This paper compares option pricing models, based on Black model notion (Black, 1976), especially focusing on the volatility models implied in the process of pricing. We calculated the Black model with historical (BHV), implied (BIV) and several different types of realized (BRV) volatility...

Modeling of financial markets volatility is one of the most significant issues of contemporary finance, especially with regard to analyzing high-frequency data. Accurate quantification and forecast of volatility are of immense importance in risk management (VaR models, stress testing and...

This paper focuses on volatility of financial markets, which is one of the most important issues in finance, especially with regard to modeling high-frequency data. Risk management, asset pricing and option valuation techniques are the areas where the concept of volatility estimators...

The paper was aimed at verifying the efficiency (from the informational point of view in the weak form) for the WIG20 index units and futures contracts listed on the Warsaw Stock Exchange. The first stage of the research consisted in the optimization of parameters for selected TA (Technical...

We suggest that the term structure of volatility futures (e.g. VIX futures) shows a clear pattern of dependence on the current level of VIX index. At the low level of VIX (below 20) the term structure is highly upward sloping; at the high VIX level (over 30) it is strongly downward sloping. We...

This paper focuses on one of the heavily tested issues in the contemporary finance, i.e. efficient market hypothesis (EMH). The existing evidence in the literature is ambiguous. For some markets, the departure from efficiency is observed only when High Frequency (HF) data are analysed....

Option pricing models are the main subject of many research papers prepared both in academia and financial industry. Using high-frequency data for Nikkei225 index options, we check the properties of option pricing models with different assumptions concerning the volatility process (historical,...