Fundamentals of Corporate Finance
11th Edition
ISBN: 9780077861704
Author: Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Bradford D Jordan Professor
Publisher: McGraw-Hill Education
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Chapter 13, Problem 10QP
Returns and Standard Deviations [LO1] Consider the following information:
![Chapter 13, Problem 10QP, Returns and Standard Deviations [LO1] Consider the following information: a. Your portfolio is](http://dev-ingestion-image-output.s3-website-us-east-1.amazonaws.com/9780077861704/Chapter-13/images/61704-13-10qp-question-digital_image_001.png)
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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Portfolio
Suppose rA ~ N (0.05, 0.01), rB ~ N (0.1, 0.04)
with pA,B = 0.2
where rA and rB are CCR’s.
a) Suppose you construct a portfolio with 50% for A and 50% for B. Find the variance of the portfolio CCR.
b) Find the portfolio expected gross return.
c) Find the expected portfolio CCR.
EXAMPLE: PORTFOLIO VARIANCE• Consider the following information on returnsand probabilities:▪ Invest 50% of your money in Asset A
State Probability A B PortfolioBoom .4 30% -5% 12.5%Bust .6 -10% 25% 7.5%• What are the expected return and standarddeviation for each asset?• What are the expected return and standarddeviation for the portfolio?
Analyze investment M and investment J using the below.
Scenario
Probability
M Return J Return
Strong
.30
18%
20%
Normal
.30
15%
12%
Weak
.40
9%
5%
1. What is the range for M?
2. What is the average exp. return for M ?
3. What is the standard deviation* M? 3.85 (given)
4. What is the CV for M?
5. What is the range for J?
6. What is the average exp. return for J?
7. What is the standard deviation J? 6.22 (given)
8. What is the CV for J?
9. Which is the better choice?
Chapter 13 Solutions
Fundamentals of Corporate Finance
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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