Diversification has been long considered an essential part of investing for the long term. Our paper aims to look further on portfolio diversification and how asset allocation can be optimized. We suggest that the selection of investments in a portfolio should be based on how the market behaves...

The rapid growth of the voluminous literature on portfolio selection is indicative of widespread interest both amongst academic and business communities. The path breaking works of Nobel Laureates Harry Markowitz, William Sharpe and Robert Merton has evoked a serious interest of researchers...

This paper analyzes the relevance of a set of some performance measures for optimal portfolios including hedge funds. Four criteria are considered: the Sharpe Ratio, the Returns on VaR and on CVaR, and the Omega performance measure. The results are illustrated by an allocation on several...

Several risk-return portfolio models take into account practical limitations on the number of assets to include in the portfolio and on their weights. We present here a comparative study, both from the efficiency and from the performance viewpoint, of the Limited Asset Markowitz (LAM), the...

The present paper analyses an optimal consumption and investment problem of a retiree with a constant relative risk aversion (CRRA) who faces parameter uncertainty about the financial market.We solve the optimization problem under partial information by making the market observationally complete...

Index tracking has long been of interest for both industry of fund management andacademia. Various methods have been proposed and tested and various issues arediscussed throughout the past 30 years. Yet one issue remains unresolved is how toperform stock selection optimally. In this paper, I...

An optimal portfolio with the highest possible Sharpe ratio plays an important role for capital allocation and performance evaluation. This paper introduces a simple algorithm for finding the Sharpe-optimal portfolio without solving a non-linear problem. The results are tested on S&P 100...

This chapter gives an overview of current research in evolutionary finance. We mainly focus on the survival and stability properties of investment strategies associated with the Kelly rule. Our approach to the study of the wealth dynamics of investment strategies is inspired by Darwinian ideas...

We implement a long-horizon static and dynamic portfolio allocation involving a risk-free and a risky asset. This model is calibrated at a quarterly frequency for ten European countries. We also use maximum-likelihood estimates and Bayesian estimates to account for parameter uncertainty. We find...