CFIN -STUDENT EDITION-ACCESS >CUSTOM<
6th Edition
ISBN: 9780357752951
Author: BESLEY
Publisher: CENGAGE C
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Chapter 8, Problem 5PROB
Summary Introduction
Expected
Standard deviation is the financial measure of risk and stability on the
Coefficient of variance is a measure used to calculate the total risk per unit of return of an investment.
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Supposing the return from an investment has the following probability distribution
Return Probability
R (%)
8 0.2
10 0.2
12 0.5
14 0.1
Required:
What is the expected return of the investment?
What is the risk as measured by the standard deviation of expected returns?
Which of the following investments has the greater relative risk? (LO 8-2)
Investment
Expected Return
Standard Deviation
F
16.0%
7.0%
G
27.0
13.0
Normal probability distribution
Assuming that the rates of return associated with a given asset investment are normally distributed; that the expected return,
r,
is
10.4%;
and that the coefficient of variation,
CV,
is
1.01,
answer the following questions:
a. Find the standard deviation of returns,
σr.
b. Calculate the range of expected return outcomes associated with the following probabilities of occurrence: (1) 68%, (2) 95%, (3) 99%.
Chapter 8 Solutions
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