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Quantitative Problem: You are given the following probability distribution for CHC Enterprises: State of Economy Probability

What is the stock's standard deviation? Round your answer to two decimal places. Do not round intermediate calculations.

%

What is the stock's coefficient of variation? Round your answer to two decimal places. Do not round intermediate calculations.

%

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Answer #1

Expected return=Respective return*Respective probability

=(0.2*20)+(0.5*8)+(0.3*-4)=6.8%

Probability Return Probability*(Return-Expected Return)^2
0.2 20 0.2*(20-6.8)^2=34.848
0.5 8 0.5*(8-6.8)^2=0.72
0.3 -4 0.3*(-4-6.8)^2=34.992
Total=70.56%

Standard deviation=[Total Probability*(Return-Expected Return)^2/Total probability]^(1/2)

=(70.56)^(1/2)

=8.4%

Coefficient of variation=Standard deviation/Expected return

=8.4/6.8

=1.24(Approx).

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