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Question one
(a) Within
the concept of CAPM, determine whether the following securities are fairly
priced, over or underpriced, if the risk free rate is 12%, expected return o
market portfolio is 18% and the standard deviation of return on market
portfolio is 13%.
Security
|
Expected return (%)
|
Standard deviation (%)
|
Beta
|
R
|
35
|
24
|
1.25
|
Q
|
25
|
16
|
1.72
|
A
|
26
|
25
|
1.80
|
B
|
16
|
10
|
0.60
|
C
|
10
|
3
|
0.25
|
(b) Briefly
discuss the key steps involve in the portfolio management process.
Question
two
There are
undoubtedly individual who prefer risk and others who are indifference to it,
but both logic and scientific observation suggest that mot investor and
investment manager are predominantly risk averters.
What do you
think is the most logically satisfying reason for this?
(c) Discuss
the implication of capital market efficiency for corporate financial
management.
Question
three
(a) The Abuja
corporation has currently paid a dividend of N1.50 per share; the-company
expects dividends to grow at 20 percent annual rate the first five years, at 16
percent rate the next, five years, and the increase at a 10 percent annual rate
afterwards. The phased growth pattern is keeping with the expected life cycle
of earnings, if the current market price per share of Abuja Corporation, is
N40.00 Calculate the investor’s expected rate of return using H-model.?
(b) Distinguish
carefully between investing and speculating. Is it possible to incorporate
investment and speculation within the same security? Explain.
Question
four
a)
An investor holds a portfolio which is expected
to yield a rate of return of 18% with a standard deviation of 2.5%n the
investor is considering buying a new share(investment being 5% of the total
investment in the new portfolio). The share has the following distribution of
return :
RETURN
|
PROBABILITIES
|
40
|
0.30
|
30
|
0.40
|
-10
|
0.30
|
The correction coefficient between the new portfolio
and the new security is 0.3; calculate the portfolio return and standard
deviation of the portfolio.
(b) What are the assumption underlying of Markowitz
portfolio analysis.
Question Five
M&M Corporation has 16% debenture bond outstanding
that mature in 25 years, the bond is callable in 10 years at 116 it currently
sell for 123. Calculate each of the following for this bond
(a)
Current yield
(b)
Yield to call
(c)
Yield to maturity
(d)
What yield calculation should an investor as the
most important for the decision making? Why?
Question
Six
(a)
What does it mean to assume that all investors
have homogeneous expectation? Why is this assumption necessary to capital
market theory?
(b)
What is the relationship between borrowing and
lending rates in the real world? How does this real world relationship affect
the shape of CML and identification of the optimal portfolio?
Question One
Consider the following three
securities and the relevant data on each.
|
Stock
1
|
stock
2
|
stock
3
|
Expected return
|
10
|
12
|
8
|
Standard deviation
|
10
|
15
|
5
|
CORRELATION COEFFICIENT:
Stock 1,
2 = 0.2
Stock 2,
3= 0.4
Stock 1,
3= 0.5
Required:
What are the portfolio risk and
return if the following proportions are assigned to each stock?
Stock
1= 0.2
Stock 2= 0.4
Stock 3 = 0.4
Question
Two
a) The
palatin paper package (PPP) corporation is N1000 bonds that pay a coupon rate
of 8 percent in a single annual payment and mature in 20 years are selling for
a current market price of N1050. What does an investor in these bonds earned in
terms of :
I.
Yield-to-maturity
II.
Current yield
III.
Nominal yield
(b) The Ndaduma corporation has a 12 percent
semi-annual bond issue with F=1000 that matures in 15 years but is called in 6
years at N1200. If the current price bond is N900, determine its yield-to-call
Question three
a)
Distinguish carefully between investing and
speculating. Is it possible to incorporate investment and speculation within
the same security? Explain
b)
Compare briefly the traditional and modern
approaches to security analysis: to portfolio management.
Question Four
a) The
M&M mining company has been experiencing a 6 percent year decline in its cash
dividend growth rate for the past few years: this decline is expected to
continue, M&M has a current dividend per share N3. If M&M’s required
rate of return is 14.5 percent. What is a share of the stock worth?
b) B)
If conditions remain the same, what will M&M’s price be 3 years from now?
Question Five
a) What
is the implication of random walk for technical and fundamental analysis?
b) How
do technicians and random walk advocate differ in their view of the stock
market?
Question Six
Capital market
theory and capital asset pricing model (CAMP) are based on certain specific
assumptions, and capital asset pricing model suggests rather specific things
about asset pricing.
a)
What are the basic assumptions underlying
capital market theory?
b)
What
happens to the capital market line (CML) and choice of an optimal portfolio if
borrowing rate is allowed to exceed the lending rate?
