— In this paper we consider multiperiod médian problems on networks, in which multiple facilities are to be located. In order to reduce the choices available for the location of the facilities a number of important properties are studied. For the absolute multiperiod médian the vertex optimality property is established^ and for continuous multiperiod problems, the set of vertices and middle poi...

We consider a two-date model of a financial exchange economy with finitely many agents having financial restricted participation, i.e., each agent’s portfolio choice is restricted to a closed convex set containing zero, as in Siconolfi. There is a market for physical commodities at any state today or tomorrow and financial transfers across time and across states are allowed by means of finitely...

In this study, we show how a dynamic insurance program can be implemented within a mean-variance framework. The approach combines elements of the single period safety first idea suggested by Telser and developed by Leibowitz with multiperiod insurance strategies like CPPI and TIPP. The insurance program allows the user to set a probability of hitting a specified floor or target and also allows ...

I introduce dynamic option trading and non-linear views into the classical portfolio selection problem. The optimal dynamic option portfolio is characterized explicitly in terms of its expected sensitivities (Greeks) and the role of the meanvariance efficient portfolio is played by the “Greek-efficient” portfolio. This is the portfolio that has the optimal sensitivities to chosen risk factors. ...

In this paper, we consider the problem of finding optimal portfolios in cases when the underlying probability model is not perfectly known. For the sake of robustness, a maximin approach is applied which uses a ”confidence set” for the probability distribution. The approach shows the tradeoff between return, risk and robustness in view of the model ambiguity. As a consequence, a monetary value ...

We present an alternating augmented Lagrangian method for convex optimization problems where the cost function is the sum of two terms, one that is separable in the variable blocks, and a second that is separable in the difference between consecutive variable blocks. Examples of such problems include Fused Lasso estimation, total variation denoising, and multiperiod portfolio optimization with ...

Asset allocation is critical for the portfolio management process. In this paper, we solve a dynamic asset allocation problem through a multiperiod stochastic programming model. The objective is to maximise the expected utility of wealth at the end of the planning periods. To improve the optimisation result of the model, we employ swarm intelligent optimisers, the Bacterial Foraging Optimisatio...

This paper discusses how to introduce liquidity into the well known mean-variance framework of portfolio selection using a representative sample of Spanish equity portfolios. Either by estimating mean-variance liquidity constrained frontiers or directly estimating optimal portfolios for alternative levels of risk aversion and preference for liquidity, we obtain strong effects of liquidity on op...

On the basis of Markowitz mean-variance framework, a new optimal portfolio selection approach is presented. The portfolio selection model proposed in the approach includes the expected return, the risk, and especially a quadratic type transaction cost of a portfolio. Using this model may yield an optimal portfolio solution that maximizes return, and minimizes risk, as well as also minimizes tra...

In this article, I explicitly solve dynamic portfolio choice problems, up to the solution of an ordinary differential equation (ODE), when the asset returns are quadratic and the agent has a constant relative risk aversion (CRRA) coefficient. My solution includes as special cases many existing explicit solutions of dynamic portfolio choice problems. I also present three applications that are no...