Standard deviation versus coefficient of variation as measures of risk. Bluecage, Inc., a successful pre-school, is considering several expansion projects. All of the alternatives promise to produce an acceptable return. The owners are extremely risk-averse; therefore, they will choose the least risky of the alternatives. Data on four possible projects follow. Project Expected return Range Standard deviation A 12.0% .040 .029 B 12.5 .050 .032 13.0 .060 .035 D 12.8 .045 .030 a. Which project is least risky, judging based on range? b. Which project has the lowest standard deviation? Explain why standard deviation is not an appropriate measure of risk for purposes of this comparison. c. Calculate the coefficient of variation for each project. Which project will Bluecage's owners choose? Explain why this may be the best measure of risk for comparing this set of opportunities.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Activity 1
Standard deviation versus coefficient of variation as measures of risk.
Bluecage, Inc., a successful pre-school, is considering several expansion projects. All of the
alternatives promise to produce an acceptable return. The owners are extremely risk-averse;
therefore, they will choose the least risky of the alternatives. Data on four possible projects follow.
Project Expected return Range Standard deviation
12.0%
.040
.029
12.5
.050
.032
13.0
.060
.035
12.8
.045
.030
a. Which project is least risky, judging based on range?
b. Which project has the lowest standard deviation? Explain why standard deviation is not an
appropriate measure of risk for purposes of this comparison.
c. Calculate the coefficient of variation for each project. Which project will Bluecage's owners
choose? Explain why this may be the best measure of risk for comparing this set of opportunities.
ABCD
Transcribed Image Text:Activity 1 Standard deviation versus coefficient of variation as measures of risk. Bluecage, Inc., a successful pre-school, is considering several expansion projects. All of the alternatives promise to produce an acceptable return. The owners are extremely risk-averse; therefore, they will choose the least risky of the alternatives. Data on four possible projects follow. Project Expected return Range Standard deviation 12.0% .040 .029 12.5 .050 .032 13.0 .060 .035 12.8 .045 .030 a. Which project is least risky, judging based on range? b. Which project has the lowest standard deviation? Explain why standard deviation is not an appropriate measure of risk for purposes of this comparison. c. Calculate the coefficient of variation for each project. Which project will Bluecage's owners choose? Explain why this may be the best measure of risk for comparing this set of opportunities. ABCD
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