In: Finance
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.
| 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 |