Question
one
The returns on two securities A &B for a one year
holding period are not certain. However, the probability distributions of
possible returns are given as follows:
Security A
|
|
|
Security B
|
|
|
Possible rate of
return (%)
|
Probability of
occurrence
|
Possible rates of
return (%)
|
Probability of
occurrence
|
1
|
19
|
0.30
|
16
|
0.30
|
2
|
21
|
0.20
|
23
|
0.50
|
3
|
25
|
0.50
|
13
|
0.20
|
Question two
M&M Corporation has a 16% debenture bond
outstanding that matures in 25years. The bond is callable in 10years at 116, it
currently sells for 25. Calculate each of the following for this bond.
a) Current
yield
b) Yield-to-call
c) Yield-to-maturity
Explain briefly
what you understanding by the team “Beating the market”
Question
three
Very few financiers would fit neatly into one of
the three categories on thinking on the behavior of stock prices. Identify the
categories and discuss them in detail.
Question
four
a) Distinguish
between a feasible and an efficient portfolio. Is an inefficient portfolio %
ever a feasible portfolio?
b) Point
out the differences between efficient frontier under capital market theory and
under the Markowitz approach.
Question
five
a) Why
in the perfect world, of the capital asset pricing model (CAPM), are the
investment decision and the financing decision separate?
b)
What specifically should a “true believer” in
the CAPM do with his money if he seeks to hold a portfolio with a beta of 1.25?
Question six
a) Discuss
the key steps involved in the portfolio management process.
b) Describe
briefly the following approaches to investment decision making:
I.
Fundamental approach
II.
Psychological approach
III.
Academic approach
Question one
Justice Rabe of the Abuja Institute of Advanced
Legal Studies is due to retire from service in December, 2007 at which time he
will be 65 years old. His retirement benefit under the old pension, scheme is
expected to amount to 3420, 000, 00. As part of his retirement plan, he is
considering investing in a portfolio consisting of three securities with the
following risk and return characteristics:
Security X
|
Security Y
|
Security Z
|
|||
Possible rates of Return (%)
|
Probability of Occurrence
|
Possible rates of Return (%)
|
Probability of Occurrence
|
Possible rates of Return (%)
|
Probability of Occurrence
|
32
|
0.20
|
52
|
0.30
|
42
|
0.10
|
26
|
0.30
|
33
|
0.60
|
31
|
0.40
|
22
|
0.50
|
13
|
0.10
|
14
|
0.50
|
Calculate the
expected return and standard deviation of the portfolio, if the proportion of
funds invested in security X, Y & Z are 20%, 35% and 45% respectively and
the coefficient between the securities are as follows:
Security X,
Y 0.30
Y, Z 0.40
X, Y 0.60
Question Two
c) The
Abuja Corporation has currently paid a dividend of N1.20 per share. The company
expects dividends to grow at 21 percent annual rate the first five years, at a
14 percent rate the next, five years, and then increase at a 7.5 percent annual
rate afterwards. The phased growth pattern is in keeping with the expected life
cycle of earnings. If the cuii.nl market price per share of Abuja Corporation
is N24.50, calculate the investors expected rate of return (Use H- model)
d) Distinguish
between systematic and unsystematic risk.
Question
Three
a) Suppose
that the following five portfolios are lying on the efficient frontier of an
opportunity set, determine the best (optimal) portfolio, if the investors risk
tolerance is 40%
Portfolio
|
A
|
B
|
C
|
D
|
E
|
Expected Return
|
7.60
|
9.13
|
9.43
|
9.73
|
9.85
|
Expected Variance
|
0.19
|
0.52
|
0.61
|
0.74
|
0.75
|
Standard Deviation
|
4.32
|
7.24
|
7.79
|
8.59
|
8.67
|
b)
Although there are no discernible differences
between investment, speculation and gambling from the overt action of the
individuals involved, yet significant differences exist between them on the
basis of a number of the other parameters. Discuss.
Question Four
a)
The capital market is a major segment of the
financial markets. State and explain the major functions of the capital market
in an economy.
b)
The NUAMBS Company Plc has q two
security-portfolios, consisting of sixty percent (60%) investment in security A
and forty percent (40%) investment in security B. The expected return and standard
deviation of security A are 20% and 10%, while those of security B are 25% and
18% respectively. If the covariance of security A and security B is 0.0072.
Calculate:
i.
The Expedited Return on the Portfolio
ii.
The Standard Deviation of the Portfolio
Question Five
Within the concept of CAPM, determine whether the following securities
are fairly priced, over or underpriced. If the risk free rate is 20%, expected
return on market portfolio is 18% and the standard deviation of return market
on market portfolio is 13%.
