A stock\'s returns have the following distribution: Calculate the stock\'s expec

Question

A stock's returns have the following distribution:

Calculate the stock's expected return. Round your answer to two decimal places.
%

Calculate the stock's standard deviation. Do not round intermediate calculations. Round your answer to two decimal places.
%

Calculate the stock's coefficient of variation. Round your answer to two decimal places.

Demand for the
Company's Products Probability of This
Demand Occurring Rate of Return If
This Demand Occurs Weak 0.2 (46%) Below average 0.2 (15)    Average 0.4 14   Above average 0.1 35   Strong 0.1 55   1.0

Explanation / Answer

Expected return=Respective returns*Respective probabiltiies

=(0.2*-46)+(0.2*-15)+(0.4*14)+(0.1*35)+(0.1*55)=2.4%

SD=[Total Probability(return-mean)^2/TOTAL PROBABILITY]^(1/2)

=31.08%(Approx)

CV=SD/Mean

(31.08/2.4)=12.95(Approx)

Probabilties Return Probabilities*(Return-mean)^2 0.2 -46 0.2*(-46-2.4)^2=468.512 0.2 -15 0.2*(-15-2.4)^2=60.552 0.4 14 0.4*(14-2.4)^2=53.824 0.1 35 0.1*(35-2.4)^2=106.276 0.1 55 0.1*(55-2.4)^2=276.676 Total=965.84%

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