HW 3 finance
.docx
keyboard_arrow_up
School
Colorado State University, Fort Collins *
*We aren’t endorsed by this school
Course
530
Subject
Finance
Date
Apr 3, 2024
Type
docx
Pages
16
Uploaded by ChiefMoonHyena41
Question 1
1.5
/ 1.5
pts
The figure shown below is similar to a figure shown in the assigned reading in the textbook. The vertical axis shows the standard deviation in the portfolio returns. The horizontal axis tracks the number of assets (n) in the portfolio. The downward sloping curve tracks the decrease in total risk in the portfolio as additional assets are added.
What are the synonyms for the "diversifiable risk" shown in the figure?
Select all terms below that are synonyms of this type of risk.
(If you would like to look at the textbook version of this figure see Figure 6.1 or 7.1 depending on the edition of the textbook that you are using. The figure appears in the section titled Diversification and Portfolio Risk.)
unique risk
firm-specific risk
nonsystematic risk
systematic risk
market risk
credit risk
default risk
Partial
Question 2
3
/ 4
pts
The x-axis shown in the figure below measures standard deviation in portfolio returns and the y-axis measures the expected return. The curve represents the investment frontier. The frontier was created using 2 underlying risky portfolios based on stocks (#11, square portfolio) and bonds
(#2, circle portfolio). The correlation between the stock and bond portfolios in this example was -0.25. Assumptions:
Expected return for portfolio #11 = 10%
Expected return for portfolio #2 = 7%
Risk free rate = 5%
Expected return on tangency portfolio = 8%, standard deviation for tangency portfolio = 7%
You have $10,000 of investment equity
Portfolio 13 is on the CAL tangent to the frontier and has an expected return of 10.3%.
Which assets would you use to create portfolio 13?
[ Select ] ["Portfolio #13 can be created using a combination of just the risk-free asset and the tangency portfolio.", "Portfolio #13 can be created using a combination of just the risk-free asset and the stock portfolio.", "Portfolio #13 can be created using a combination of just the risk-
free asset and the bond portfolio.", "Portfolio #13 can be created using a combination of just the stock and bond portfolios."]
Portfolio 8 is on the investment frontier and has an expected return of 9.1%.
How much money would you need to invest in portfolio #11 if you wanted to create portfolio #8?
Assume you can only invest in portfolios 2 and 11 and that you want to use all of your investment equity.
[ Select ] ["We would invest $7,000 in portfolio #11 and the rest in portfolio #2 to create portfolio #8.", "We would invest $3,000 in portfolio #11 and the rest in portfolio #2 to create portfolio #8", "We would invest $5,000 in portfolio #11 and the rest in portfolio #2 to create portfolio #8.", "We would invest $1,000 in portfolio #11 and the rest in portfolio #2 to create portfolio #8."]
When we talk about portfolio weights we use the word "shorting" synonymously with the idea of "borrowing" and this appears in the math as negative investment weights.
Assume we can invest in the risk-free asset, the tangency
portfolio, the bond portfolio, and/or the stock portfolio.
Which of the statements below are true?
Only portfolio 13 requires shorting in some asset to create.
True/False:
Portfolios 1 and 2 are on the "efficient frontier".
False
Answer 1:
Portfolio #13 can be created using a combination of just the risk-free asset and the tangency portfolio.
E[r
8
] = (w
2
)E[r
2
] + (w
11
)E[r
11
]
E[r
8
] = (1-w
11
)E[r
2
] + (w
11
)E[r
11
]
.091 = (1-w
11
)E[r
2
] + (w
11
)E[r
11
] <-- plug in the values for the expected returns from the assumptions and solve for w
11
and then multiply w
11
by the investment equity
Answer 2:
We would invest $7,000 in portfolio #11 and the rest in portfolio #2 to create
portfolio #8.
All portfolios on the frontier are created by combining the bond and stock portfolio. This means that portfolio #8 would be created using the stock and bond portfolio.
We are given the information that the portfolio #8 has an expected return of 9.1% so we would start with the formula for portfolio return.
