We consider the problem of portfolio optimization under VaR risk measure taking into account transaction costs. Fixed costs as well as impact costs as a nonlinear function of trading activity are incorporated in the optimal portfolio model. Thus the obtained model is a nonlinear optimization problem with nonsmooth objective function. The model is solved by an iterative method based on a smoothi...

Markowitz (1952, 1959) laid down the ground-breaking work on the mean-variance analysis. Under his framework, the theoretical optimal allocation vector can be very different from the estimated one for large portfolios due to the intrinsic difficulty of estimating a vast covariance matrix and return vector. This can result in adverse performance in portfolio selected based on empirical data due ...

Given an asset with value , we revisit the Black and Scholes dynamics t S   d log d t S t t         when the driving noise t  is a non-Gaussian super-diffusive stochastic process with variance of the type 2 t t   . This super-diffusive quadratic variance behavior, synthesizes a ballistic component which would occur in strongly fluctuating environments. When    , the assets can, ...

We propose a long term portfolio management method which takes into account a liability. Our approach is based on the LQG (Linear, Quadratic cost, Gaussian) control problem framework and then the optimal portfolio strategy hedges the liability by directly tracking a benchmark process which represents the liability. Two numerical results using empirical data published by Japanese organizations a...

The problem of dynamic portfolio choice with transaction costs is often addressed by constructing a Markov Chain approximationof the continuous timeprice processes. Using this approximation,wepresent an efficient numerical method to determine optimal portfolio strategies under timeand state-dependent drift and proportional transaction costs. This scenario arises when investors have behavioral b...

In this paper, we deal with portfolio selection decisions when the portfolio returns are approximated by stable Paretian distributions. Therefore, we examine some dominance rules to determine the optimal choices of non-satiable risk averse investors. In particular, we first preselect a subclass of assets which are not dominated by the point of view of non-satiable and risk-averse investors. The...

In this paper we present a new mean–variance customer portfolio optimization algorithm for a class of ergodic finite controllable Markov chains. In order to have a realistic result we propose an iterated twostep method for solving the given portfolio constraint problem: (a) the first step is designed to optimize the nonlinear problem using a quadratic programming method for finding the long run...

In the science of operation research and decision theory, selection is the most important process. Selection is a process that studies multiple qualitative and quantitative criteria, related to the science of management, which are mostly incompatible with each other. The multi criteria selection of a renewable energy portfolio is one of the main issues considered in multi criteria literatur...

Abstract. Asset/Liability management, optimal fund design and optimal portfolio selection have been key issues of interest to the (re)insurance and investment banking communities, respectively, for some years especially in the design of advanced risk transfer solutions for clients in the Fortune 500 group of companies. The new concept of limited risk arbitrage investment management in a diffusi...

We propose a consolidated risk measure based on variance and the safety-first principle in a mean-risk portfolio optimization framework. The safety-first principle to financial portfolio selection strategy is modified and improved. Our proposed models are subjected to norm regularization to seek near-optimal stable and sparse portfolios. We compare the cumulative wealth of our preferred propose...