volatility derivatives. In the first part, the book develops a unifying theory for the analysis of contingent claims under both …This book presents a factor-based model of the stochastic evolution of the implied volatility surface. The model allows … the real-world measure and the risk-neutral measure in an environment of stochastic implied volatility. On the basis of …

effects, i.e., it is possible that the structure of the volatility surface changes without a change in the volatility level … state, I show that this superior performance is directly linked to a third volatility factor which is unrelated to the … volatility level. The second chapter studies the price of the smile, which is defined as the premia for individual option risk …