A decomposition of a sub-class of spectral risk measures is introduced in terms of L-moments accounting for geometric characteristics of the return distribution similar to the ones described by the ordinary moments. The decomposition characterizes completely the spectral risk measures with...

In an incomplete market we study the optimal consumption-portfolio decision of an investor with recursive preferences of Epstein-Zin type. Applying a classical dynamic programming approach, we formulate the associated Hamilton-Jacobi-Bellman equation and provide a suitable verification theorem....

The paper deals with taxation effects on optimal portfolio rules of de fined contribution (DC) and de fined benefi t (DB) pension funds in a continuous-time setting. Following practice, three tax types are considered: on contributions, investment gains and pensions. We focus on the tax effects...

We analyze the rationale for the pay-as-you-go (paygo) pension system existence on diversi fication grounds. A continuous-time portfolio choice setting is built, basing on Merton (1971)´s analysis, where a reasonable balance between the taking account of the economic and fi nancial facets of...

We construct portfolios with an alternative selection criterion, the Omega function, which can be expressed as the ratio of two partial moments of a portfolio's return distribution. The main purpose of the paper is to investigate the empirical performance of the selected portfolios, especially...

As the dynamic mean-variance portfolio selection formulation does not satisfy the principle of optimality of dynamic programming, phenomena of time inconsistency occur, i.e., investors may have incentives to deviate from the pre-committed optimal mean-variance portfolio policy during the...

In the paper, we consider the application of the theory of probability metrics in several areas in the eld of nance. First, we argue that specially structured probability metrics can be used to quantify stochastic dominance relations. Second, the methods of the theory of probability metrics can...

We consider classes of reward-risk optimization problems that arise from different choices of reward and risk measures. In certain examples the generic problem reduces to linear or quadratic programming problems. We state an algorithm based on a sequence of convex feasibility problems for the...

We address the multi-period portfolio optimization problem with the constant rebalancing strategy. This problem is formulated as a polynomial optimization problem (POP) by using a mean-variance criterion. In order to solve the POPs of high degree, we develop a cutting-plane algorithm based on...

We develop the idea of using Monte Carlo sampling of random portfolios to solve portfolio investment problems. In this first paper we explore the need for more general optimization tools, and consider the means by which constrained random portfolios may be generated. A practical scheme for the...