In one model of portfolio choice, dating to the Safety First principle, the investor is assumed to select assets to minimize the probability of realizing a portfolio return below some pre-determined target or benchmark rate of return. This paper builds on a recent refinement of Safety...

In this work we propose the construction of optimized forecast-portfolios where analysts are thought of as “assets” with specific characteristics that may be combined in portfolios. The analysts’ forecasts were made about the German stock market index DAX on a 6-month horizon as provided...

This paper presents a novel framework for selecting socially responsible investment (SRI) portfolios. The Hedonic Price Method (HPM) is applied to obtain an evaluation of SRI criteria that is integrated into a multi-objective mathematical programming model. The HPM breaks away from the...

In this paper, we formulate a single-period portfolio choice problem with parameter uncertainty in the framework of relative regret. Relative regret evaluates a portfolio by comparing its return to a family of benchmarks, where the benchmarks are the wealths of fictitious investors who invest...

An on-line portfolio selection strategy with transaction costs is presented. It ensures investors to achieve at least the same exponential growth rate of wealth as the best stock for a long term. This equipped with a new prediction method based on “cross rates” for price relative sequences...

Stochastic orders and inequalities are very useful tools in various areas of economics and finance. The purpose of this paper is to describe main results obtained so far by using the idea of stochastic orders in financial optimization. Especially, the emphasis is placed on the demand and shift...

This paper presents an efficient method to compute portfolio risk and return. Two methodologies are exposed in evaluating portfolio performance by aggregation of securities returns: the first one is based on local approximations of the compounding capitalization formula; in the alternative...

In this paper, an optimal portfolio selection problem is formulated as a minimax problem in which tax and dividend are associated with transactions. The corresponding optimal portfolio is derived respectively in the market with and without riskless asset. Furthermore, the relation and main...

In this working paper we study some properties of a particular mapping in Rn related to an optimization problem with one equality constraint. We motivate the definition of the relevant mapping starting from a portfolio selection problem, in which we minimize the risk of an investment (the...

In this paper, we focus on the estimation of a high-dimensional precision matrix. We propose a simple improvement of the graphical lasso framework (glasso) that is able to attain better statistical performance without sacrificing too much the computational cost. The proposed improvement is based...