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...

We propose a model of a loss averse investor who aims to maximize his expected wealth under certain constraints. The constraints are that he avoids, with high probability, incurring an (suitably defined) unacceptable loss. The methodology employed comes from the theory of large deviations. We...

In this paper, we discuss the portfolio selection problem with transaction costs under the assumption that there exist admissible errors on expected returns and risks of assets. We propose a new admissible efficient portfolio selection model and design an improved particle swarm optimization...

One index satisfies the duality axiom if one agent, who is uniformly more risk-averse than another, accepts a gamble, the latter accepts any less risky gamble under the index. Aumann and Serrano (2008) show that only one index defined for so-called gambles satisfies the duality and positive...