# Minimum-variance portfolio

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## Minimum-variance portfolio

The portfolio of risky assets with lowest variance.

## Minimum-Variance Portfolio

A portfolio of individually risky assets that, when taken together, result in the lowest possible risk level for the rate of expected return. Such a portfolio hedges each investment with an offsetting investment; the individual investor's choice on how much to offset investments depends on the level of risk and expected return he/she is willing to accept. The investments in a minimum variance portfolio are individually riskier than the portfolio as a whole. The name of the term comes from how it is mathematically expressed in Markowitz Portfolio Theory, in which volatility is used as a replacement for risk, and in which less variance in volatility correlates to less risk in an investment.
References in periodicals archive ?
However, the discrete-time model is more in line with actual investment of financial markets, and the realization of continuous time model usually requires discrete means, so this paper studies the minimum variance portfolio selection when there's the liquid asset in the discrete-time financial market.
The study found that minimum variance portfolio showed best performance.
Yilmaz (2010) provides evidence for the improved covariance estimation using the DCC-GARCH model for a global minimum variance portfolio by using data from the Istanbul Stock Exchange.
In addition to risk parity, risk-based strategies include minimum variance portfolio theory and maximum diversification.
Next, a multi-objective optimization problem is formulated, where a minimum variance portfolio achieves maximum effect of diversification.
The variance of a minimum variance portfolio p can be obtained by analytically solving Markowitz's mean-variance model (8).
The global minimum variance portfolio of a collection of risky assets is defined as the efficient trading position that entails the lowest level of variance and is located to the utmost left of the efficient frontier.
To compute the minimum variance portfolio select the Portfolio worksheet and go to Tools>Solver.
The minimum variance portfolio had an average rate of return of 13.70 percent and a standard deviation of 11.79 percent.
portfolio, which is the minimum variance portfolio for the
TABLE 4 Asset Correlations and Optimal Portfolio Weights, Returns, and Standard Deviations Entire Sample: 1993:Q4-2009:Q4 VLSI S&P 500 LT Corp Panel A: Correlations VLSI 1 S&P 500 0.067 1 LT Corp 0.020 -0.058 1 Panel B: Minimum Variance Portfolios Weight 3.24% 24.68% 72.08% Return 1.96% 1.36% 1.69% St.
Let us denote [epsilon] as the weight of the lending tangency portfolio and (1 - [epsilon]) as the weight of the borrowing tangency portfolio used to construct a third portfolio on the envelope of minimum variance portfolios for a given expected return.
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