Question

In: Finance

Friedman Manufacturing, Inc. has prepared the following information regarding two investments under consideration. Which investment is...

  1. Friedman Manufacturing, Inc. has prepared the following information regarding two investments under consideration. Which investment is better, based on risk (as measured by the standard deviation) and return?

Common Stock A

Common Stock B

Probability

Return

Probability

Return

.20

12%

.10

4%

.50

18%

.30

6%

.30

27%

.40

10%

.20

15%

Solutions

Expert Solution

Answer
Stock A Stock B
A B C=A*B D=C-Average (D)^2 A B C=A*B D=C-Average (D)^2
Prob Return X =Prob * Return X-Mean(Ave) Whole square of X-Mean Prob Return X =Prob * Return X-Mean(Ave) Whole square of X-Mean
0.2 12% 0.024 -0.041 0.001681 0.1 4% 0.004 -0.019 0.000361
0.5 18% 0.09 0.025 0.000625 0.3 6% 0.018 -0.005 0.000025
0.3 27% 0.081 0.016 0.000256 0.4 10% 0.04 0.017 0.000289
0.2 15% 0.03 0.007 0.000049
Total 0.002562 0.000724
Average of Stock A 0.065 Average of Stock A 0.023
6.50% 2.30%
0.001281
N= Number of probabilities 3 N= Number of probabilities 4 0.000241333
N-1 2 N-1 3
Where:
SD= Square Root of sum( X-Mean)^2 X = Return observed in one period
n-1 Mean = Average return of the stock
n = number of years
SD (A)= Square Root of 0.002562 SD (B)= Square Root of 0.000724
2 3
SD (A)= Square Root of 0.001281 SD (B)= Square Root of 0.0002413
SD (A)= 0.0358 3.58% SD (B)= 0.0155349 1.58%
Analysis
Stock A Stock B
Mean( Average) 6.50% 2.30%
SD 3.58% 1.58%
Variation 2.92% 0.72%
The variation between Mean(Average) Vs SD of Stock B is less
Hence investment in Stock B is Better

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