E[r
8
] = w
11
*E[r
11
] + w
2
*E[r
2
] = w
11
*E[r
11
] + (1-w
11
)*E[r
2
] <- general expression for the return on a 2 asset portfolio
0.091 = w(0.10) + (1-w)(0.07) <- fill in the values we know
0.091 = 0.10w + 0.07 - 0.07w <- multiply the 0.07 by the terms in the paranthesis
0.091 = 0.03w + 0.07
subtract 0.07 from both sides of equation
0.021 = 0.03w divide both sides by 0.03
0.021/0.03 = w = .7
This means that 70% of our investment equity should be invested in the stock portfolio and 30% in the bond portfolio to create portfolio 8.
Answer 3:
Only portfolio 13 requires shorting in some asset to create.
Answer 4:
False
Only the upper portion of the curve are considered the "efficient frontier".
Question 3
1
/ 1
pts
The figure shown below is similar to a figure shown in the assigned reading in the textbook. The vertical axis shows the standard deviation in the portfolio returns. The horizontal axis tracks the number of assets (n) in the portfolio. The downward sloping curve tracks the decrease in total risk in the portfolio as additional assets are added.
What are synonyms for the "market risk" shown in the figure?
Select all terms below that are synonyms of this type of risk.
(If you would like to look at the textbook version of this figure see Figure 6.1 or 7.1 depending on the edition of the textbook that you are using. The figure appears in the section titled Diversification and Portfolio Risk.)
unique risk
firm-specific risk
nonsystematic risk
systematic risk
nondiversifiable risk
credit risk
default risk
Question 4
1
/ 1
pts
True/False: The tangency portfolio is the minimum variance portfolio.
True
False
Partial
Question 5
1
/ 2
pts
The figure shown below was discussed as part of the lecture. The vertical axis in the figure is the expected portfolio return. The horizontal axis in the figure is the standard deviation in portfolio returns. The E portfolio is a portfolio of risky stocks (equity), and the D portfolio is a portfolio of risky bonds (debt). The frontier shown with the solid blue curve requires a correlation between D and E of 0.30.
This question is about the blue "dotted" and black "solid" frontiers shown in the figure. The labels "dotted" and "solid" appear in the figure to clarify which frontiers to
look at.
Which of these statements
are false
?
Select all that are false.
(Remember in my class that the statement needs to be unconditionally true in order for it to be true. If you find yourself needing to add words to the statement to make it true then it is false as written).
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Questions
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
arrow_forward
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
arrow_forward
PLEASE ANSWER ALL THE QUESTIONS
Question 1
Fill the parts in the above table that are shaded in yellow. You will notice that there are nine line items.
Question 2
Using 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 does it show? Identify undervalued/overvalued investments from the graph
Question 3
From the information generated in the previous two questions;
a) Identify two investment alternatives that can be combined in a portfolio. Assume a 50-50 investment allocation in each investment alternative.
b) Compute the expected return of the portfolio thus formed.
c) Compute the portfolio’s beta. Is the portfolio aggressive or defensive?
arrow_forward
Consider the following performance data for a portfolio manager:
Benchmark
Portfolio
Index
Portfolio
Weight
Weight
Return
Return
Stocks
0.65
0.7
0.11
0.12
Bonds
0.3
0.25
0.07
0.08
Cash
0.05
0.05
0.03
0.025
a.Calculate the percentage return that can be attributed to the asset allocation decision.
b.Calculate the percentage return that can be attributed to the security selection decision.
arrow_forward
Question 1Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items.
Question 2 Using the data generated in the previous question (Question 1)a) Plot the Security Market Line 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
arrow_forward
An investor wants to determine the safest way to structure a portfolio from several investments, whose annual returns under
different scenarios are as follows:
Returns
Scenario
A
B.
D
Probability
1.
0.11
-0.09
0.10
0.07
0.10
-0.11
0.12
0.14
0.06
0.10
3
0.09
0.15
0.11
0.08
0.10
4
0.25
0.18
0.33
0.07
0.30
0.18
0.16
0.1
0.06
0.40
9.
