Our objective is to understand the trading strategy that would allow an investor to take advantage of quot;excessivequot; stock price volatility and quot;sentimentquot; fluctuations. We construct a general equilibrium model of sentiment. In it, there are two classes of agents and stock prices...

We introduce a simulation method for dynamic portfolio valuation and risk management building on machine learning with kernels. We learn the dynamic value process of a portfolio from a finite sample of its cumulative cash flow. The learned value process is given in closed form thanks to a...

We model the dynamics of asset prices and associated derivatives by consideration of the dynamics of the conditional probability density process for the value of an asset at some specified time in the future. In the case where the asset is driven by Brownian motion, an associated "master...