Corporate Finance: The Core Plus MyLab Finance with Pearson eText -- Access Card Package (4th Edition)
4th Edition
ISBN: 9780134409276
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Question
Chapter 11, Problem 23P
a)
Summary Introduction
To determine: The expected return.
Introduction:
Expected return refers to a return that the investors expect on a risky investment in the future.
b)
Summary Introduction
To determine: The volatility of the portfolio.
Introduction:
Standard deviation refers to the deviation of the actual returns from the expected returns.
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Suppose Johnson & Johnson and Walgreen Boots Alliance have expected returns and volatilities shown here, with a correlation of 20%. Calculate a. the expected return and b. the volatility(standard deviation) of a portfolio that consists of a long position of $12,000 in Johnson & Johnson and a short position of $2,000 in Walgreens.
Expected Return Standard Deviation
Johnson & Johnson 7.7% 16.5%
Walgreens 9.4% 19.2%
Suppose Johnson & Johnson and the Walgreen Company have expected returns and volatilities shown below, with a correlation of 22%.
Calculate the expected return of a portfolio that is equally invested in J&J and Walgreen’s stock.
Calculate the volatility (standard deviation) of a portfolio that is equally invested in Johnson & Johnson’s and Walgreen’s stock.
Here are some historical data on the risk characteristics of Ford and Harley Davidson.
Ford
Harley Davidson
β (beta)
1.26
0.69
Yearly standard deviation of return (%)
30.9
16.9
Assume the standard deviation of the return on the market was 12.0%.
a. The correlation coefficient of Ford’s return versus Harley Davidson is 0.27. What is the standard deviation of a portfolio invested half in each share?
b. What is the standard deviation of a portfolio invested one-third in Ford, one-third in Harley Davidson, and one-third in risk-free Treasury bills?
c. What is the standard deviation if the portfolio is split evenly between Ford and Harley Davidson and is financed at 50% margin, that is, the investor puts up only 50% of the total amount and borrows the balance from the broker?
d-1. What is the approximate standard deviation of a portfolio composed of 100 stocks with betas of 1.26 like Ford?
d-2. What is the approximate standard deviation of a portfolio composed of…
Chapter 11 Solutions
Corporate Finance: The Core Plus MyLab Finance with Pearson eText -- Access Card Package (4th Edition)
Ch. 11.1 - What is a portfolio weight?Ch. 11.1 - How do we calculate the return on a portfolio?Ch. 11.2 - What does the correlation measure?Ch. 11.2 - How does the correlation between the stocks in a...Ch. 11.3 - Prob. 1CCCh. 11.3 - Prob. 2CCCh. 11.4 - Prob. 1CCCh. 11.4 - Prob. 2CCCh. 11.4 - Prob. 3CCCh. 11.5 - What do we know about the Sharpe ratio of the...
Ch. 11.5 - If investors are holding optimal portfolios, how...Ch. 11.6 - When will a new investment improve the Sharpe...Ch. 11.6 - Prob. 2CCCh. 11.7 - Prob. 1CCCh. 11.7 - Prob. 2CCCh. 11.8 - Prob. 1CCCh. 11.8 - According to the CAPM, how can we determine a...Ch. 11 - You are considering how to invest part of your...Ch. 11 - You own three stocks: 600 shares of Apple...Ch. 11 - Consider a world that only consists of the three...Ch. 11 - There are two ways to calculate the expected...Ch. 11 - Using the data in the following table, estimate...Ch. 11 - Use the data in Problem 5, consider a portfolio...Ch. 11 - Using your estimates from Problem 5, calculate the...Ch. 11 - Prob. 8PCh. 11 - Suppose two stocks have a correlation of 1. If the...Ch. 11 - Arbor Systems and Gencore stocks both have a...Ch. 11 - Prob. 11PCh. 11 - Suppose Avon and Nova stocks have volatilities of...Ch. 11 - Prob. 13PCh. 11 - Prob. 14PCh. 11 - Prob. 16PCh. 11 - What is the volatility (standard deviation) of an...Ch. 11 - Prob. 18PCh. 11 - Prob. 19PCh. 11 - Prob. 20PCh. 11 - Suppose Ford Motor stock has an expected return of...Ch. 11 - Prob. 22PCh. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - Prob. 25PCh. 11 - Prob. 26PCh. 11 - A hedge fund has created a portfolio using just...Ch. 11 - Consider the portfolio in Problem 27. Suppose the...Ch. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - You have 10,000 to invest. You decide to invest...Ch. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - Prob. 34PCh. 11 - Prob. 35PCh. 11 - Prob. 36PCh. 11 - Assume all investors want to hold a portfolio...Ch. 11 - In addition to risk-free securities, you are...Ch. 11 - You have noticed a market investment opportunity...Ch. 11 - Prob. 40PCh. 11 - When the CAPM correctly prices risk, the market...Ch. 11 - Prob. 45PCh. 11 - Your investment portfolio consists of 15,000...Ch. 11 - Suppose you group all the stocks in the world into...Ch. 11 - Prob. 48PCh. 11 - Consider a portfolio consisting of the following...Ch. 11 - Prob. 50PCh. 11 - What is the risk premium of a zero-beta stock?...
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- Two-Asset Portfolio Stock A has an expected return of 12% and a standard deviation of 40%. Stock B has an expected return of 18% and a standard deviation of 60%. The correlation coefficient between Stocks A and B is 0.2. What are the expected return and standard deviation of a portfolio invested 30% in Stock A and 70% in Stock B?arrow_forwardThe standard deviation of stock returns for Stock A is 40%. The standard deviation of the market return is 20%. If the correlation between Stock A and the market is 0.70, then what is Stock A’s beta?arrow_forwardAn analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?arrow_forward
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