FUND CORP FIN+CONNECTPLUS(LL) >CUSTOM<
11th Edition
ISBN: 9781259699481
Author: Ross
Publisher: MCG CUSTOM
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Textbook Question
Chapter 13, Problem 10QP
Returns and Standard Deviations [LO1] Consider the following information:
a. Your portfolio is invested 30 percent each in A and C, and 40 percent in B. What is the expected return of the portfolio?
b. What is the variance of this portfolio? The standard deviation?
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Consider the following information
State Probability X Y
Boom .25 15% 10%
Normal .60 10% 9%
Recession .15 5% 10%
What is the standard deviation for a portfolio with an investment of $6000 in asset X and $4000 in asset Y?
State Probability Return on A Return on B Boom .20 20% 5% Normal .50 10% 8% Bust .30 8% 12%
What is the variance of a portfolio with 80% of the funds invested in A?
What is the standard deviation of a portfolio with 80% of the funds invested in A?
CAPM: The Treasury bill rate is 5%, and the expected return on the market portfolio is 12%. On the basis of Capital Asset Pricing Model:
What is the risk premium of the market?
What is the risk premium of an investment with a beta of 1.5?
What is the required return of an investment with a beta of 1.5?
If an investment has a beta of .8 and offers an expected return of 11% (think of it as its IRR), does it have a positive NPV?
Chapter 13 Solutions
FUND CORP FIN+CONNECTPLUS(LL) >CUSTOM<
Ch. 13.1 - How do we calculate the expected return on a...Ch. 13.1 - In words, how do we calculate the variance of the...Ch. 13.2 - What is a portfolio weight?Ch. 13.2 - How do we calculate the expected return on a...Ch. 13.2 - Is there a simple relationship between the...Ch. 13.3 - What are the two basic parts of a return?Ch. 13.3 - Under what conditions will a companys announcement...Ch. 13.4 - Prob. 13.4ACQCh. 13.4 - Prob. 13.4BCQCh. 13.5 - What happens to the standard deviation of return...
Ch. 13.5 - What is the principle of diversification?Ch. 13.5 - Why is some risk diversifiable? Why is some risk...Ch. 13.5 - Why cant systematic risk be diversified away?Ch. 13.6 - Prob. 13.6ACQCh. 13.6 - What does a beta coefficient measure?Ch. 13.6 - True or false: The expected return on a risky...Ch. 13.6 - How do you calculate a portfolio beta?Ch. 13.7 - Prob. 13.7ACQCh. 13.7 - What is the security market line? Why must all...Ch. 13.7 - Prob. 13.7CCQCh. 13.8 - If an investment has a positive NPV, would it plot...Ch. 13.8 - What is meant by the term cost of capital?Ch. 13 - Prob. 13.1CTFCh. 13 - Prob. 13.5CTFCh. 13 - Beta is a measure of what?Ch. 13 - The slope of the security market line is equal to...Ch. 13 - Where would a negative net present value project...Ch. 13 - Prob. 1CRCTCh. 13 - Prob. 2CRCTCh. 13 - Systematic versus Unsystematic Risk [LO3] Classify...Ch. 13 - Systematic versus Unsystematic Risk [LO3] Indicate...Ch. 13 - Prob. 5CRCTCh. 13 - Diversification [LO2] True or false: The most...Ch. 13 - Portfolio Risk [LO2] If a portfolio has a positive...Ch. 13 - Beta and CAPM[LO4] Is it possible that a risky...Ch. 13 - Corporate Downsizing [LO1] In recent years, it has...Ch. 13 - Earnings and Stock Returns [LO1] As indicated by a...Ch. 13 - Determining Portfolio Weights [LO1] What are the...Ch. 13 - Portfolio Expected Return [LO1] You own a...Ch. 13 - Portfolio Expected Return [LO1] You own a...Ch. 13 - Prob. 4QPCh. 13 - Prob. 5QPCh. 13 - Prob. 6QPCh. 13 - Calculating Returns and Standard Deviations [LO1]...Ch. 13 - Calculating Expected Returns [LO1] A portfolio is...Ch. 13 - Returns and Variances [LO1] Consider the following...Ch. 13 - Returns and Standard Deviations [LO1] Consider the...Ch. 13 - Calculating Portfolio Betas [LO4] You own a stock...Ch. 13 - Calculating Portfolio Betas [LO4] You own a...Ch. 13 - Using CAPM[LO4] A stock has a beta of 1.15, the...Ch. 13 - Using CAPM[LO4] A stock has an expected return of...Ch. 13 - Using CAPM [LO4] A stock has an expected return of...Ch. 13 - Using CAPM [LO4] A stock has an expected return of...Ch. 13 - Using the SML[LO4] Asset W has an expected return...Ch. 13 - Reward-to-Risk Ratios [LO4] Stock Y has a beta of...Ch. 13 - Reward-to-Risk Ratios [LO4] In the previous...Ch. 13 - Using CAPM [LO4] A stock has a beta of 1.14 and an...Ch. 13 - Portfolio Returns [LO2] Using information from the...Ch. 13 - Prob. 22QPCh. 13 - Portfolio Returns and Deviations [LO2] Consider...Ch. 13 - Analyzing a Portfolio [LO2, 4] You want to create...Ch. 13 - Analyzing a Portfolio [LO2, 4] You have 100,000 to...Ch. 13 - Systematic versus Unsystematic Risk [LO3] Consider...Ch. 13 - SML [LO4] Suppose you observe the following...Ch. 13 - SML [LO4] Suppose you observe the following...Ch. 13 - Prob. 1MCh. 13 - Beta is often estimated by linear regression. A...Ch. 13 - Prob. 3MCh. 13 - Prob. 4MCh. 13 - Prob. 5M
