heteroskedasticity (GARCH) and autoregressive stochastic volatility (ARSV) models for volatility forecasting using the S&P 500 Index. In …-step-ahead volatility forecasts. The empirical results show that the ARSV(1) model outperforms the GARCH(1, 1) model in terms of the in … volatility, are not robust for out-of-sample option price predictions. …

were introduced to capture complex phenomena such as volatility clustering or long memory. After recalling recent results …. We also provide some tools for volatility modelling and delta hedging, as well as comparisons with numerical Fourier …

extension to stochastic volatility, while using option data for Apple (AAPL) and Google (GOOG). We find that recalibrating a …

In the past years, there has been an extensive investigation of the class of stochastic volatility models for the …-Scholes economy and accounting for discrepancies between observation and predictions in the simple log-normal, constant-volatility … model. In this paper, we study the structure of an options market with a stochastic volatility that will eventually vanish …

In the past years, there has been an extensive investigation of the class of stochastic volatility models for the …-Scholes economy and accounting for discrepancies between observation and predictions in the simple log-normal, constant-volatility … model. In this paper, we study the structure of an options market with a stochastic volatility that will eventually vanish …

shifts and stochastic volatility. The filter adapts to regime shifts extremely rapidly and delivers a clear heuristic for … distinguishing between regime shifts and stochastic volatility, even though the model dynamics assumed by the filter exhibit neither …

The paper examines the relative performance of Stochastic Volatility (SV) and Generalised Autoregressive Conditional … Heteroscedasticity (GARCH) (1,1) models fitted to ten years of daily data for FTSE. As a benchmark, we used the realized volatility (RV … standard volatility models if the simple expedient of using lagged squared demeaned daily returns provides a better RV …

We propose novel nonparametric estimators for stochastic volatility and the volatility of volatility. In doing so, we … relax the assumption of a constant volatility of volatility and therefore, we allow the volatility of volatility to vary … Standard & Poor´s 500 equity index, the estimates revealed strong evidence that both volatility and the volatility of …