Chapter 12 - McGrawHill Exercises
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Chapter 12 - Risk, Return and Capital Budgeting Basic 1. Risk and Return. True or false? Explain or qualify as necessary. a. Investors demand higher expected rates of return on stocks with more variable rates of return. ( LO3) b. The capital asset pricing model predicts that a security with a beta of zero will provide an expected return of zero. ( LO3) ¢. An investor who puts $10,000 in Treasury bills and $20,000 in the market portfolio will have a portfolio beta of 2. ( LO2) d. Investors demand higher expected rates of return from stocks with returns that are highly exposed to macroeconomic changes. ( LO3) e. Investors demand higher expected rates of return from stocks with returns that are very sensitive to fluctuations in the stock market. ( LO3) 2. Diversifiable Risk. In the light of what you've learned about market versus diversifiable (unique) risks, explain why an insurance company has no problem selling life insurance to individuals but is reluctant to issue policies insuring against flood damage to residents of coastal areas. Why don’t the insurance companies simply charge coastal residents a premium that reflects the actuarial probability of damage from hurricanes and other storms? ( LOT) 3. Unique Versus Market Risk. @F igure 12.10 plots monthly rates of return from 2006 to 2020 for the Snake Oil mutual fund and the S&P/TSX Composite Total Return Index. Was this fund well diversified? Explain. ( LO1) Monthly rates of return for the Snake Oil mutual fund and the S&P/TSX Composite Total Return Index (see problem 3) N Snake Oil return, 25 — & percent - ° @ .O 15 ® o ° @ [5) 10 E * ° ® o ® @ IS 5 - o ° ° @ PY [ [ | | | | | ] ® ® 30 20 10 ' ® 10 20 30 (s} @ ® -5 L4 . 0e® o Market return, ° @ 10 percent & o® ®e 7] ® o, s} -15 |- @ -20 o 25 L .
4. Risk and Return. Suppose that the risk premium on stocks and other securities did in fact rise with (that is, the variability of returns) rather than just market risk. Explain how investors could exploit the situation to create portfolios with high expected rates of return but low levels of risk. ( LO3) 5. CAPM and Hurdle Rates. A project under consideration has an internal rate of return of 14% and a beta of .6. The risk-free rate is 4% and the expected rate of return on the market portfolio is 11%. ( LO4) a. Should the project be accepted? b. Should the project be accepted if its beta is 1.6? ¢. Does your answer change? Why or why not? Intermediate 6. CAPM and Valuation. You are considering acquiring a firm that you believe can generate expected free cash flows of $10,000 a year forever. However, you recognize that those cash flows are uncertain. ( LO3) a. Suppose you believe that the beta of the firm is .4. How much is the firm worth if the risk-free rate is 5% and the expected market risk premium is 7%? b. By how much will you misvalue the firm if its beta is actually .6? Page 402 7. CAPM and Expected Return. If the risk-free rate is 4% and the expected market risk premium is 7%, is a security with a beta of 1.25 and an expected rate of return of 11% overpriced or underpriced? ( LO3) 8. Using Beta. Investors expect the market rate of return this year to be 14%. A stock with a beta of .8 has an expected rate of return of 12%. If the market return this year turns out to be 10%, what is your best guess as to the rate of return on the stock? ( LO3) 9. Unique Versus Market Risk. [’ Figure 12.11 shows plots of monthly rates of return on three stocks versus the stock market index. The beta and standard deviation of each stock is given beside its plot. a. Which stock is riskiest to a diversified investor? (@ LOT) b. Which stock is riskiest to an undiversified investor who puts all her funds in one of these stocks? ( LO1T) ¢. Consider a portfolio with equal investments in each stock. What would this portfolio’s beta have been? ( LO2) d. Consider a well-diversified portfolio made up of stocks with the same beta as Ford. What are the beta and standard deviation of this portfolio’s return? The standard deviation of the market portfolio’s return is 20%. ( LO2) e. What is the expected rate of return on each stock? Use the capital asset pricing model with an expected market risk premium of 8%. The risk-free rate of interest is 4%. ( LO3)
These plots show monthly rates of return for (a) Ford, (b) Newmont Mining, and (c) McDonald’s, plus the market portfolio. (See (@ problem 9.) (a) Beta = 2.46 Standard deviation = 34.6% 15 20 Ford return (%) Market return
(b) (c) Newmont Mining return (%) McDonald’s return (%) Beta = .84 Standard deviation = 28.6% Market return Beta =145 Standard deviation = 20.3% . 10 Market return
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Related Questions
3. Capital Asset Pricing Model
A. Suppose you invest $400,000 in Treasury Bills that have a yield to maturity of 4%
and $600,000 in the market portfolio with an expected return of 14%. What is the
expected return on your portfolio? Please show and explain.
B. Given the information in part (A), what is the required expected return for an
investment in a stock that has a beta of 0.7? Please show and explain.
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Answer of the question immediately please
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Q2.a. Consider the following scenario analysis.
Scenario
Probability
Recession
Normal
Boom
0.20
0.60
0.20
iii. Which investment would
Rate of Return
you prefer?
