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Hooper Chemical Company, a major chemical firm that uses such raw materials as carbon and petroleum as part of its production process, is examining a plastics firm to add to its operations

Finance Apr 19, 2021

Hooper Chemical Company, a major chemical firm that uses such raw materials as carbon and petroleum as part of its production process, is examining a plastics firm to add to its operations. Before the acquisition, the normal expected outcomes for the firm were as follows:

Recession (outcome) $35 million 0.4 probability

Normal economy (outcome) $55 million 0.2 probability

Strong economy (outcome) $75 million 0.4 probability

 

 

Compute the expected value, standard deviation, and coefficient of variation prior to the acquisition. (Do not round intermediate calculations. Enter your dollar answers in millions rounded to 2 decimal places (e.g., $12,300,000 should be entered as "12.30"). Round the coefficient of variation to 3 decimal places.)

 

Expected value: -------------- million

Standard deviation ------------ million

Coefficient of variation:

Expert Solution

Computation of Expected Value:

Expected Value = Respective Outcome*Respective Probability

=(0.4*35)+(0.2*55)+(0.4*75)

= $55 million

 

Computation of Standard Deviation:

Probability Outcome Probability*(Outcome-Expected value)^2
0.4 35 160
0.2 55 0
0.4 75 160
  Total 320

 

Standard Deviation = [Total Probability*(Outcome-Expected value)^2/Total probability]^(1/2)

=(320)^(1/2)

= $17.89 million

 

Computation of Coefficient of Variation:

Coefficient of Variation = Standard Deviation/Expected Return

=17.89/55

=0.325

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