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...

We solve a multi-period portfolio optimization problem using D-Wave Systems' quantum annealer. We derive a formulation of the problem, discuss several possible integer encoding schemes, and present numerical examples that show high success rates. The formulation incorporates transaction costs...

For large portfolio managers, a sequence of single-period optimal positions is rarely multi-period optimal. In particular, transaction costs can prevent large portfolio managers from monetizing most of their forecasting power. The solution is to compute the trading trajectory that comes...

The R package DEoptim implements the differential evolution algorithm. This algorithm is an evolutionary technique similar to genetic algorithms that is useful for the solution of global optimization problems. In this note we provide an introduction to the package and demonstrate its utility for...

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...

This work aims to provide a representation theorem for consumption in simplex in continuous time by using a weaker axiom of ’Agree with’, a strong axiom of ’Preferential Independence’,[10, 9], and axioms of ’Separability’ and ’Measurability’ on Simplex provided by Qin and...

This paper will discuss portfolio optimization, Quadratic Programming (QP) and Second Order Cone Programming (SOCP). We will use simulated and empirical data to compare the two optimization routines. Daily data for SP500 stocks from 2005 to 2010 was used to show that a 20-days rebalanced...