Suppose the investor ignores the scenarios have different probabilities. If he has determined his risk
aversion value is 0.75, what percentage of his portfolio should be invested in A?
percent
2.
arrow_forward
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset:
Portfolio
X
Y
Z
Market
Risk-free
Rp
11.0%
ор
33.00%
10.0
28.00
8.1
10.4
5.2
18.00
23.00
Ө
вр
1.45
1.20
0.75
1.00
Ө
Assume that the correlation of returns on Portfolio Y to returns on the market is 0.66. What percentage of Portfolio Y's return is driven
by the market?
Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.
R-squared
arrow_forward
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset:
8p
1.70
1.30
0.85
1.00
Portfolio
X
Y
Z
Market
Risk-free
Rp
11.5%
10.5
7.2
10.9
4.6
R-squared
op
38.00%
33.00
23.00
28.00
0
Assume that the correlation of returns on Portfolio Y to returns on the market is 0.76. What percentage of Portfolio Y's return is driven
by the market?
Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.
arrow_forward
1. Consider the table below which lists a set of portfolios with each of their expected return E(R) and
risk measured by the standard deviation:
Portfolio
E(R) %
1
2
3
4
5
6
7
8
5
6 9
Standard Deviation %
16.4
12.5 14.3
15 14 15.1 16 17.4 20.3 22.5
16.8 19
20
Assume that the portfolio is composed of 5 different types of assets, and the risk free rate (rf) is 1.5%.
Answer the following set of questions.
(a) Plot the set of portfolios from the table above, and create the efficient frontier. Fully label the
plot, including the global minimum variance portfolio. What do the two end points of the efficient
frontier represent?
(b) Consider a portfolio that provides an expected return of 13% and risk of 16.8%. Is this portfolio
efficient? Explain.
(c) Draw the capital market line and label the optimal portfolio. How do we determine the optimal
portfolio?
(d) A fund manager is considering a few other securities to add into the construction of portfolios.
Below are the 3 securities the manager…
arrow_forward
Which of the following measures reflects the excess return earned on a portfolio per unit of its systematic risk
a.
Treynor’s measure
b.
Sharpe’s measure
c.
Jensen’s measure
d.
Total measure
arrow_forward
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset:
Portfolio
X
Y
Z
Market
Risk-free
Rp
14.0%
13.0
.8.5
12.0
7.2
Ор
39.00%
34.00
24.00
29.00
0
Bp
1.50
1.15
0.90
1.00
0
Assume that the correlation of returns on Portfolio Y to returns on the market is 0.90. What percentage of Portfolio Y's return is driven
by the market?
Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.
R-squared
arrow_forward
Which of the following measures the total risk of a portfolio?
A. Standard Deviation
B. Correlation Coefficient
C. Beta
D. Alpha
arrow_forward
The expected return of a portfolio is simply the weighted average of the expected returns for the individual assets within the portfolio.
Group of answer choices
True
False
arrow_forward
Use attachments to answer questions
This question relates to Diagrams 1 - 4 from the diagrams attached , each of which shows a set of portfolios plotted on a set of risk/return axes.
Which diagram shows (in red) the set of feasible portfolios?
Select one:
a.
Diagram 1
b.
Diagram 2
c.
Diagram 3
d.
Diagram 4
arrow_forward
Please show all the steps
arrow_forward
You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset:
Op
1.45
1.20
0.75
1.00
Portfolio:
X
Y
Z
Market
Risk-free
Rp
11.00%
10.00
8.10
10.40
5.20
Information ratio
Op
33.00%
28.00
18.00
23.00
0
Assume that the tracking error of Portfolio X is 9.10 percent. What is the information ratio for Portfolio X?
Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 4
decimal places.
02148
0
arrow_forward
Baghiben
arrow_forward
Consider following information on a risky portfolio, risk-free asset and the market index.
What is the T2 of the risky portfolio?
