Question

Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for...

Using the following returns, calculate the arithmetic average returns, the variances, and the standard deviations for X and Y.

  

Returns
Year X Y
1 11 %     25 %    
2 29         46        
3 18         -7        
4 -19         -21        
5 20         54        

   

Requirement 1:
(a) Calculate the arithmetic average return for X.
9.56% 14.75% 14.40% 13.33% 11.80%

   

(b) Calculate the arithmetic average return for Y.
15.71% 24.25% 21.92% 23.67% 19.40%

  

Requirement 2:
(a) Calculate the variance for X. (Do not round intermediate calculations.)
0.033770 0.041997 0.033597 0.042213 0.027354

   

(b) Calculate the variance for Y. (Do not round intermediate calculations.)
0.086370 0.133287 0.128866 0.103093 0.106630

  

Requirement 3:
(a)

Calculate the standard deviation for X. (Do not round intermediate calculations.)

18.38% 14.89% 20.49% 22.97% 18.23%

   

(b)

Calculate the standard deviation for Y. (Do not round intermediate calculations.)

32.11% 40.82% 35.90% 32.65% 26.45%


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