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What is half the contrast?


What is half the contrast?
Quasi-variance is a measure of data that can be used to estimate potential downside risks for an investment portfolio. Quasi-variance is calculated by measuring the dispersion of all observations that fall below the mean or target value of a set of data. Half of the variance is the mean of the squared deviations of the values that are below the mean.
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The main concerns
The quasi-variance equation can be used to measure downside risk for a portfolio.
Semivariance considers only observations that are below the mean of the data set.
Spreadsheet software can be useful in calculating the semi-variance for your business portfolio.
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Understanding quasi-contrast
The semi-contrast formula is
\ start {align} & \ text {Semivariance} = \ frac1n \ times \ sum ^ n_ {r_t<\ text {Average}} (\ text {Average} -r_t) ^ 2 \\ & \ textbf {where:} \ \ & n = \ text {Total number of below average notes} \\ &r_t = \ text {Observed value} \\ & \ text {Average} = \ text {Average or target value of data set} \ end {alignment}

Half the variance =
N
1
X
s
R
<Average

N
(Medium - p
R
)
2

Where:
n = total number of notes below average
s
R
= Observed Value
Average = the mean or target value of the data set

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What does the pseudo-contrast tell you?
Contrast is similar to quasi-contrast, but it only considers below-average observations. Semivariance is a useful tool in portfolio or asset analysis because it provides a measure of downside risk.

While standard deviation and variance provide measures of volatility, quasi-variance only looks at the negative volatility of an asset. Quasi-variance can be used to calculate the average loss that a portfolio can incur because it deviates all values above the average, or above, the investor's target return.
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For risk averse investors, identifying optimal portfolio allocations by minimizing partial covariance can reduce the likelihood of a significant depreciation of the portfolio.

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Calculate using a spreadsheet
To use a spreadsheet program to calculate the quasi-variance:

Create a column - for example, Column A - that contains all of the returns in the portfolio.
Remove all returns above average from Column A.
In column B, subtract the remaining returns in column A from the mean.
In column C, square the difference, find the sum, and divide the sum by the number of returns that are below the mean.
Different spreadsheets may have different functions and some have easier ways or shortcuts to perform this calculation.

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Last Update : Sep 22, 2020 8:50 AM
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2020-09-23 (0.098 sec)