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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
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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