Question

In: Finance

Consider the following subjective probability distribution for a potential investment: State of the economy probability Estimated...

  1. Consider the following subjective probability distribution for a potential investment:

State of the economy

probability

Estimated rate of return

Strong growth

.1

25%

Moderate growth

.4

15

Weak growth

.4

10

Recession

.1

-12

  1. Calculate the expected rate of return
  2. Calculate the variance
  3. Calculate the standard deviation
  4. Calculate the coefficient of variation
  5. Interpret your answers in a-d

Solutions

Expert Solution

Expected Return = 0.10(0.25) + 0.40(0.15) + 0.40(0.10) + 0.10(-0.12)

Expected Return = 11.30%

Variance = [(0.1)(0.25 - 0.113)2 + 0.4(0.15 - 0.113)2 + (0.4)(0.10 - 0.113)2 + 0.1(-0.12 - 0.113)2]

Variance = 0.0079

Standard Deviation = (0.0079)1/2

Standard Deviation = 0.089

CV = 0.089/0.113

CV = 0.79


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