> Expected Return & Standard Deviation?

Expected Return & Standard Deviation?

Posted at: 2014-12-05 
E(r) = [-10 + 5 + 17 -2) / 4 = 2.5

variance = [(-0.10 - 0.025)^2 + (0.05 - 0.025)^2 + (0.17 - 0.025)^2 +(-0.02 - 0.025)^2] / 4

= 0.0393 / 4

= 0.00983

std dev is the square root of variance

s = 0.00983^1/2

= 0.09912, or 9.91%

answer is b

Suppose you have the following data on an asset's historical returns:

Year 1 2 3 4

Return -10% 5% 17% -2%

Calculate the expected return and the standard deviation for this asset.

a.

E(r) = 2.50%; Std(r) = 19.82%

b.

E(r) = 2.50%; Std(r) = 9.91%

c.

E(r) = -2.50%; Std(r) = 9.91%

d.

E(r) = 2.50%; Std(r) = 11.45%