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An analyst has estimated how a particular stock\'s return will vary depending on

ID: 2621217 • Letter: A

Question

An analyst has estimated how a particular stock's return will vary depending on what will happen to the economy:

State of

Probability of

Stock's Expected Return

the Economy

State Occurring

if this State Occurs

Recession

0.10

-60%

Below Average

0.20

-10

Average

0.40

15

Above Average

0.20

40

Boom

0.10

90

What is the coefficient of variation on the company's stock? (Use the population standard deviation to calculate the coefficient of variation.)

a.

2.121

b.

2.201

c.

2.472

d.

3.334

e.

3.727

State of

Probability of

Stock's Expected Return

the Economy

State Occurring

if this State Occurs

Recession

0.10

-60%

Below Average

0.20

-10

Average

0.40

15

Above Average

0.20

40

Boom

0.10

90

Explanation / Answer

Coefficient Of Variation = Standard Deviation/ Mean

= 37.08/15

= 2.472

Hence, the correct answer is c. 2.472

Notes:

1. Mean :

2. Standard Deviation :

Probability Stock A Expected Return ( Probability * Expected Return) Recession 0.10 (0.60) -0.0600 Below Average 0.20 (0.10) -0.0200 Average 0.40 0.15 0.0600 Above Average 0.20 0.40 0.0800 Boom 0.10 0.90 0.0900 Expected Return   0.1500 Expected Return   % 15.00
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