We consider the determination of optimal portfolios under a lower bound on the final wealth. Possible applications range from capital guarantee strategies over life insurance investment where part of the benefit is a guaranteed return on capital to continuous-time mean-variance problems with a...

Given an investor maximizing utility from terminal wealth with respect to a power utility function, we present a verification result for portfolio problems with stochastic volatility. Applying this result, we solve the portfolio problem for Heston's stochastic volatility model. We find that only...

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...

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...

We study survival, price impact and portfolio impact in heterogeneous economies. We show that, under the equilibrium risk-neutral measure, long-run price impact is in fact equivalent to survival, whereas longrun portfolio impact is equivalent to survival under an agent-specific, wealth-forward...

Current renewable portfolio standards in Illinois call for 25% of the state’s energy to be met through renewable means by 2025, with 75% of this requirement to come from wind. The problematic intermittency of wind might be overcome by a geographically disperse portfolio of wind farms. Using...