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

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Finance

Using the following returns, calculate the arithmetic averagereturns, the variances, and the standard deviations for X andY.

  

Returns
YearXY
112 %    20 %    
230        41        
319        -7        
4-20        -21        
521        49        

   

Requirement 1:
(a)Calculate the arithmetic average return for X.
(Click to select)10.04%15.13%15.50%12.40%14.01%

   

(b)Calculate the arithmetic average return for Y.
(Click to select)13.28%16.40%20.50%20.01%18.53%

  

Requirement 2:
(a)Calculate the variance for X. (Do not roundintermediate calculations.)
(Click to select)0.0369300.0368120.0299130.0461630.046014

   

(b)Calculate the variance for Y. (Do not roundintermediate calculations.)
(Click to select)0.0852570.1065710.0906800.0734510.113350

  

Requirement 3:
(a)

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

(Click to select)19.09%24.02%15.57%21.45%19.22%

   

(b)

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

(Click to select)30.11%24.39%37.64%29.20%32.65%

Answer & Explanation Solved by verified expert
4.4 Ratings (593 Votes)
Requirement 1 a Arithmetic average return for X X1 X2 X3 X4 X55 12 30 19 20 215 62 5 1240 Hence option 1240 is correct answer b Arithmetic average return for Y Y1 Y2 Y3 Y4 Y55 20 41 7 21 495 82 5 1640    See Answer
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Transcribed Image Text

Using the following returns, calculate the arithmetic averagereturns, the variances, and the standard deviations for X andY.  ReturnsYearXY112 %    20 %    230        41        319        -7        4-20        -21        521        49           Requirement 1:(a)Calculate the arithmetic average return for X.(Click to select)10.04%15.13%15.50%12.40%14.01%   (b)Calculate the arithmetic average return for Y.(Click to select)13.28%16.40%20.50%20.01%18.53%  Requirement 2:(a)Calculate the variance for X. (Do not roundintermediate calculations.)(Click to select)0.0369300.0368120.0299130.0461630.046014   (b)Calculate the variance for Y. (Do not roundintermediate calculations.)(Click to select)0.0852570.1065710.0906800.0734510.113350  Requirement 3:(a)Calculate the standard deviation for X. (Do not roundintermediate calculations.)(Click to select)19.09%24.02%15.57%21.45%19.22%   (b)Calculate the standard deviation for Y. (Do not roundintermediate calculations.)(Click to select)30.11%24.39%37.64%29.20%32.65%

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