We apply a two-step strategy to forecast the dynamics of the volatility surface implicit in option prices to all …-post volatility of the minimum-variance portfolio is lower when compared with the equal-weighted portfolio and a minimum …

examines their impact on this index's rate of return and volatility. It focuses on deriving analytic European option prices …

volatility. This paper adopts a Bayesian approach to estimate stock price volatility. We find evidence that overall Bayesian … volatility estimates more closely approximate the implied volatility of stocks derived from traded call and put options prices … compared to historical volatility estimates sourced from IVolatility.com (“IVolatility”). Our evidence suggests use of the …

We introduce a discrete-time model for log-return dynamics with observable volatility and jumps. Our proposal extends … the class of Realized Volatility heterogeneous auto-regressive gamma (HARG) processes adding a jump component with time … compensating for equity, volatility, and jump risks, the generating function under the risk-neutral measure inherits analytical …

, especially on the BS implied volatility. Implied binomial trees (IBT) models capture the variations of the implied volatility … known as "volatility smile". They provide a discrete approximation to the continuous risk neutral process for the underlying … Barle and Cakici (BC). After the formation of IBT we can estimate the implied local volatility and the state price density …

We develop a discrete-time stochastic volatility option pricing model, which exploits the information contained in high …-frequency data. The Realized Volatility (RV) is used as a proxy of the unobservable log-returns volatility. We model its dynamics by … competing time-varying (i.e. GARCH-type) and stochastic volatility pricing models. The pricing improvement can be ascribed to …