Security
|
Expected
return (%)
|
Standard deviation (%)
|
Beta
|
R
|
35
|
24
|
1.25
|
Q
|
25
|
16
|
1.72
|
A
|
26
|
25
|
1.80
|
B
|
16
|
10
|
0.60
|
C
|
10
|
3
|
0.25
|
What are the assumptions underlying the Capital Asset Pricing Model
(CAPM). Explain what the Capital Market Line (CML) represents.
Question Six
a)
The common stock M&M Corporation is
currently selling for N60.00 per share. Dividends per share have been grown
from N1.50 to N4.00 over the last (10) years and growth in dividends is
expected to continue in the future. Determine the required rate for the M&M
stock.
b)
Suppose that the M&M Corporation recently
paid a dividend of N6.00 per share and the dividend has been growing at an
annual rate of 8%. If the growth rate in dividend is expected to continue in
the foreseeable future and the required rate of return for the M&M stock is
14%. Determine the value of the stock.
c)
A bond inane with 0 ten percent (10%) coupon
rate has a face value of N1, 000, 00. If the bond is currently selling in
N800.00 in the market. Determine its current yield and the approximate yield to
maturity under a five year holding period:
Question one: Compulsory
You are planning to invest N20m. two securities A and B are available
and you can invest in either of them or in a portfolio with sum of each. Assume
rho AB = -0.5. What percentage of your portfolio should be invested in each
security to minimize your investment risk? Draw the feasible set of efficient
portfolios and identify the efficient set. You estimated that the following
probability distribution of returns are applicable to A and B.
SECURITY
A
|
SECURITY
B
|
||
Returns
|
Probability
|
Returns
|
Probability
|
-4
|
0.2
|
2
|
0.2
|
0
|
0.3
|
4
|
0.3
|
12
|
0.3
|
8
|
0.3
|
26
|
0.2
|
10
|
0.2
|
Question Two
“Securities markets tend to operate like omniscient hand”, setting the
prices and returns on each security at level suppliers and demanders of the
capital deem appropriate for the risk associated with that security. Discuss in
the light of the concept of beating the market.
Very few financiers would fit neatly into one of the three categories
on the thinking on the behavior of stock prices. Identify the category and
discuss any of them.
Question Three
a)
Evans Company is expecting earnings per share
next year to be N5 per share. If earnings has been growing at the rate of 8%
per year in the past and it is expected to continue in the future, determine
the required current rate of return for this company’s stock. Assume a dividend
payout of 60% and current market price of N65.
b)
The M&M Corporation currently has a required
rate of return of 16% and it’s currently dividend is N3.00 per share. If the
current price of M&M’s stock is N55.00 per share. What is the growth rate?
Question four
State and discuss the basic
parameters of classifying investment.
What are the distinguishing features of a good investment?
Question five
a) Mr.
Smart is trying to determine the value of Franklin’s corporation common stock.
The earnings growth rate over his planned 6-years holding period is estimated
to be 10% and the dividend payout ratio is 60%. The ending P/F ratio is
expected to be 20 and current earnings per share are N 4 if the required rate
of return for this stock is 15%, what should be the price of franklins’ stock?
b) What
are the assumption underlying portfolio analyses?
Question
six
In what way are
Nigerian securities markets inefficient? Explain the term internal and external
market efficiencies.
ADDITIONAL
MISCELLANEOUS
Question
three
a)
The M&M Corporation currently has earnings
that are N4 per share. In recent years earning has been growing at the rate of
7.5%and this rate is expected to continue in the future. If the M&M
Corporation has retention rate of 40%and a required rate of return of 14%, what
is its current value?
b)
The M&M corporation currently has earning
that are N4, a current growth rate of 7.5% that is expected to continue in the
future, a retention rate of 40% and required rate of return of 14%. If M&M
Corporation continues to do as expected in the future, what will its price be
in 4years?
Question six
a)
The M&M mining company has been experiencing
a 6 percent year decline in its cash dividend growth rate for the past few
years; this decline is expected to continue, M&M has a current dividend per
share ofN3. If M$M’s required rate of return is 14.5 percent. What is a share
of the stock worth?
b)
If conditions remain the same, what will M$M’s
price be in 3 years from now?
Question six
The T.Bill rate is 6% and the market portfolio is
expected to return 12%with a standard deviation of return of 15%. A portfolio
which is sufficiently diversified has a standard deviation of return of 10%.
a)
What is the beta of portfolio b) what is the SML equation
b)
What is the E(R) of the portfolio d) distinguish SML and CML.
(d) An investor holds a portfolio which is expected to yield a rate of return of 18% with a standard deviation of 2.5%.The investor is considering buying a new share(investment being 5% of the total investment in the new portfolio). The share has the following distribution of return:
ReplyDeleteRETURN PROBABILITIES
40% 0.30
30% 0.40
-10% 0.30
The correction coefficient between the new portfolio and the new security is 0.3; calculate the portfolio return and standard deviation of the portfolio.[10 marks]
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