Introduction -- Volatility and its estimation -- Overview of volatility derivatives -- Options delta hedging with no options at all -- Volatility derivatives in portfolio optimization -- Benefits of using volatility futures in investment strategies -- Predictive properties of the volatility term...

In this paper, we compared several Black option pricing models by applying different measures of volatility and examined the Black model with historical (BHV), implied (BIV), and several different types of realized (BRV) volatility. The main objective of the study was to find the best model;...

This paper compares option pricing models, based on the Black model (Black, 1976), with particular emphasis on volatility measures and estimators applied in the process of valuation. We calculate the Black model with historical (BHV), implied (BIV) and several different types of realized (BRV)...

Option pricing models are the main subject of many research papers prepared both in academia and financial industry. We check the properties of option pricing models with different assumptions concerning the volatility process (historical, realized, implied, stochastic or GARCH model). For this...

The article presents a simple parameterization of the volatility surface for options on the S&P 500 volatility index, VIX. Specifically, we document the following features of VIX implied volatility: (i) VIX at-the-money (ATM) implied volatility correlates strongly with the volatility skew in S&P...

The adjustment speed of delta hedged options exposure depends on the market realized and implied volatility. We observe that by consistently hedging long and short positions in options we can eventually end up with pure exposure to volatility without any options in the portfolio at all. The...