Mathematical Finance Seminar

April 3, 2003 , 5:30 PM to 7:00 PM

Robert Fernholtz, INTECH Asset Management

Stochastic Portfolio Theory

Stochastic portfolio theory is a mathematical framework for constructing portfolios, analyzing the behavior of portfolios, and understanding the structure of equity markets. This talk is an introduction to the central concepts of the theory: the logarithmic representation for stock prices, diversity of equity markets, portfolio generating functions and the existence of arbitrage, and the use of ranked market weights for analyzing equity market structure. A number of open problems will be discussed.