Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
4th Edition
ISBN: 9780134083278
Author: Jonathan Berk, Peter DeMarzo
Publisher: PEARSON
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Textbook Question
Chapter 11, Problem 7P
Using your estimates from Problem 5, calculate the volatility (standard deviation) of a portfolio that is 70% invested in stock A and 30% invested in stock B.
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a) Compute the expected return for stocks A and B b) Compute the standard deviation for stocks A and B. Which stock is riskier?c) Compute the expected return of a portfolio that comprises of 70% stock A and 30% stock B d) Compute the standard deviation of returns for the market portfolio e) Which, among stocks A, B and the market is riskier? Respond in light of your computations
Suppose that the capital asset pricing model (CAPM) applies. The risk premium of a stock is 3 percent and the risk premium of the market portfolio is 2. The standard deviation of the market portfo- lio is 6. Compute the covariance between the stock and the market portfolio.
(4) Please answer the following short questions with what you have learned.
There is a portfolio of two assets - 30% investment in Stock A and 70% investment in
Stock B. The correlation of returns between Stock A and Stock B is 0.50. The
covariance between these two stocks is 0.0043, and the standard deviation of the
return of Stock B is 26%.
Requirements:
(a) Please calculate the standard deviation of the return of Stock A.
(b) Please calculate the standard deviation of the return of portfolio.
(c) If we increase more and more different stocks in the portfolio, will it always
decrease the risk (standard deviation) of the return of the portfolio? Please explain
your answer in detail.
Chapter 11 Solutions
Corporate Finance (4th Edition) (Pearson Series in Finance) - Standalone book
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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- Consider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1. Draw the capital market line and show the position of stock A.arrow_forwardA portfolio has three stocks. Their portfolio weights and expected returns are as follows. Weight E(r) Stock A 0.4 22% Stock B 0.4 4% Stock C 0.2 -18% What is the expected return on the portfolio?arrow_forwardUsing the data in the following table,, consider a portfolio that maintains a 50% weight on stock A and a 50% weight on stock B a. What is the return each year of this portfolio? b. Based on your results from part (a), compute the average return and volatility of the portfolio. c. Show that (i) the average return of the portfolio is equal to the (weighted) average of the average returns of the two stocks, and (ii) the volatility of the portfolio equals the same result as from the calculation in Eq. 11.8. d. Explain why the portfolio has a lower volatility than the average volatility of the two stocks. a. What is the return each year of this portfolio? Enter the return of this portfolio for each year in the table below (Round to two decimal places.) Year Portfolio Data table 2010 % 2011 % 2012 % 2013 % (Click on the following icon in order to copy its contents into a spreadsheet.) 2014 2015 %1 1% Year 2010 2011 2012 2013 2014 2015 Stock A -10% 20% 5% 5% 2% 9% Stock B 21% 7% 30% -3% 8%…arrow_forward
- Consider an investment portfolio that consists of three different stocks, with the amount invested in each asset shownbelow. Assume the risk-free rate is 2.5% and the market risk premium is 6%. Use this information to answer thefollowing questions.Stock Weights BetasChesapeake Energy 25% 0.8Sodastream 50% 1.3Pentair 25% 1.0a) Compute the expected return for each stock using the CAPM and assuming that the stocks are all fairly priced.b) Compute the portfolio beta and the expected return on the portfolio.c) Now assume that the portfolio only includes 50% invested in Pentair and 50% invested in Sodastream (i.e., a twoassetportfolio). The yearly-return standard deviation of Pentair is 48% and the yearly-return standard deviation ofSodastream is 60%. The correlation coefficent between Pentair’s returns and Sodastream’s returns is 0.3 What is theexpected yearly-return standard deviation for this portfolio?arrow_forwardCalculate the standard deviation of a portfolio with 0.24 invested in Asset A, 0.33 invested in Asset B, and the rest invested in Asset C. Express your answer as a decimal with four digits after the decimal point (e.g., 0.1234, not 12,34%). Std Dev(A) = 0.43, Std Devirg) = 0.67. Std Dev(rc)=0.53 Correlation(A) =-0.24, Correlation(Arc)-0.32, Correlationirere)=0.09 Type your answer.....arrow_forwardA portfolio is invested 10 percent in Stock G, 37 percent in Stock J, with remainder in Stock K. The expected returns on these stocks are 10 percent, 10.95 percent, and 15.59 percent, respectively. What is the portfolio's expected return? Answer to two decimals.arrow_forward
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