Principles of Corporate Finance
13th Edition
ISBN: 9781260465099
Author: BREALEY, Richard
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 7, Problem 23PS
Portfolio betas A portfolio contains equal investments in 10 stocks. Five have a beta of 1.2; the remainder have a beta of 1.4. What is the portfolio beta?
- a. 1.3.
- b. Greater than 1.3 because the portfolio is not completely diversified.
- c. Less than 1.3 because diversification reduces beta.
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Students have asked these similar questions
The beta coefficient
A stock’s contribution to the market risk of a well-diversified portfolio is called Q1. ______risk. It can be measured by a metric called the beta coefficient, which calculates the degree to which a stock moves with the movements in the market.
Q2. Based on your understanding of the beta coefficient, indicate whether each statement in the following table is true or false:
Statement
True
False
Over time, a stock with a beta of 1.0 produces a return that goes up and down with a 1:1 relationship with the return on the market.
Beta measures the volatility in stock movements relative to the market.
A stock that is more volatile than the market will have a beta of less than 1.0.
Q1. Option 1 Unsystematic or Option 2 Relevant.
Please provide true or false answers. Thank you!
Problem 1:
You invest in a portfolio of 5 stocks with an equal
investment in each one. The betas of the 5 stocks
are as follows: .75, -1.2, .90, 1.3, 1.5. The risk free
return is 4% and the market return is 9%.
A. Compute the beta of the portfolio
B. Compute the required return of the portfolio
Problem 1
You are given the following information about stock X and the market portfolio, M:
Riskless Asset (f)
Stock X
Market Portfolio (M)
E(r)
0.04 (4%)
?
0.10
σ
0.00
0.30
0.20
You are not given the expected return of stock X. The correlation of the returns on the stock X and
the market portfolio is equal to 0.4.
a) What is the beta (6) of stock X?
b) Assuming the CAPM holds, what is the expected return on stock X?
c) You have $1,000 to invest in some combination of the risk-free asset, stock X, and the market
portfolio. You are thinking of investing $300 in the risk free asset, $400 in stock X, and $300
in the market portfolio. What is the overall expected return, standard deviation and beta of
this portfolio?
Chapter 7 Solutions
Principles of Corporate Finance
Ch. 7 - Rate of return The level of the Syldavia market...Ch. 7 - Real versus nominal returns The Costaguana stock...Ch. 7 - Arithmetic average and compound returns Integrated...Ch. 7 - Risk premiums Here are inflation rates and U.S....Ch. 7 - Risk Premium Suppose that in year 2030, investors...Ch. 7 - Stocks vs. bonds Each of the following statements...Ch. 7 - Expected return and standard deviation A game of...Ch. 7 - Standard deviation of returns The following table...Ch. 7 - Average returns and standard deviation During the...Ch. 7 - Prob. 10PS
Ch. 7 - Prob. 11PSCh. 7 - Diversification Here are the percentage returns on...Ch. 7 - Risk and diversification In which of the following...Ch. 7 - Prob. 14PSCh. 7 - Portfolio risk To calculate the variance of a...Ch. 7 - Portfolio risk a) How many variance terms and how...Ch. 7 - Portfolio risk Table 7.8 shows standard deviations...Ch. 7 - Portfolio risk Hyacinth Macaw invests 60% of her...Ch. 7 - Stock betas What is the beta of each of the stocks...Ch. 7 - Stock betas There are few, if any, real companies...Ch. 7 - Portfolio betas A portfolio contains equal...Ch. 7 - Portfolio betas Suppose the standard deviation of...Ch. 7 - Portfolio risk Here are some historical data on...Ch. 7 - Portfolio risk Suppose that Treasury bills offer a...
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- 6. Consider the following performance data for two portfolio managers (A and B) and a common benchmark portfolio: BENCHMARK MANAGER A MANAGER B Return Weight Weight Weight Return Return Stock 0.5 -4.0% 0.6 -5.0% 0.3 -5.0% Bonds 0.3 -3.5 0.2 -2.5 0.4 -3.5 0.1 Cash 0.3 0.3 0.3 0.3 0.3 Evaluation of Asset Management a. Calculate (1) the overall return to the benchmark portfolio, (2) the overall return to Manager A's actual portfolio, and (3) the overall return to Manager B's actual portfo- lio. Briefly comment on whether these managers have under- or outperformed the benchmark fund. b. Using attribution analysis, calculate (1) the selection effect for Manager A, and (3) the allocation effect for Manager B. Using these numbers in conjunction with your results from part (a), comment on whether these managers have added value through their selection skills, their allocation skills, or both.arrow_forwardQuestion 1 a. Explain why it is important to have diversification in a portfolio. b. The following table represents a portfolio of two (2) assets: State of Probability of Return of Return of Nature State of Stock Stock B Nature under under Different Different State of State of Nature Nature Вoom 0.3 20% 25% Normal 0.5 10% 20% Recession 0.2 5% 10% i. What is the expected return on Stock A and Stock B? ii. What is the standard deviation of returns of Stock A and Stock B? iii. Which Stock is more volatile? c. Suppose you use J$100 000 to construct a portfolio comprising of Stock A and stock B, such that you invest J$30 000 and J $70 000 in Stock A and Stock B respectively. Also you have done some research and estimated the Beta (B) of the Stocks to be: Stock A=0.75 and Stock B=0.50. Use the expected returns calculated for each stock in (b), above to calculate the following: i. The expected return on the portfolio ii. Calculate the expected beta of the portfolio. , iii. Explain briefly how…arrow_forwardIf an investor that owns a portfolio with 3 stocks increases their portfolio to 30 stocks, which of the following is MOST LIKELY to happen? Select one: a. risk would increase b. the Sharpe ratio would increase c. return would decrease d. Sharpe would decreasearrow_forward
- 1. A stock has a beta of 1.15 and an expected return of 14 percent. A risk-free asset Currently earns 4.2 percent. a . What is expected return on a portfolio that is equally in inverted assets? b. if portfolio of the two assets has beta of 75, what are the portfolio weights? C. if a portfolio of the two assets has an expected return of 8 percent .what is its beta? the twoarrow_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 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_forwardYou want to estimate the cost of equity of firm A using CAPM. Firm A has a beta of 1.3. Assume that the return on the market portfolio is 8.52%, and the risk-free rate is 3%. What is the cost of equity of firm A? Group of answer choices There is not enough information to answer this question. 10.17% 11.74% 14.21% 12.11%arrow_forward
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