Question

In: Finance

Hooper Chemical Company, a major chemical firm that uses such raw materials as carbon and petroleum...

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:
  

Outcomes
($ millions)
Probability
Recession $ 20 0.2
Normal economy 30 0.2
Strong economy 50 0.6

Compute the expected value, standard deviation, and coefficient of variation prior to the acquisition.

Solutions

Expert Solution

a b c=a*b d=a*(b-94)^2
State of economy Probability Rate of returns Expected value Variance
Recession                   0.20                    20.00                                4.00                     1,095.20
Normal economy               2.00                30.00                              60.00                     8,192.00
Strong economy               0.60                50.00                              30.00                     1,161.60
Total                              94.00                  10,448.80
Expected value =                 94.00
Standard deviation = 10448.8^0.5 =                           102.22
coefficient of variation = SD/Mean = 102.22/94                                1.09

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