Question

In: Finance

General Meters is considering two mergers. The first is with Firm A in its own volatile...

General Meters is considering two mergers. The first is with Firm A in its own volatile industry, the auto speedometer industry, while the second is a merger with Firm B in an industry that moves in the opposite direction (and will tend to level out performance due to negative correlation).

General Meters Merger
with Firm A
General Meters Merger
with Firm B
Possible Earnings
($ in millions)
Probability Possible Earnings
($ in millions)
Probability
$ 40 0.40 $ 40 0.35
60 0.50 60 0.60
80 0.10 80 0.05

a. Compute the mean, standard deviation, and coefficient of variation for both investments. (Do not round intermediate calculations. Enter your answers in millions. Round "Coefficient of variation" to 3 decimal places and "Standard deviation" to 2 decimal places.)
  

b. Assuming investors are risk-averse, which alternative can be expected to bring the higher valuation?
  

Solutions

Expert Solution

Answer 1

Expected Return 54 54
Standard Deviation 12.81 11.14
Coefficient of variation (SD/Mean * 100) 23.715 20.621

Expected Return =∑( Probability * Return ) and Standard Deviation =

Coefficient of varioation = SD/Mean * 100

Excel formula

Result

Answer 2 If investors are risk averse they should go for option B as the variation (measured by coefficient of Variation) is lower in case of alternative B


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