It remained prevalent in the past years to obtain the precommitment strategies for Markowitz’s mean-variance portfolio optimization problems, but not much is known about their time-consistent strategies. This paper takes a step to investigate the time-consistent Nash equilibrium strategies for a multiperiod mean-variance portfolio selection problem. Under the assumption that the risk aversion i...

We investigate multiperiod portfolio selection problems in a Black & Scholes type market where a basket of 1 riskfree and m risky securities are traded continuously. We look for the optimal allocation of wealth within the class of ’constant mix’ portfolios. First, we consider the portfolio selection problem of a decision maker who invests money at predetermined points in time in order to obtain...

In this paper we start off by reviewing the literature on how to extend the meanvariance portfolio model to multi-stage portfolio problems. We then apply a multiperiod portfolio selection model to power generation assets, which is based on a reallocation methodology with scenario tree. Two solution approaches are used: the multi-period rebalancing model and the global solution one. These approa...

This paper discusses a simulation-based method for solving discrete-time multiperiod portfolio choice problems under AR 1 process. The method is applicable even if the distributions of return processes are unknown. We first generate simulation sample paths of the random returns by using AR bootstrap. Then, for each sample path and each investment time, we obtain an optimal portfolio estimator, ...

In this paper we discuss multiperiod portfolio selection problems related to a speci…c provisioning problem. Our results are an extension of Dhaene et al. (2005), where optimal constant mix investment strategies are obtained in a provisioning and savings context, using an analytical approach based on the concept of comonotonicity. We derive convex bounds that can be used to estimate the provisi...

We present a new multiagent model for the multiperiod portfolio selection problem. Individual agents receive a share of initial wealth, and follow an investment strategy that adjusts their portfolio as they observe movements of the market over time. The agents share their wealth at the end of the nal investment period. We show that a multiagent system can outperform a single agent that invests ...

Portfolio management is one of the most important areas of research in financial engineering. This paper is concerned with multi period decision problem for financial asset allocation when the rate of borrowing is greater than the rate of lending. Transaction costs as a source of concern for portfolio managers is also considered in this paper. The proposed method of this paper is formulated in ...

The proper description of dynamic information correlation among individual stages is very important for the construction of multi-period risk measure and the selection of optimal investment strategy. To overcome the limitations of existing random frameworks, we initially introduce a ”two-level” structure to describe the dynamic information evolution: the outer-level describes endogenous marcoma...

projects scheduling by the project portfolio selection, something that has its own complexity and its flexibility, can create different composition of the project portfolio. an integer programming model is formulated for the project portfolio selection and scheduling.two heuristic algorithms, genetic algorithm (ga) and simulated annealing (sa), are presented to solve the problem. results of cal...