This paper prepared for the Handbook of Statistics (Vol.14: "Statistical Methods in Finance"), surveys the subject of stochastic volatility. The following subjects are covered: volatility in financial markets (instantaneous volatility of asset returns, implied volatilities in option prices and...

Classical quantitative finance models such as the Geometric Brownian Motion or its later extensions such as local or stochastic volatility models do not make sense when seen from a physics-based perspective, as they are all equivalent to a negative mass oscillator with a noise. This paper...

Estimation du prix d'une option sur maximum proche de sa maturite.

This paper examines the optimal consumption and investment problem for a "large" investor, whose portfolio choices affect the instantaneous expected returns on the traded assets.

This paper uses a multi-asset framework to investigate the ramifications of transaction costs on international portfolio allocations. I employ numerical simulation techniques to study the evolution of an international portfolio and the behavior of net equity purchases, and compare the model's...

This paper reviews the behavior of stock prices in relation to consumption. The paper lists some important stylized facts that characterize US data, and relates them to recent developments in equilibrium asset pricing theory. Data from other countries are examined to see which features of the US...