For the problem of continuous time optimal portfolio selection, we found that the optimal strategies for investors with different performance criterions can be constructed using a limited number of fixed processes (mutual funds), for a incomplete market with a larger number of available risky...

We describe how networks based on information theory can help measure and visualize systemic risk, enhance diversification, and help price assets. To do this, we first define a distance measure based on the mutual information between asset pairs and use this measure in the construction of...

While it is common knowledge that portfolio separation in a continuous-time lognormal market is due to the basic properties of the Gaussian distribution, the usual textbook exposition relies on dynamic programming and thus Itô stochastic calculus and the appropriate regularity conditions. This...

The pseudo-isotropic multivariate distributions are shown to satisfy Ross' stochastic dominance criterion for two-fund monetary separation. The classical case of separation under abence of risk-free investment opportunity, admits a few particular generalizations to k-fund separation for...

The two fund separation property of the elliptical distributions is extended to the skew-elliptical and by adding a number of funds equalling the rank of the skewness matrix. Some elements of the generalization to singular extended skew-elliptical distributions are covered. -- Portfolio...

We present a novel measure to declare a magnitude of the difference between fund's prospectus investment styles and the fund's actual investment styles on a long- term basis. Our measure incorporates parameter uncertainty in its measurement and through a sequence of pair-wise comparisons of the...

In this paper, we propose a method for hedge fund replication using a factor-based model supplemented with a series of risk and return constraints that implicitly target all the moments of the hedge fund return distribution. We use the approach to replicate the monthly returns of ten broad hedge...

This paper studies the relationship between mutual fund manager investment horizons and managerial risk-taking decisions. I find that in general mutual funds reporting longer maximum evaluation horizons have lower risk levels. The low risk levels helped these funds mitigate their losses in the...

The phrase long-term investing in triple leveraged ETFs is somewhat of an anathema for investment academicians. As a result of daily rebalancing and so-called beta slippage or “the constant leverage trap” it is highly likely over the long term to significantly deviate from the targeted...

This paper introduces a general continuous-time mathematical framework for solution of dynamic mean-variance control problems. We obtain theoretical results for two classes of functionals: the first one depends on the whole trajectory of the controlled process and the second one is based on its...