In this paper, a level set analysis is proposed which aims to analyze the S&P 500 return with a certain magnitude. It is found that the process of large jumps/drops of return tend to have negative serial correlation, and volatility clustering phenomenon can be easily seen. Then, a nonparametric...

Key Features:This book discusses some frontiers of Gaussian processes analysis and their associated Wick-Ito formula. For the first time, the studies of fractional Brownian motion is put into the framework of fractional white noise multiplication operatorsSome up-to-date treatment is of the...

In the recent work of Dempster, Evstigneev and Taksar (2006) it has been shown that the von Neumann-Gale model of economic dynamics can serve as a convenient and natural framework for the analysis of questions of asset pricing and hedging under transaction costs. The present article focuses on a...