Risky portfolio
Risk-free asset
Market index
Average return
8.2%
2%
6%
Std. Dev.
26%
20%
Residual std. dev.
10%
Alpha
1.4%
Beta
1.2
arrow_forward
You are given the following information concerning three portfolios, the market portfolio, and the risk-
free asset:
Portfolio
X
Y
Z
Market
Risk-free
Rp
14.5%
R-squared
13.5
9.1
10.7
5.4
op
36%
31
21
26
0
6p
1.60
1.30
.80
1.00
0
Assume that the correlation of returns on Portfolio Y to returns on the market is 72. What percentage of
Portfolio Y's return is driven by the market? (Enter your answer as a decimal not a percentage. Round
your answer to 4 decimal places.)
arrow_forward
As diversification increases, the firm-specific risk of a portfolio approaches
A. 1.
B. infinity.
C. 0.
D. (n – 1) × n.
arrow_forward
What is the expected return of a portfolio of two risky assets if the expected return
E(Ri), standard deviation (SDi), covariance (COVij), and asset weight (Wi) are as
shown below?
Asset (A)
E(R₂) = 10%
SDA = 8%
WA = 0.25
COVAB = 0.006
Select one:
A.
13.75%
B.
7.72%
C.
12.5%
D.
8.79%
Asset (B)
E(RB) = 15%
SDB = 9.5%
WB = 0.75
arrow_forward
Use the following table to answer the questions a-c below.
Standard
deviation of risky | return
Risky
Expected return on
risky portfolio
Risk-free
Sharpe-ratio
Portfolio
portfolio
1
12
3.5
4.5
2
13
3.75
4.5
3
14
4
4.5
4
15
4.25
4.5
a. Calculate the Sharpe ratio for each portfolio
b. Identify the optimal portfolio from the above 4
arrow_forward
Portfolios A and B are both well-diversified. The risk-free rate is 8%. The return for the market is 10%.
Portfolio A has an expected return of 15% and beta of 1.1. Portfolio B has an expected return of 9% and beta
of 0.20. Portfolio A's variance is 9%, whilst Portfolio B's variance is 5.5%.
Calculate for Portfolio A and Portfolio B the following:
1. Sharpe's Measure,
2. Treynor's Measure,
3. Jensen's Measure.
Which is the better portfolio according to each measure?
arrow_forward
Consider following information on a risky portfolio, risk-free asset and the market index.
What is the Sharpe ratio of the market index?
Risky portfolio
Risk-free asset
Market index
Average return
8.2%
2%
6%
Std. Dev.
26%
20%
Residual std. dev.
10%
Alpha
1.4%
Beta
1.2
arrow_forward
Jason Jackson is attempting to evaluate two possible portfolios consisting of the same five assets but held in different proportions. He is particularly interested in using beta to compare the risk of the portfolios and, in this regard, has gathered the following data:
LOADING...
.
a. Calculate the betas for portfolios A and B.
b. Compare the risk of each portfolio to the market as well as to each other. Which portfolio is more risky?
Question content area bottom
Part 1
Data table
(Click on the icon here
in order to copy its contents of the data table below into a spreadsheet.)
Portfolio Weights
Asset
Asset Beta
Portfolio A
Portfolio B
1
1.35
17%
29%
2
0.69
26%
8%
3
1.24
10%
22%
4
1.06
11%
20%
5
0.87
36%
21%
Total
100%
100%
a. The beta of portfolio A is
enter your response here.
(Round to three…
arrow_forward
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?
arrow_forward
The optimal proportion of the risky asset in the complete portfolio is
given by the equation below
y*=
E(Rp− Rf)
A0²
For each of the variables on the right side of the equation, discuss the
impact of the variable's effect on y* and why the nature of the relationship
makes sense intuitively.
