Stocks A and B have the following probability distributions of expected future returns: Probability B A 0.1 (6%) (38%) 0.1 4 0 0.6 14 24 0.1 24 27 0.1 37 43 a. Calculate the expected rate of return, ^B, for Stock B (A = 14.30%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, OA, for Stock A (σB = 20.93%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A. and hence be less risky in a portfolio sense.

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
Section: Chapter Questions
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Stocks A and B have the following probability distributions of expected future returns:
Probability
B
A
0.1
(6%)
(38%)
0.1
4
0
0.6
14
24
0.1
24
27
0.1
37
43
a. Calculate the expected rate of return, ^B, for Stock B (A = 14.30%.) Do not round intermediate
calculations. Round your answer to two decimal places.
%
b. Calculate the standard deviation of expected returns, OA, for Stock A (σB = 20.93%.) Do not round
intermediate calculations. Round your answer to two decimal places.
%
Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round
your answer to two decimal places.
Is it possible that most investors might regard Stock B as being less risky than Stock A?
I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than
Stock A. and hence be less risky in a portfolio sense.
Transcribed Image Text:Stocks A and B have the following probability distributions of expected future returns: Probability B A 0.1 (6%) (38%) 0.1 4 0 0.6 14 24 0.1 24 27 0.1 37 43 a. Calculate the expected rate of return, ^B, for Stock B (A = 14.30%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, OA, for Stock A (σB = 20.93%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A. and hence be less risky in a portfolio sense.
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