We derive a discrete Log-Normal Asset Pricing Model (LAPM) based on log-normal distributed risky asset returns. Providing an analytical description of the efficient frontier in E(Log(R))-STD(Log(R)) space, we than show that under the log-normality of returns' assumption a segmented market...

We consider the determination of portfolio processes yielding the highest worst-case bound for the expected utility from final wealth if the stock price may have uncertain (down) jumps. The optimal portfolios are derived as solutions of non-linear differential equations which itself are...

We study investment problems in a continuous-time setting and conclude that the proper control variables are elasticities to the traded assets or, in the case of stochastic interest rates, (factor) durations. This formulation of a portfolio problem allows us to solve the problems in a kind of...

This paper investigates an optimal investment problem faced by a defined contribution (DC) pension fund manager under inflationary risk. It is assumed that a representative member of a DC pension plan contributes a fixed share of his salary to the pension fund during the finite time horizon [0,...

We investigate optimal buy-and-hold strategies for terminal wealth problems in a multi-period framework. As terminal wealth is a sum of dependent random variables, each of these variables corresponding to an amount of capital that has been invested in a particular asset at a particular date, we...

Risk management is crucial for optimal portfolio management. One of the fastest growing areas in empirical finance is the expansion of financial derivatives. The purpose of this special issue on “Risk Management and Financial Derivatives” is to highlight some areas in which novel...

Estimating covariance matrices is an important part of portfolio selection, risk management, and asset pricing. This paper reviews the recent development in estimating high dimensional covariance matrices, where the number of variables can be greater than the number of observations. The...

The aim of our research was to construct a multi-criteria model for rational investors at bear capital markets. This model should help individual investors in decision-making processes to select optimal stocks portfolios. Applying multi-criteria decision aid methods, three features of stocks...

This paper presents an equilibrium model in a pure exchange economy when investors have three possible sources of heterogeneity. Investors may dier in their beliefs, in their level of risk aversion and in their time preference rate. We study the impact of investors heterogeneity on the...

This paper is dedicated to research of level of profitability and risk in Russian stock market in the period of world crisis 2008-2009 Correlations of Russian stock market with the main world stock indices and prices of energy commodities are discussed Autocorrelation of returns is researched...