Compute Where and S Is the Upper Half

question 42

Essay

Compute where and S is the upper half of the sphere of radius 2; that is, with upward-pointing normal.

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Definitions:

Mean-Variance Efficient

A portfolio optimization strategy that aims to achieve the highest return for a given level of risk, or the lowest risk for a given level of return, based on mean (average return) and variance (risk).

Single-Index Structure

A model that describes the returns of stocks based on a singular market index, explaining stock movements with overall market movements.

Covariances

A measure of the degree to which two variables move in relation to each other.

Mean-Variance Efficient

A portfolio construction strategy that aims to achieve the highest expected return for a given level of risk by optimizing the mix of investments.