Stocks
-5%
+15
+25<
Bonds
+14%
+84
i. Is it reasonable to assume that Treasury bonds will provide higher returns in
recessions than booms? Explain your argument.<
ii. Calculate the expected rate of return and standard deviation for each
investment?
+4
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The following question illustrates the APT. Imagine that there are only two pervasive macroeconomic factors. Investments X, Y, and Z have the following sensitivities to these two factors: Investments b1 b2
X 1.75 0.25
Y 1.00 2.00
Z 2.00 1.00 Assume that the expected risk premium is 4% on factor 1 and 8% on factor 2. Treasury bills offer zero risk premium.
a. According to the APT, what is the risk premium on each of the three stocks?
b. Suppose you buy $200 of X and $50 of Y and sell $150 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium?
c. Suppose you buy $80 of X and $60 of Y and sell $40 of Z. What is the sensitivity of your portfolio to…
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I only need question c
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The following question illustrates the APT. Imagine that there are only two pervasive macroeconomic factors. Investments X, Y, and Z have the following sensitivities to these two factors:
Investment
b1
b2
X
1.75
0
Y
−1.00
2.00
Z
2.00
1.00
We assume that the expected risk premium is 7.8% on factor 1 and 11.8% on factor 2. Treasury bills obviously offer zero risk premium.
According to the APT, what is the risk premium on each of the three stocks?
Suppose you buy $500 of X and $125 of Y and sell $375 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium?
Suppose you buy $200 of X and $150 of Y and sell $100 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium?
Finally, suppose you buy $400 of X and $50 of Y and sell $200 of Z. What is your portfolio's sensitivity now to each of the two factors? And what is the expected risk premium?
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SITIcation.
24. In the capital asset pricing model, the beta coefficient is a measure of
index of the degree of movement of an asset's return in response to a change in
risk and an
A) diversifiable; the prime rate
B) nondiversifiable; the Treasury bill rate
C) diversifiable; the bond index rate
D) nondiversifiable; the market return
5.
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(a) What is CAPM and what purposes does it serve in finance in general, and in investments in particular? Discuss
(b) Outline and explain the main assumptions of CAPM. What limitations do these place on its practical application? Explain
(c)The risk premium of the market portfolio is 9 %, the risk free rate is 5 % and the beta estimate for AELZ is β = 1.3. What is the risk premium? What is the expected rate of return?
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Consider the following scenario analysis:
Scenario
Recession
Normal economy
Boom.
Probability
0.20
Stocks
Bonds
0.60
0.20
a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms?
b. Calculate the expected rate of return and standard deviation for each investment.
c. Which investment would you prefer?
Expected
Rate of
Return
1.3%
0.8 %
Complete this question by entering your answers in the tabs below.
Required A Required B Required C
Calculate the expected rate of return and standard deviation for each investment.
Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place.
Rate of Return.
Bonds
14%
8%
4%
Standard
Deviation
Stocks
-5%
15%
25%
15.3
Answer is complete but not entirely correct.
%
8.1 %
Dequired A
Required
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4. please help and explain
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When a firm invests in money market instruments, it is taking _______ and should expect __________.
Question 17 options:
1)
high risk, high returns
2)
high risk, low returns
3)
low risk, low returns
4)
low risk, high returns
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Question Five: Which of the following is not an assumption that underpins the capital asset pricing model (CAPM)?
Investors behave in accordance with Markowitz mean-variance portfolio theory.
Investors are rational and risk averse.
Investors all invest for the same period of time.
Investors have heterogeneous expectations about expected returns and return variances for all assets.
There is a risk free rate at which all investors can borrow or lend any amount.
Capital markets are perfectly competitive, frictionless and efficient.
Question Six: Which of the following expressions best describes the slope of the security market line?
The slope of the security market line is equal to the Sharpe ratio.
The slope of the security market line is equal to the Treynor ratio.
The slope of the security market line is equal to alpha.
The slope of the security market line is equal to the market risk premium.
The slope of the security market line is equal to the standard deviation of the risky…
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Consider the following scenario analysis:
Rate of Return
Scenario
Probability
Stocks
Bonds
Recession
0.30
-7%
18%
Normal economy
Boom
0.60
20%
0.10
26%
10%
3%
a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms?
b. Calculate the expected rate of return and standard deviation for each investment.
c. Which investment would you prefer?
Complete this question by entering your answers in the tabs below.
Required A Required B Required C
Calculate the expected rate of return and standard deviation for each investment.
Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place.
Expected Rate of
Return
Stocks
12.5%
Bonds
11.7 %
Standard Deviation
%
%
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If possible please answer d as well please
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12 - Your personal opinion is that a security has an expected rate of return of 0.11. It has a beta of 2. The risk-free rate
is 0.05 and the market expected rate of return is 0.09. According to the Capital Asset Pricing Model, this security is
a)
Cannot be determined from data provided.
b) O fairly priced.
1385
c) O overpriced.
d) O underpriced.
