Question

A stock has an expected return of 10.44 percent. Based on the following information, what is...

A stock has an expected return of 10.44 percent. Based on the following information, what is the stock's return in a boom state of the economy?

State of Economy Probability of State
of Economy
Rate of Return if
State Occurs
Recession .31 9.9 %
Normal .38 11.4 %
Boom .31 ?

30.95%

32.29%

29.60%

25.90%

27.75%

Homework Answers

Answer #1

29.60%

An stock's return is the sum of return with each probability.
Stock return = Sum of (probability*rate of return)
10.44% = (0.31*-9.9%)+(0.38*11.4%)+(0.31*rate of return in boom state of economy)
10.44% = -3.07%+4.33+(0.31*rate of return in boom state of economy)
10.44% = 1.26%+(0.31*rate of return in boom state of economy)
10.44%-1.26% = 0.31*rate of return in boom state of economy
9.18% = 0.31*rate of return in boom state of economy
rate of return in boom state of economy = 0.296129
Thus,
Rate of return with Boom state of economy is 29.61%
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