Topic F Exercises
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Exercises
Topic F CAPM, Single-Index Model and Multi-Factor Models
Exercises #1 (Slide 9)
CML
(a special case of CAL, see Topic E Slides 21,22,31)
SML (slide 7 of Topic F)
Relevant Risk
Measures total risk - Standard dev.
Measures systematic risk - beta
Horizontal Axis
Standard dev. - Complete portfolio
Beta – individual securities Vertical Axis
Expected return – complete portfolio
Expected return – individual securities Intercept
Rf (risk free rate)
Rf (risk free rate)
Slope
Sharpe ratio – market portfolio Expected market of risk premium Exercise #2 (Slide 11)
You invest $800 in security A with a Beta of 1.4 and $500 in security B with a beta of
0.7. What is the weighted average Beta of the portfolio?
A weight: $800 / ($800 + $500) = $800 / $1,300 = 0.6153 = 61.50%
B weight:
$500 / $1,300 = 0.3846 = 38.46%
Weighted average Beta of the Portfolio:
A weight * A beta + B weight * B beta 0.6153 * 1.4 + 0.3846 * 0.7 0.862 + 0.269 = 1.31
1
Exercise #3 (Slide 17)
Within the context of the CAPM, assume:
Expected Return on the market=12%
Risk-free rate=2%
Expected Return on the ABC stock=16%
Beta on the ABC stock=1.5
(a) What is the ABC stock’s fair expected rate of return according to CAPM?
2% + 1.5 (12% - 2%)
2% + 1.5 * 10% 2% + 15% = 17%
(b) Is the stock underpriced, overpriced or fairly priced? How much is the alpha?
The stock is overpriced because the ABC stock expected return is 16% which is more than 17%.
Alpha: 16% - 17% = -1%
Exercise #4 (Slide 28)
Suppose that the index model for stocks A and B is estimated from R
A
=
3%
+
.7
R
M
+
e
A
R
B
=−
2%
+
1.2
R
M
+
e
B
σ
M
=
20%;
RSquared
A
=
.20
; RSquared
B
=
.12
excess returns with the following results:
2
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Related Questions
Attached image
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Exercises:
a. The standard deviation of returns is 0.30 for Stock A and 0.20 for Stock B. The covariance between
the returns of A and B is 0.006. The correlation of returns between A and B is:
b. Explain the differences between systemic risk and unsystematic risk, give additional examples
c. Compare and contrast the Capital Market Line and Security Market Line
d.
The covariance of the market's returns with the stock's returns is 0.008. The standard deviation of
the market's returns is 0.08, and the standard deviation of the stock's returns is 0. 11. What is the
correlation coefficient of the returns of the stock and the returns of the market?
e. According to the CAPM, what is the required rate of return for a stock with a beta of 0.7, when the
risk-free rate is 7% and the expected market rate of return is 14%
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Portfolio risk is comprised of
risk
risk.
Select one:
O a. firm-specific; plus diversifiable
b. systematic; minus unsystematic
O c. diversifiable; plus unsystematic
O d. market; plus non-diversifiable
O e. market; plus firm-specific
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Question 1 Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items.
Question 2Using the data generated in the previous question (Question 1);a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above and below the SML? d) If an investment’s expected return (mean return) does not plot on the SML, what doesit show? Identify undervalued/overvalued investments from the graph
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use attachments to answer question
This question relates to Diagrams 6 - 9 from the 9.2 diagrams, each of which shows a set of portfolios plotted on a set of risk/return axes.
Which diagram shows (in red) the set of efficient portfolios in the presence of a risk-free asset?
Select one:
a.
Diagram 6
b.
Diagram 7
c.
Diagram 8
d.
