We model the dynamics of asset prices and associated derivatives by considerationof the dynamics of the conditional probability density process for the value of an assetat some specied time in the future. In the case where the asset is driven by Brownianmotion, an associated \master equation"...

We provide a representation for the nonmyopic optimal portfolio of an agentconsuming only at the terminal horizon when the single state variable follows ageneral diusion process and the market consists of one risky asset and a risk-freeasset. The key term of our representation is a new object...

Applied researchers often test for the difference of the variance of two investment strategies;in particular, when the investment strategies under consideration aim to implementthe global minimum variance portfolio. A popular tool to this end is the F-test for theequality of variances....

Many statistical applications require an estimate of a covariance matrix and/or its inverse.When the matrix dimension is large compared to the sample size, which happensfrequently, the sample covariance matrix is known to perform poorly and may suffer fromill-conditioning. There already exists...

It is well known that non-normality plays an important role in asset and risk management.However, handling a large number of assets has long been a challenge.In this paper, we present a statistical technique that extends Principal ComponentAnalysis to higher moments such as skewness and...

It is well known that mean-variance portfolio selection is a time-inconsistent optimalcontrol problem in the sense that it does not satisfy Bellman’s optimalityprinciple and therefore the usual dynamic programming approach fails. We developa time-consistent formulation of this problem, which...

We implement a long-horizon static and dynamic portfolio allocation involvinga risk-free and a risky asset. This model is calibrated at a quarterly frequencyfor ten European countries. We also use maximum-likelihood estimates andBayesian estimates to account for parameter uncertainty. We nd that...

In this paper, we investigate the asymmetry in the tail dependence between USequity portfolios and the aggregate US market. Given the limited number of ob-servations in the tails of a joint distribution, standard non-parametric measures oftail dependence often have poor nite-sample properties....

This is the first study to show evidence of liquidity risk in private equity returns.Our data contains cash flows for 4,403 liquidated investments, which are both successfuland unsuccessful, reducing sample selection bias to a minimum. We find that a onestandarddeviation positive shock in...

To shed light on the empirical relevance of the limits to arbitrage, we study hedge funds’ trading patterns in the stock market during liquidity crises. Consistent with arbitrageurs’ limited ability to provide liquidity, we find that at the time of liquidity crises hedge funds reduce their...