a) Consider these three stock returns with the following annualised characteristics: Stock A Stock B Stock C Expected Return Standard deviation 16% 10% 3% Stock A Stock B Stock C 26% 22% 11% According to the Capital Asset Pricing Model (CAPM), which stock is a better buy, when the market's expected return is 8%, and risk-free rate is 4%? What is the alpha of each stock? Plot the Security Market Line (SML) and each stock's risk-return point on one graph. Stock A 1 0.4 0.2 b) Now suppose that the same stock returns have the following correlation matrix: Beta Stock B 1.5 1.1 0.3 1 0.3 Stock C 1 Weights 55% 35% 10% If we form a three-stock portfolio by investing 55%, 35% and 10% in Stock A, B and C, respectively, what is the expected return and variance of this portfolio?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 20P
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a) Consider these three stock returns with the following annualised
characteristics:
Stock A
Stock B
Stock C
Expected Return
16%
10%
3%
Stock A
Stock B
Stock C
Standard
deviation
26%
22%
11%
Stock A
1
0.4
0.2
According to the Capital Asset Pricing Model (CAPM), which stock is a better
buy, when the market's expected return is 8%, and risk-free rate is 4%? What
is the alpha of each stock? Plot the Security Market Line (SML) and each
stock's risk-return point on one graph.
b) Now suppose that the same stock returns have the following correlation
matrix:
Beta
Stock B
1.5
1.1
0.3
1
0.3
Stock C
1
Weights
55%
35%
10%
If we form a three-stock portfolio by investing 55%, 35% and 10% in Stock A, B
and C, respectively, what is the expected return and variance of this portfolio?
Transcribed Image Text:a) Consider these three stock returns with the following annualised characteristics: Stock A Stock B Stock C Expected Return 16% 10% 3% Stock A Stock B Stock C Standard deviation 26% 22% 11% Stock A 1 0.4 0.2 According to the Capital Asset Pricing Model (CAPM), which stock is a better buy, when the market's expected return is 8%, and risk-free rate is 4%? What is the alpha of each stock? Plot the Security Market Line (SML) and each stock's risk-return point on one graph. b) Now suppose that the same stock returns have the following correlation matrix: Beta Stock B 1.5 1.1 0.3 1 0.3 Stock C 1 Weights 55% 35% 10% If we form a three-stock portfolio by investing 55%, 35% and 10% in Stock A, B and C, respectively, what is the expected return and variance of this portfolio?
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