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need help with all
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Security A, standard deviation = 25% beta = 1.5
Security B, standard deviation = 40% beta = 1/3
If both securities have the same return, which should I invest in? Explain using knowledge of Capital Asset Pricing Model
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Question 3
a. According to the Capital Asset Pricing Model, what must be the beta of a portfolio with E[r] = 12%, if
rf 3% and E[TM] = 8%?
b. The market price of a security is $50. Its expected rate of return is 16%. The risk-free rate is 8%, and the
market risk premium is 8.5%. What will be the market price of the security if its covariance with the market
portfolio doubles (and all other variables remain unchanged)? Assume that the stock is expected to pay a
constant dividend in perpetuity.
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Question 6?
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3.1 Problem 3: You have access to two investment opportunities. Mutual Fund A, which promises 20% expected return with a variance of 0.36, and Mutual Fund B, which promises 15% expected return with a variance 0f 0.12. The covariance between the two is 0.084.
Suppose that you seek to construct a portfolio with an expected return equal to 18%. What proportions of your wealth should you invest in A and B? What is the standard deviation of such portfolio?
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CAPM
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Related Questions
- 3. Capital Asset Pricing Model A. Suppose you invest $400,000 in Treasury Bills that have a yield to maturity of 4% and $600,000 in the market portfolio with an expected return of 14%. What is the expected return on your portfolio? Please show and explain. B. Given the information in part (A), what is the required expected return for an investment in a stock that has a beta of 0.7? Please show and explain.arrow_forwardAnswer of the question immediately pleasearrow_forwardQ2.a. Consider the following scenario analysis. Scenario Probability Recession Normal Boom 0.20 0.60 0.20 iii. Which investment would Rate of Return you prefer? Stocks -5% +15 +25< Bonds +14% +84 i. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than booms? Explain your argument.< ii. Calculate the expected rate of return and standard deviation for each investment? +4arrow_forward
- The following question illustrates the APT. Imagine that there are only two pervasive macroeconomic factors. Investments X, Y, and Z have the following sensitivities to these two factors: Investments b1 b2 X 1.75 0.25 Y 1.00 2.00 Z 2.00 1.00 Assume that the expected risk premium is 4% on factor 1 and 8% on factor 2. Treasury bills offer zero risk premium. a. According to the APT, what is the risk premium on each of the three stocks? b. Suppose you buy $200 of X and $50 of Y and sell $150 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? c. Suppose you buy $80 of X and $60 of Y and sell $40 of Z. What is the sensitivity of your portfolio to…arrow_forwardI only need question carrow_forwardThe following question illustrates the APT. Imagine that there are only two pervasive macroeconomic factors. Investments X, Y, and Z have the following sensitivities to these two factors: Investment b1 b2 X 1.75 0 Y −1.00 2.00 Z 2.00 1.00 We assume that the expected risk premium is 7.8% on factor 1 and 11.8% on factor 2. Treasury bills obviously offer zero risk premium. According to the APT, what is the risk premium on each of the three stocks? Suppose you buy $500 of X and $125 of Y and sell $375 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? Suppose you buy $200 of X and $150 of Y and sell $100 of Z. What is the sensitivity of your portfolio to each of the two factors? What is the expected risk premium? Finally, suppose you buy $400 of X and $50 of Y and sell $200 of Z. What is your portfolio's sensitivity now to each of the two factors? And what is the expected risk premium?arrow_forward
- SITIcation. 24. In the capital asset pricing model, the beta coefficient is a measure of index of the degree of movement of an asset's return in response to a change in risk and an A) diversifiable; the prime rate B) nondiversifiable; the Treasury bill rate C) diversifiable; the bond index rate D) nondiversifiable; the market return 5. Loading document MacBook Air DII DD 80 F7 F8 F9 F2 F3 F4 F5 F6 呂arrow_forwardKindl helparrow_forwardHelparrow_forward
- M4arrow_forward(a) What is CAPM and what purposes does it serve in finance in general, and in investments in particular? Discuss (b) Outline and explain the main assumptions of CAPM. What limitations do these place on its practical application? Explain (c)The risk premium of the market portfolio is 9 %, the risk free rate is 5 % and the beta estimate for AELZ is β = 1.3. What is the risk premium? What is the expected rate of return?arrow_forwardConsider the following scenario analysis: Scenario Recession Normal economy Boom. Probability 0.20 Stocks Bonds 0.60 0.20 a. Is it reasonable to assume that Treasury bonds will provide higher returns in recessions than in booms? b. Calculate the expected rate of return and standard deviation for each investment. c. Which investment would you prefer? Expected Rate of Return 1.3% 0.8 % Complete this question by entering your answers in the tabs below. Required A Required B Required C Calculate the expected rate of return and standard deviation for each investment. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 1 decimal place. Rate of Return. Bonds 14% 8% 4% Standard Deviation Stocks -5% 15% 25% 15.3 Answer is complete but not entirely correct. % 8.1 % Dequired A Requiredarrow_forward
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- Fundamentals of Financial Management (MindTap Cou...FinanceISBN:9781285867977Author:Eugene F. Brigham, Joel F. HoustonPublisher:Cengage Learning
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ISBN:9781285867977
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