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Mean-Variance Optimization
Mean-Variance Optimization is a Nobel Prize-winning economic theory. Optimization looks at the expected risk and return of each asset class along with the correlation among asset classes, and determines which combination of asset classes will provide the highest expected return for any risk level. The goal of optimization is to identify asset allocations that maximize returns for a given level of risk or minimize risk for a given level of return. (Ibbotson, 2008)
 
Portfolios below the curve are not efficient. For the same amount of risk you could achieve a greater return on investment.


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