BU5201_Tut 5_Questions
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Nanyang Technological University *
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5201
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Finance
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Nov 24, 2024
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Uploaded by AmbassadorWren4491
September 2023
Strictly for course BU8201 internal circulation only.
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Nanyang Business School
BU8201 Business Finance
Tutorial 5: Risk and Rates of Return
(Common Questions)
1)
CAPM and required return.
Bradford Manufacturing Company has a beta of 1.2, while
Farley Industries has a beta of 0.7. The required return on an index fund that holds the entire
stock market is 11.0%. The risk-free rate of interest is 4%. By how much does Bradford’s
required return exceed Farley’s required return?
2)
Security Market Line
.
Based on the following security market line (SML), answer the
following questions.
a)
What is the equation for the Security Market Line (SML)?
b) Is Company A correctly valued? If not, what should be the expected return of Company A
when it is in equilibrium?
c) Suppose you invest 40% of your money in the market portfolio and 60% of your money in
Company A, what is the beta of the resulting portfolio? What is the expected return on your
portfolio?
3)
Evaluating risk and return
. Stock X has an expected return of 9.5 percent, a beta
coefficient of 0.9, and a 30 percent standard deviation of expected returns.
Stock Y has a 13
percent expected return, a beta coefficient of 1.3, and a 20 percent standard deviation.
The
risk-free rate is 5 percent, and the market risk premium is 5.5 percent.
a) Calculate the coefficient of variation of each stock.
b) Which stock is riskier for diversified investors? Which stock is riskier for undiversified
investors?
c) Use the CAPM model to calculate each stock’s required rate of return.
d) On the basis of the two stocks’ expected and required returns, which stock would be more
attractive to a diversified investor?
e) Calculate the required return of a portfolio that has $7,000 invested in Stock X and $3,000
invested in Stock Y.
f) If the market risk premium increased to 6.5 percent, which of the two stocks would have the
larger increase in its required return? Why would the market risk premium increase?
Expected return of Company A
September 2023
Strictly for course BU8201 internal circulation only.
Page 2 of 2
4) You are managing a portfolio of 5 stocks, stocks M, N, O, P, and Q, which are held in
equal amounts. The current beta of the portfolio is 1.8, and the beta of stock M is 2.2. If stock
M is sold, what would the beta of the replacement stock have to be to produce a new portfolio
beta of 1.6?
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