EXPERT OPINIONS AND LOGARITHMIC UTILITY MAXIMIZATION FOR MULTIVARIATE STOCK RETURNS WITH GAUSSIAN DRIFT

Multivariate utility maximization with proportional transaction costs

We present an optimal investment theorem for a currency exchange model with random and possibly discontinuous proportional transaction costs. The investor’s preferences are represented by a multivariate utility function, allowing for simultaneous consumption of any prescribed selection of the currencies at a given terminal date. We prove the existence of an optimal portfolio process under the a...

Model for non-Gaussian intraday stock returns.

Stock prices are known to exhibit non-Gaussian dynamics, and there is much interest in understanding the origin of this behavior. Here, we present a model that explains the shape and scaling of the distribution of intraday stock price fluctuations (called intraday returns) and verify the model using a large database for several stocks traded on the London Stock Exchange. We provide evidence tha...

Multivariate Utility Maximization with Proportional Transaction Costs and Random Endowment

In this paper we deal with a utility maximization problem at finite horizon on a continuous-time market with conical (and time varying) constraints (particularly suited to model a currency market with proportional transaction costs). In particular, we extend the results in [CO10] to the situation where the agent is initially endowed with a random and possibly unbounded quantity of assets. We st...

A Gaussian Model of Expert Opinions for Supporting Design Decisions

Forecasting with Expert Opinions

Background In 2003 the Wall Street Journal (WSJ) introduced its Monthly Economic Forecasting Survey. Each month the WSJ polls between 50 and 60 well-known economic experts asking their forecasts of future key economic variables such as GDP, inflation, US treasury rates, unemployment, housing starts, and other data. The forecasts are always for set times of the year, namely the ends of the first...