SEMESTER I EXAMINATION – 2016 Academic Year – 2015/16 BBS46-Bachelor of Business Studies (Singapore) (Part-Time) Investment and portfolio management (FIN 3001S) Professor Joel Metais Professor Don...

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Answer To: SEMESTER I EXAMINATION – 2016 Academic Year – 2015/16 BBS46-Bachelor of Business Studies (Singapore)...

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Page 1 of 13
______________________________________
SEMESTER I EXAMINATION – 2015/16
2016
______________________________________
BACHELOR OF SCIENCE (Singapore) Intake 22

FIN 3001S

INVESTMENT AND PORTFOLIO MANAGEMENT

Professor Joël Metais
Professor Don Bredin
Ms. June Neo
Time Allowed: 3 Hours
Instructions to candidates:
Answer any FOUR questions
All questions carry equal marks
Students are allowed to use non-pro
grammable calculators
Page 2 of 13
Question 1

Suppose the rate of return on short-term government securities is about 5%, the
expected rate of return required by the market for a portfolio with a beta of 1 is 12%.
According to CAPM:

a. What is the expected rate of return on the market portfolio? Explain your
Answer.
Risk premium = Market return - Return on short-term government securities
=12%-5%
=7%
Return on short-term government securities is the risk free rate and market
return is the return generated from market investment. Risk premium is the
return that the investor can earn by investing in a risky asset when compared
to the risk-free asset.
[5 marks]

b. What would be the expected rate of return on a stock with β = 0? Explain your
Answer.
If the beta of the security is zero the expected rate of return will be 5% that is
the Return on short-term government securities that is the risk-free rate of
investment.
Expected return = Risk-free rate + Beta * Risk premium
When the beta becomes 0 it will result in expected rate of return to be equal
to risk free rate. Beta 0 indicates that the investment carries no risk.
[5 marks]

c. Suppose you consider buying a share of stock at $40. The stock is expected
to pay $3 dividends next year and you expect it to sell then for $41. The stock
risk has been evaluated at β = -0.5. Is the stock overpriced or underpriced?
Explain your answer.
Answer:
D1 = $3
Expected rate of return = (D1/Current price
=($3/$40)
=7.5%

Using the CAPM:
Expected rate of return = Risk-free rate + Beta * Risk-premium
=5%+(-0.5*7%)
=1.5%

The expected return on the investment is greater than the return as per
CAPM model. It indicates that the stock is underpriced and thus, the stock
can be purchased.

[15 marks]

[Total: 25 marks]






Page 3 of 13
Question 2

a. Briefly explain whether investors should expect a higher return from holding
portfolio A versus portfolio B under capital asset pricing theory (CAPM).
Assume that both portfolios are well diversified.
Portfolio A Portfolio B
Systematic risk (beta) 1.0 1.0
Specific risk for each individual security High Low
[10 marks]
Answer:
Both these stocks have equal beta that is they both have a same systematic
risk. But the risk associated with the individual security is higher for Portfolio A
when compared to Portfolio B. As per the CAPM rule; the investors will be
compensated for those risks that cannot be diversified that are a systematic
risk (beta). In this case, the beta of both the portfolio is one thus, the investor
of both the portfolios can expect only similar returns. As both the portfolios
are well-diversified risk related to individual security will not have significant
influence over the return. The firm-specific risks are diversified in the case of
both these securities. Thus both will earn same return.

b. Given the following information:

Forecasted
Return
Standard
Deviation
Beta
Stock X 14.0% 36% 0.8
Stock Y 17.0 25 1.5
Market index 14.0 15 1.0
Risk-free rate 5.0

i. Calculate expected return and alpha for each stock.
[5 marks]
Answer:
Stock X expected return = Risk free rate + Beta * (Market return – Risk-free
rate)
=5%+ (0.80*(14%-4%))
=13%
Stock X Alpha = Forecasted return – Expected return
=14.0% - 13.0%
=1.0%

Stock Y expected return = Risk free rate + Beta * (Market return – Risk-free
rate)
=5%+ (1.50*(14%-4%))
=20%
Stock Y Alpha = Forecasted return – Expected return
=17.0% - 20.0%
=-3.0%





Page 4 of 13
ii. Identify and justify which stock would be more appropriate for an
investor who wants to
1. add this stock to a well-diversified equity portfolio.
Answer:
In this case, the stock X should be added to the portfolio
because the alpha of the stock is positive indicating that the
stock is undervalued. It is always wise to add a stock that is
undervalued in the portfolio when compared to the stock with
negative alpha. Stock X has a lower beta than Stock Y
indicating it is a suited for the well-diversified portfolio as the
market risk that is beta is considered for determining the
diversified portfolio.

2. hold this stock as a single-stock portfolio....
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