The goal of this research is to present an uncertain multi-period portfolio management (UMPPM) model in the context of fuzzy uncertainty. Accordingly, three objectives including terminal wealth, risk, and liquidity as well as realistic constraints such as budget constraint and cardinality...

The idiosyncratic (microscopic) and systemic (macroscopic) components of market structure have been shown to be responsible for the departure of the optimal mean-variance allocation from the heuristic 'equally-weighted' portfolio. In this paper, we exploit clustering techniques derived from...

A novel method to analyze the impact of transaction costs on a dynamically optimized portfolio is developed. Transaction costs, when taken into account in an incomplete market, generate a liquidity premium which is large enough to address important economic questions, such as the size of the...

With a large number of securities (N) and fewer observations (T), deriving the global minimum variance portfolio requires the inversion of the singular sample covariance matrix of security returns. We introduce the Break-Down Free Generalized Minimum RESidual (BFGMRES), a Krylov subspaces...

This paper analyzes the economic cost of Mean-Variance portfolios that involve asset returns which are smoothed. In this situation, variance and covariance of returns will be understated, resulting in sub-optimal allocation. Certainty equivalent loss (CEL), associated with this ‘smoothed'...

This paper analyzes the effect of the recent market crash on the international diversification of equity portfolios from the perspective of dependence structure. We use the generalized Pareto distribution to fit the left and the right tail of each return distribution in order to evaluate the...

Because the Sharpe ratio only takes into account the first two moments, it wrongly “translates” skewness and excess kurtosis into standard deviation.As a result: It deflates the skill measured on “well-behaved” investments (positive skewness, negative excess kurtosis). It inflates the...

In this paper we consider a general class of diffusion-based models and show that, even in the absence of an Equivalent Local Martingale Measure, the financial market may still be viable, in the sense that strong forms of arbitrage are excluded and portfolio optimisation problems can be...

We generalize the Kelly criterion and the growth-optimal portfolio (GOP) concept beyond log-wealth maximization. We show that models of speculative price dynamics with time change require different compounding algebras leading to GOPs that do not coincide with log-wealth maximization. In...

A widely applied diversification paradigm is the naive diversification choice heuristic. It stipulates that an economic agent allocates equal decision weights to given choice alternatives independent of their individual characteristics. This article provides mathematically and economically sound...