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- The Treasury bill rate is 3.1%, and the expected return on the market portfolio is 10.2%. Use the capital asset pricing model. Question: If an investment with a beta of 1 offers an expected return of 7.8%, does it have a positive NPV?arrow_forward10) Given an optimal risky portfolio with expected return of 15%, standard deviation of 26%, and a risk free rate of 5%, what is the slope of the best feasible CAL? A) 0.64 B) 0.27 C) 0.08 D) 0.38 E) 0.36 Provide explanation for the correct answer.arrow_forwardplease answer this two ASAP QUESTION 73 What is the VaR of a $10 million portfolio with normally distributed returns at the 5% VaR? Assume the expected return is 13% and the standard deviation is 20%. -13% 19.90% 13% -19.90% QUESTION 74 The geometric average of -12%, 20% and 25% is ________. 18.88% 11% 8.42% 9.7%arrow_forward
- Consider the following information in Figure 1 below for a portfolio including security A and security B: Figure 1 State of the economy Probability of state of economy Return on A (%) Return on B (%) Boom 0.2 15 5 Growth 0.2 -5 0 Normal 0.5 10 10 Recession 0.1 5 20 If you want to include one more security C into the above portfolio. (e.g., a new portfolio including securities A, B, and C), what is the new portfolio variance if you invest 40% of C and 60% of the old portfolio including A and B (50% weights for A and B)? Assume the standard deviation of C is 10%, and correlation coefficient between the old portfolio and C is 0.8.arrow_forwardProblem 3: Suppose the market portfolio has an expected return of 10% and astandard deviation of returns of 25%. The risk-free rate is 5%. Assume that theCAPM holds.a) What is the expected return of a stock that has a beta of 2?b) If a stock has an expected return of 15% and a standard deviation ofreturns of 70%, what fraction of the stock’s variance representsidiosyncratic risk?c) What is the expected return of the “best” portfolio that has a standarddeviation of returns of 70%? That is, how high an expected return canyou get if you are willing to hold a portfolio with σp = 70%?arrow_forwardConsider the following information: Standard Deviation. Beta Security T 30% 1.90 Security K. 30% 1.20 a. Which security has more total risk? b. Which security has more systematic risk? c. Which security should have the higher expected return? d. What does the total risk consist of? What kind of risk is eliminated with portfolio diversification?arrow_forward
- Consider the following information: Rate of Return if State Occurs State of Economy Probability of State of Economy Stock A Stock B Stock C Boom .15 .35 .45 .27 Good .55 .16 .10 .08 Poor .25 -.01 -.06 -.04 Bust .05 -.12 -.20 -.09 a) Your portfolio is invested 40 percent each in A and C, and 20 percent in B. What is the expected return of the portfolio? b) What is the variance of this portfolio? The standard deviation? Stock C .45 .27 .10 .08 -.06 -.04 -.20 -.09arrow_forwardCAPM The Treasury bill rate is 4%, and the expected return on the market portfolio is 12%. Using the capital asset pricing model: Draw a graph similar to show how the expected return varies with beta. What is the risk premium on the market? What is the required return on an investment with a beta of 1.5? If an investment with a beta of .8 offers an expected return of 9.8%, does it have a positive NPV? If the market expects a return of 11.2% from stock X, what is its beta?arrow_forward(corrected problem) NEW 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 CORRELATION COEFFICIENT 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?arrow_forward
- Consider the following information: Standard Deviation Beta Security T 30% 1.90 Security K 30% 1.20 Which security has more total risk? Which security has more systematic risk? Which security should have the higher expected return? What does the total risk consist of? What kind of risk is eliminated with portfolio diversification?arrow_forwardPortfolio Expected return Standard deviation Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5% Q) If you are only willing to make an investment with a standard deviation of 7.0%, is it possible for you to earn a return of 7.0%?arrow_forwardConsider the following scenario analysis: Scenario Probability Stocks Bonds Recession 0.30 -6 % +15% Normal Economy 0.30 +14 + 7 Boom 0.40 +26 +5 Calculate the expected rate of return and standard deviation for each investment? Which investment would you prefer?arrow_forward
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