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PLEASE SHOW WORK An analyst has estimated how a particular stock\'s return will

ID: 2733903 • Letter: P

Question

PLEASE SHOW WORK

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?

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

Answer: Coefficient of variation=2.472

standard deviation=Square root of 1375%

=37.08%

Coefficient of variation=Standard deviation/Expected return

=37.08%/15%

=2.472

A B C=A*B D=B-15% E F=E*A State of Economy Probability State Expected return Expected return Deviation Square of Deviation variance Recession 0.1 -60% -6% -75% 5625% 562.50% Below average 0.2 -10% -2% -25% 625% 125.00% Average 0.4 15% 6% 0% 0% 0.00% Above average 0.2 40% 8% 25% 625% 125.00% Boom 0.1 90% 9% 75% 5625% 562.50% Total 15% 1375.00%
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