5. Assume that the economy can experience high growth, normal growth, or recession. Under these conditions, you expect the following stock market returns for the coming year: State of the Economy Probability Return High Growth +30% Normal Growth +12% Recession -15% 0.2 0.7 0.1 a. Compute the expected value of a $1,000 investment over the coming year. If you invest $1,000 today, how much money do you expect to have next year? What is the percentage expected rate of return? b. Compute the standard deviation of the percentage return over the coming year. c. If the risk-free return is 7 percent, what is the risk premium for a stock market investment?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter8: Basic Stock Valuation
Section: Chapter Questions
Problem 16MC
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5. Assume that the economy can experience high growth,
normal growth, or recession. Under these conditions, you
expect the following stock market returns for the coming year:
State of the Economy Probability Return
High Growth
+30%
Normal Growth
+12%
Recession
-15%
0.2
0.7
0.1
a. Compute the expected value of a $1,000 investment over
the coming year. If you invest $1,000 today, how much
money do you expect to have next year? What is the
percentage expected rate of return?
b. Compute the standard deviation of the percentage return
over the coming year.
c. If the risk-free return is 7 percent, what is the risk
premium for a stock market investment?
Transcribed Image Text:5. Assume that the economy can experience high growth, normal growth, or recession. Under these conditions, you expect the following stock market returns for the coming year: State of the Economy Probability Return High Growth +30% Normal Growth +12% Recession -15% 0.2 0.7 0.1 a. Compute the expected value of a $1,000 investment over the coming year. If you invest $1,000 today, how much money do you expect to have next year? What is the percentage expected rate of return? b. Compute the standard deviation of the percentage return over the coming year. c. If the risk-free return is 7 percent, what is the risk premium for a stock market investment?
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