This work aims the development of an enhanced portfolio selection method, which is based on the classical portfolio theory proposed by Markowitz (1952) and incorporates the local Gaussian correlation model for optimization. This novel method of portfolio selection incorporates two assumptions: the non-linearity of returns and the empirical observation that the relation between assets is dynamic...

This paper features an analysis of the effectiveness of a range of portfolio diversification strategies as applied to a set of daily arithmetically compounded returns on a set of ten market indices representing the major European markets for a nine year period from the beginning of 2005 to the end of 2013. The sample period, which incorporates the periods of both the Global Financial Crisis (GF...

This paper features an analysis of the effectiveness of a range of portfolio diversification strategies, with a focus on down-side risk metrics, as a portfolio diversification strategy in a European market context. We apply these measures to a set of daily arithmetically-compounded returns, in U.S. dollar terms, on a set of ten market indices representing the major European markets for a nine-y...

In this tutorial paper we introduce different approaches to Markowitz portfolio optimization, and we show how to solve such problems in MATLAB, R and Python using the MOSEK optimization toolbox for MATLAB, the Rmosek package, and the MOSEK Python API, respectively. We first consider conic formulations of the basic portfolio selection problem, and we then discuss more advanced models for transac...

The Markowitz mean-variance optimization model is a widely used tool for portfolio selection. However, in order to capture real world restrictions on actual investments, a Limited Asset Markowitz (LAM) model with the introduction of quantity and cardinality constraints has been considered. These two constraints have been modelled by adding binary variables to the Markowitz model, thus resulting...

The Markowitz mean-variance optimization model is a widely used tool for portfolio selection. However, in order to capture real world restrictions on actual investments, a Limited Asset Markowitz (LAM) model with the introduction of quantity and cardinality constraints has been considered. These two constraints have been modelled by adding binary variables to the Markowitz model, thus resulting...