jumps, a stochastic volatility and the leverage effect tend to be over-parameterized leading to unstable prices of …

In this paper we derive an easily computed approximation of Rogers and Shi's lower bound for a local volatility jump …-diffusion model and then use it to approximate European basket option values. If the local volatility function is time independent …

patterns of implied volatility can actually be reproduced as a consequence of dynamical hedging. The simulations are performed … theoretical and quantitative point of view the strong pricing biases of the Black-Scholes formula, although stochastic volatility …

important problem. As most financial markets exhibit randomly varying volatility, in this paper we introduce an approximation of … American option price under stochastic volatility models. We achieve this by using the maturity randomization method known as … Canadization. The volatility process is characterized by fast and slow scale fluctuating factors. In particular, we study the case …