Diagram 9
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A. Briefly explain three risk exposures that an analyst should report as part of anenterprise risk management system.Page 4 of 10B. Define market risk and the economic parameters considered when calculatingmarket risk.C. Explain the concept of ‘beta’ within the framework of the Capital Asset PricingModel (CAPM). Discuss the relevance of the covariance between assets returnsfor an investor wishing to diversify the risk of a portfolio
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Question No. 1:
Explain the following Financial Terminology and then determined the relationship between its.
portfolio efficient
Beta Coefficient
frontier efficient
Diversification
Diversifiable Risk
Systematic Risk
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risk premium (RP)
expected return on a portfolio,r^P
realized rate of return, r¨
diversification
correlation coefficient, ρρ
firm-specific (diversifiable) risk
market (nondiversifiable) risk
relevant risk
beta coefficient, ββ
capital asset pricing model (CAPM)
security market line (SML)
market risk premium (RPM)
equilibrium
Define all terms
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A. Briefly explain three risk exposures that an analyst should report as part of anenterprise risk management systemB. Define market risk and the economic parameters considered when calculatingmarket risk.C. Explain the concept of ‘beta’ within the framework of the Capital Asset PricingModel (CAPM). Discuss the relevance of the covariance between assets returnsfor an investor wishing to diversify the risk of a portfolio
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urgent plzzzzzzz
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Question 1 Compare and contrast the Markowitz Portfolio Theory (MPT) with the Capital Asset Pricing Model (CAPM) with reference to the following aspects:Risk measurement;Risk-return graphical presentation Capital Market Line (CML) versus Security Market Line(SML);Usage in portfolio management.
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Compare and contrast the MPT with the CAPM with reference to the following aspects:
Risk measurement;
Risk-return graphical presentation – Capital Market Line (CML) versus Security Market Line (SML);
Usage in portfolio management.
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2.
summarize the
key features of the markets with the guide questions below.
Features
Equity Market
Fixed-Income Market
Types of Securities
Traded
Accessibility of the
Market
Levels of Risk
Expected Returns
Goals of Investors
Strategies Used by
Market Participants
Example markets
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Standard deviation of portfolio returns is a measure of ___________.
Group of answer choices
total risk
systematic risk
market risk
firm-specific risk
unsystematic risk
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help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all working
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vuunyiuunu assumption of
"y.
Q2.
How portfolio return and risk is calculated? Explain the role of correlation among
asset in portfolio? Why this correlation is important?
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Practice question on equity portfolio construction using the Treynor-Black method.Do not use chatgpt so answer properly
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Answer
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The risk associated with the overall market is referred to as _____ risk.
a. unsystematic
b. diversified
c. portfolio
d. systematic
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With regard to interest rate sensitivity measures and bonds:
Group of answer choices
C. Convexity attempts to capture the sensitivity of a bond’s duration to changes in interest rates.
D. Both B & C
B. Duration is related to yield approximation and convexity is related to price.
A. Convexity is related to yield approximation and duration is related to price
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Which asset in the following table has the most market risk (also known as systematic or non- diversifiable risk)? Asset Return Beta Standard Deviation Asset A 11% 0.95 35% Asset B 13% 1.00 35% Asset C 9% 1.20 30% 1.) Asset C 2.) All three Assets 3.) Asset B 4.) Asset A and Asset B 5.) Asset A
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ma.4
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The Capital Market Line (CML) expresses the risk-return trade-off for a portfolio as follows:
E(Rport )=RFR+Oport [(E(Rm)-RFR)/om ]
Required:
Extend this expression to allow for the evaluation of any individual risky Asset i. Explain the steps in details.
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1. Risk free rate represents:
a. The market rate of return
b. The rate provided by long term government securities
c. Beta
d. The rate provided by short term government securities
2. The market risk premium is measured by:
a. T-bill rate.
b. market return less risk-free rate.
c. beta.
d. standard deviation.
3. A stock with a beta of one would be expected to have a rate of return equal to
a. the market risk premium
b. the risk-free rate
c. the market rate of return
d. zero
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Considering the attached set of securities and portfolio returns:
Find the combination of the weights that minimizes CV of the portfolio.
How does the CV of the optimal portfolio compare with the CVs of its constituents?
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The measure of risk for a security held in a diversified portfolio is:a. Specific risk.b. Standard deviation of returns.c. Reinvestment risk.d. Covariance.
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Related Questions
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