This paper evaluates the role of various volatility specifications, such as multiple stochastic volatility (SV) factors …, (2) affine models have to have a jump in returns, stochastic volatility or probably both. Models (1) and (2) are … observationally equivalent on the data set in hand. In either (1) or (2) the key is that the volatility can move violently. As we …

factors such as stochastic volatility. …

This article is centred on the volatility of commodity prices. It presents the instruments offering a protection … against volatility and shows how they can be employed. The first section exposes these derivative instruments. It … volatility of crude oil futures prices illustrates the presentation. The last section underlines the interest of the information …