EBK CORPORATE FINANCE
4th Edition
ISBN: 9780134202778
Author: DeMarzo
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Textbook Question
Chapter 11, Problem 17P
What is the volatility (standard deviation) of an equally weighted portfolio of stocks within an industry in which the stocks have a volatility of 50% and a correlation of 40% as the portfolio becomes arbitrarily large?
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Students have asked these similar questions
Based on the following information, calculate the expected return and standard deviation for
each of the following stocks. What are the covariance and correlation between the returns of
the two stocks? Calculate the portfolio return and portfolio standard deviation if
you invest
equally in each asset.
Returns
State of Economy
Prob
J
K
Recession
0.25
-0.02
0.034
Normal
0.6
0.138
0.062
Boom
0.15
0.218
0.092
What are the components of the risk-free rate and What is financial risk?
If the standard deviation of a stock’s return is 5% and its expected return is 8%, what it the C.V.?
a. Determine Stock X's beta coefficient.
b. Determine the arithmetic average rates of return for Stock X and the NYSE over the period given.
Calculate the standard deviations of returns for both Stock X and the NYSE.
c. Assume that the required return on equity, re, for Stock X is equal to its average return. Likewise,
assume that the market return is equal to the NYSE's average return. Using the information calculated,
what is the assumed risk-free rate in the CAPM equation?
Hint: Solve algebraically for rf in, re = r¡ + B(rm – r;)
Chapter 11 Solutions
EBK CORPORATE FINANCE
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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- a. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio return and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a .45 correlation with the market portfolio and a standard deviation of 55 percent? c. Suppose the risk-free rate is 4.2 percent and the market portfolio has an expected return of 10.9 percent. The market portfolio has a variance of…arrow_forwardSuppose that the standard deviation of returns on each individual stock is 80% per annum and that the covariance between each pair of stocks is 0.25. What is the annual standard deviation of an equally weighted well - diversified portfolio?arrow_forwarda. Based on the following information, calculate the expected return and standard deviation for each of the following stocks. What are the covariance and correlation between the returns of the two stocks? Calculate the portfolio returm and portfolio standard deviation if you invest equally in each asset. Returns State of Economy Prob J K Recession 0.25 -0.02 0.034 Normal 0.6 0.138 0.062 Boom 0.15 0.218 0.092 b. A portfolio that combines the risk-free asset and the market portfolio has an expected return of percent and a standard deviation of 10 percent. The risk-free rate is 4 percent, and the Page 7 of 33 expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a 45 corelation with the market portfolio and a standard deviation of 55 percent? C. Suppose the risk-free rate is 4.2 percent and the market portfolıo has an expected return of 10.9 mercent Tibemadkat normfeliobasiabiamance…arrow_forward
- How many variance terms and how many covariance terms do you need to calculate therisk of a 100-share portfolio?b. Suppose that all stocks had a standard deviation of 30% and a correlation with each otherof 0.4. What is the standard deviation of the returns on a portfolio that has equal holdingsin 50 stocks?c. What is the standard deviation of a fully diversified portfolio of such stocks?arrow_forwardAssume the CAPM holds and consider stock X, which has a return variance of 0.09 and a correlation of 0.75 with the market portfolio. The market portfolio's Sharpe ratio is 0.30 and the the risk-free rate is 5%. (a) What is Stock X's expected return? (b) What proportion of Stock X's return volatility (i.e. standard deviation) is priced by the market? Explain why this number is less than 1.arrow_forwardThe metric that is used to show the extent to which a given stock’s return move up and down with the stock market? a. Correlation b. Beta c. Standard deviation d. Expected returnarrow_forward
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