# Markowitz efficient portfolio

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## Markowitz efficient portfolio

Also called a mean-variance efficient portfolio, a portfolio that has the highest expected return at a given level of risk.

## Markowitz Efficient Portfolio

In Markowitz Portfolio Theory, a portfolio with the highest level of return at a given level of risk. One who carries such a portfolio cannot further diversify to increase the expected rate of return without accepting a greater amount of risk. Likewise one cannot decrease his/her exposure to risk without proportionately decreasing the expected return. A Markowitz efficient portfolio is determined mathematically and plotted on a chart with risk as the x-axis and expected return as the y-axis. See also: Markowitz efficient set of portfolios, Homogeneous expectations assumption.
References in periodicals archive ?
Markowitz used mean-variance analysis to form efficient portfolios, namely portfolios that provide the highest returns for a certain level of risk.
Under the assumption of the economic rationality, investors choose to keep efficient portfolios, i.e., portfolios that maximize the return for a certain level of risk or that minimize the risk for a certain level of expected return.
Markowitz [5] first introduced the theory of mean-variance efficient portfolios and also gave his critical line method for finding these.
Thus, investors seeking higher return must select higher risk but less efficient portfolios. Utility maximization is troublesome because portfolio excess return per unit of risk is not constant because of the inability to short sell the risk-free asset.
In a next step, we calculate the corresponding market risk capital charges under the standard formula as well as the internal model to identify those efficient portfolios that are attainable for an exogenously given amount of equity.
However, with the asset preselection process, the assets that may not be potentially included in the final portfolio are removed thereby reducing the computational time substantially while improving the quality of the generated efficient portfolios within the same number of function evaluations.
Yu (2003) considers the question of choosing efficient portfolios of energy and ancillary services sales by a generation owners able to sell in spatially distributed wholesale electricity markets.
Sarasin Systematic Efficient Approach is focused on constructing highly efficient portfolios in a more robust way by addressing the stability problem of the Sharpe ratio through Sarasin & Partners' proprietary efficiency technique.
The project will work on aligning support services into efficient portfolios designed as policy mixes, finding synergies among different services and targeting specific support at appropriate segments of SME population.
Alexander and Baptista (2004) rely on Merton (1972) when analyzing mean-VaR efficient portfolios. In contrast, the present paper uses the computationally simple method of envelope portfolios developed by Black (1972) to derive the efficient frontier.
The firm offers a comprehensive suite of single-asset and multi-asset solutions designed to serve as powerful building blocks for smarter, more efficient portfolios. Strategies are offered in the form of open- and closed-end funds and separately managed accounts.
(i) Efficient Portfolios and Optimal Asset Allocations:

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