Use the following returns for X and Y.
Returns  
Year  X  Y  
1  21.5  %  25.5  %  
2  –  16.5  –3.5  
3  9.5  27.5  
4  19.0  –14.0  
5  4.5  31.5  

Calculate the average returns for X and Y.
(Do not round
intermediate calculations and enter your answers as a percent
rounded to 2 decimal places, e.g.,
32.16.)
Average returns  
X  %  
Y  %  

Calculate the variances for X and Y. (Do not round intermediate
calculations and round your answers to 6 decimal places, e.g.,
32.161616.)
Variances  
X  
Y  

Calculate the standard deviations for X and Y. (Do not round intermediate
calculations and enter your answers as a percent rounded to 2
decimal places, e.g., 32.16.)
Standard deviations  
X  %  
Y  %  

1)Average return : [X1+X2+X3+X4+X5]/n
X : [21.516.5+9.5+19+4.5]/5
= 38/5= 7.6%
Y : [25.53.5+27.514+31.5]/5
= 67/5
= 13.4%
2)Variance = 1/n[(X1ER)^2+(X2ER)^2+....+(X5ER)^2]
X: 1/5 [(21.57.6)^2+ (16.57.6)^2+ (9.57.6)^2+(197.6)^2+(4.57.6)^2]
1/5 [ 193.21+ 580.81+ 3.61+ 129.96+ 9.61]
1/5 * 917.2
183.44
Y: 1/5 [(25.513.4)^2+(3.513.4)^2+(27.513.4)^2+(1413.4)^2+ (31.513.4)^2]
1/5 [146.41+ 285.61+ 198.81+ 750.76+327.61]
1/5[1709.2]
341.84
3)Standard deviation =square root of variance
X : SR [183.44 ]
13.54%
Y : SR[341.84]
18.49%
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