Assume the investor is risk averse
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Related Questions
- 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 grapharrow_forwarduse 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 9arrow_forwardPLEASE ANSWER ALL THE QUESTIONS Question 1 Fill the parts in the above table that are shaded in yellow. You will notice that there are nine line items. Question 2 Using 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 does it show? Identify undervalued/overvalued investments from the graph Question 3 From the information generated in the previous two questions; a) Identify two investment alternatives that can be combined in a portfolio. Assume a 50-50 investment allocation in each investment alternative. b) Compute the expected return of the portfolio thus formed. c) Compute the portfolio’s beta. Is the portfolio aggressive or defensive?arrow_forward
- Consider the following performance data for a portfolio manager: Benchmark Portfolio Index Portfolio Weight Weight Return Return Stocks 0.65 0.7 0.11 0.12 Bonds 0.3 0.25 0.07 0.08 Cash 0.05 0.05 0.03 0.025 a.Calculate the percentage return that can be attributed to the asset allocation decision. b.Calculate the percentage return that can be attributed to the security selection decision.arrow_forwardQuestion 1Fill the parts in the above table that are shaded in yellow. You will notice that there are nineline items. Question 2 Using the data generated in the previous question (Question 1)a) Plot the Security Market Line 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 grapharrow_forwardAn investor wants to determine the safest way to structure a portfolio from several investments, whose annual returns under different scenarios are as follows: Returns Scenario A B. D Probability 1. 0.11 -0.09 0.10 0.07 0.10 -0.11 0.12 0.14 0.06 0.10 3 0.09 0.15 0.11 0.08 0.10 4 0.25 0.18 0.33 0.07 0.30 0.18 0.16 0.1 0.06 0.40 9. Suppose the investor ignores the scenarios have different probabilities. If he has determined his risk aversion value is 0.75, what percentage of his portfolio should be invested in A? percent 2.arrow_forward
- You are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 11.0% ор 33.00% 10.0 28.00 8.1 10.4 5.2 18.00 23.00 Ө вр 1.45 1.20 0.75 1.00 Ө Assume that the correlation of returns on Portfolio Y to returns on the market is 0.66. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. R-squaredarrow_forwardYou are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: 8p 1.70 1.30 0.85 1.00 Portfolio X Y Z Market Risk-free Rp 11.5% 10.5 7.2 10.9 4.6 R-squared op 38.00% 33.00 23.00 28.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.76. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places.arrow_forward1. Consider the table below which lists a set of portfolios with each of their expected return E(R) and risk measured by the standard deviation: Portfolio E(R) % 1 2 3 4 5 6 7 8 5 6 9 Standard Deviation % 16.4 12.5 14.3 15 14 15.1 16 17.4 20.3 22.5 16.8 19 20 Assume that the portfolio is composed of 5 different types of assets, and the risk free rate (rf) is 1.5%. Answer the following set of questions. (a) Plot the set of portfolios from the table above, and create the efficient frontier. Fully label the plot, including the global minimum variance portfolio. What do the two end points of the efficient frontier represent? (b) Consider a portfolio that provides an expected return of 13% and risk of 16.8%. Is this portfolio efficient? Explain. (c) Draw the capital market line and label the optimal portfolio. How do we determine the optimal portfolio? (d) A fund manager is considering a few other securities to add into the construction of portfolios. Below are the 3 securities the manager…arrow_forward
- Which of the following measures reflects the excess return earned on a portfolio per unit of its systematic risk a. Treynor’s measure b. Sharpe’s measure c. Jensen’s measure d. Total measurearrow_forwardYou are given the following information concerning three portfolios, the market portfolio, and the risk-free asset: Portfolio X Y Z Market Risk-free Rp 14.0% 13.0 .8.5 12.0 7.2 Ор 39.00% 34.00 24.00 29.00 0 Bp 1.50 1.15 0.90 1.00 0 Assume that the correlation of returns on Portfolio Y to returns on the market is 0.90. What percentage of Portfolio Y's return is driven by the market? Note: Enter your answer as a decimal not a percentage. Round your answer to 4 decimal places. R-squaredarrow_forwardWhich of the following measures the total risk of a portfolio? A. Standard Deviation B. Correlation Coefficient C. Beta D. Alphaarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT