Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y. 
Returns  
Year  X  Y  
1  9 %  20 %  
2  27  41  
3  16  14  
4  17  28  
5  18  49  

a) arithmetic average return for X = (9+27+1617+18)/5 = 10.6%
b) arithmetic average return for Y = (20+411428+49)/5 = 13.6%
c) variance for X = [(0.090.106)^{2} + (0.270.106)^{2} + (0.160.106)^{2} + (0.170.106)^{2} + (0.180.106)^{2}]/(51)
= 0.027930
d) variance for Y = [(0.20.136)^{2} + (0.410.136)^{2} + (0.140.136)^{2} + (0.280.136)^{2} + (0.490.106)^{2}]/(51)
= 0.113430
e) standard deviation for X = sqrt(0.027930) = 16.71%
f) standard deviation for Y = sqrt(0.113430) = 33.68%
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