stochastic volatility model and Brent’s iterative root-finding method for the calculation of implied volatilities. The numerical …

) index call and put options with different volatility forecasting approaches. Since the volatility is the key parameter in … pricing options, GARCH (Generalized Autoregressive Conditional Heteroskedasticity), implied volatility, historical volatility …, and implied volatility index (VBI) are used to determine the best volatility approach for pricing options according to …

We propose how deep neural networks can be used to calibrate the parameters of Stochastic-Volatility Jump …

volatility. Many exotics are priced in a local volatility framework. Pricing under local volatility has become a field of … that assumes a constant volatility. The Johannesburg Stock Exchange (JSE) lists exotic options on its Can-Do platform. Most … exotic options listed on the JSE’s derivative exchanges are valued by local volatility models. These models needs a local …

We propose a fully data-driven approach to calibrate local stochastic volatility (LSV) models, circumventing in … particular the ad hoc interpolation of the volatility surface. To achieve this, we parametrize the leverage function by a family … be seen in the context of neural SDEs and (causal) generative adversarial networks: we generate volatility surfaces by …