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You agree with calculation of the SD as shown below?
Variance measures the dispersion of points around the mean of a distribution. In this context, we are attempting to characterize the variability of possible future security returns around the expected return. In other words, we are trying to quantify risk and return. Variance measures the total risk of the possible returns.
State of Economy
Probability
Return (%)
Squared Deviation
Product (Dev*Prob)
+1% change in GDP
.25
-5
400
100
+2% change in GDP
.50
15
0
+3% change in GDP
35
Total
1.00
E(R) = 15
s2 = 200
Standard deviation = square root of variance = 14.14%
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