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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Chapter 11, Problem 31P
You have $10,000 to invest. You decide to invest $20,000 in Google and short sell $10,000 worth of Yahoo! Google’s expected return is 15% with a volatility of 30% and Yahoo!’s expected return is 12% with a volatility of 25%. The stocks have a correlation of 0.9. What is the expected return and volatility of the portfolio?
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You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its net are summarized below. Calculate the beta of the portfolio and use the capital asset pricing model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 18% and that the risk-free rate is 6%.
Stock A, Investment = $188,000, Beta=1.50,
Stock B, Investment = $282,000, Beta =0.50,
Stock C, Investment = $470,000, Beta = 1.30
Beta of the portfolio ?
Expected rat of return ? %
You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized
below.
Stock
Investment
Beta
A
$218,000
1.50
B
327,000
0.60
C
545,000
1.18
D
Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the
portfolio. Assume that the expected rate of return on the market is 17 percent and that the risk-free rate is 8 percent. (Round beta
answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.)
Beta of the portfolio
Expected rate of return
%
You have $122,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to
create a portfolio that has an expected return of 17.6 percent. Stock X has an expected
return of 14.0 percent and a beta of 1.26, and Stock Y has an expected return of 9.5
percent and a beta of 1.00.
a. How much money will you invest in Stock Y? (A negative answer should be indicated
by a minus sign. Do not round Intermediate calculations and round your answer to
the nearest whole number, e.g., 32.)
b. What is the beta of your portfolio? (Do not round intermediate calculations and
round your answer to 3 decimal places, e.g., 32.161.)
a.
Investment in Stock Y
b. Beta of the portfolio
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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- You have $122,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to create a portfolio that has an expected return of 17.6 percent. Stock X has an expected return of 14.0 percent and a beta of 1.26, and Stock Y has an expected return of 9.5 percent and a beta of 1.00. a. How much money will you invest in Stock Y? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) b. What is the beta of your portfolio?arrow_forwardYou have $19,878 to invest in a stock portfolio. Your choices are Stock "X" with an expected return of 12.5% and Stock Y with an expected return of 8.24%. If your goal is to create a portfolio with an expected return of 11.92%, how much money will you invest in Stock X? State of Economy Probability of State of Economy Return Stock A Return Stock B Return Stock C Boom 0.20 19.41% 20.65% 29.51% Good 0.35 8.08% 10.59% 13.88% Poor 0.40 5.53% 3.23% 5.04% Bust 0.05 1.77% 1.47% 1.16% Your portfolio is invested 23% each in stock A and C and the remaining in stock B. What is the expected return of the portfolio? NOTE: Enter the PERCENTAGE number rounding to two decimals. If your decimal answer is 0.034576, your answer must be 3.46. DO NOT USE the % sign A Stock has a beta of 1, the expected return on the market is 17.72%, and the risk-free rate is 4.85%. What must the expected return on this stock be? NOTE: Enter the PERCENTAGE number rounding to two…arrow_forwardYou have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock. Investment A B C $224,000 336,000 560,000 Beta of the portfolio Beta Expected rate of return 1.50 0.60 Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 16 percent and that the risk-free rate is 8 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.) 1.35 do % SUPParrow_forward
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