Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
12th Edition
ISBN: 9781259144387
Author: Richard A Brealey, Stewart C Myers, Franklin Allen
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 8, Problem 8PS
APT Consider a three-factor APT model. The factors and associated risk premiums are
Calculate expected
- a) A stock whose return is uncorrelated with all three factors.
- b) A stock with average exposure to each factor (i.e., with b = 1 for each).
- c) A pure-play energy stock with high exposure to the energy factor (b = 2) but zero exposure to the other two factors.
- d) An aluminum company stock with average sensitivity to changes in interest rates and GNP, but negative exposure of b = –1.5 to the energy factor. (The aluminum company is energy-intensive and suffers when energy prices rise.)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Assume that using the Security Market Line(SML) the required rate of return(RA)on stock A is found to be halfof the required return (RB) on stock B. The risk-free rate (Rf) is one-fourthof the required return on A. Return on market portfolio is denoted by RM. Find the ratioof betaof A(A) tobeta of B(B).
Thank you for your help.
The security market line (SML) is an equation that shows the relationship between risk as measured by beta and the required rates of return on individual securities. The SML equation is given below:
Required return on Stock = Risk-free return + (Market risk premium) (Stock's beta)
If a stock's expected return plots on or above the SML, then the stock's return is sufficient ✓to compensate the investor for risk. If a stock's expected return plots below the SML, the stock's return
is insufficient to compensate the investor for risk.
The SML line can change due to expected inflation and risk aversion. If inflation changes, then the SML plotted on a graph will shift up or down parallel to the old SML. If risk aversion changes, then the
SML plotted on a graph will rotate up or down becoming more or less steep if investors become more or less risk averse. A firm can influence market risk (hence its beta coefficient) through changes in
the composition of its assets and through changes in the…
c) Assume that using the Security Market Line (SML) the required rate of return (Ra) on stock A is found
to be half of the required return (Rs) on stock B. The risk-free rate (R:) is one-fourth of the required
return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (Ba) to beta of B
(B).
Chapter 8 Solutions
Principles of Corporate Finance (Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Ch. 8 - Portfolio risk and return Here are returns and...Ch. 8 - Efficient portfolios For each of the following...Ch. 8 - Sharpe ratio Use the long-term data on security...Ch. 8 - Efficient portfolios Figure 8.11 purports to show...Ch. 8 - CAPM Suppose that the Treasury bill rate is 6%...Ch. 8 - CAPM True or false? a. The CAPM implies that if...Ch. 8 - APT Consider a three-factor APT model. The factors...Ch. 8 - CAPM True or false? Explain or qualify as...Ch. 8 - Portfolio risk and return Look back at the...Ch. 8 - Portfolio risk and return Mark Harrywitz proposes...
Ch. 8 - Portfolio risk and return Ebenezer Scrooge has...Ch. 8 - Portfolio beta Refer to Table 7.5. a. What is the...Ch. 8 - CAPM The Treasury bill rate is 4%, and the...Ch. 8 - Portfolio risk and return Percival Hygiene has IO...Ch. 8 - Cost of capital Epsilon Corp. is evaluating an...Ch. 8 - Prob. 18PSCh. 8 - APT Consider the following simplified APT model:...Ch. 8 - Prob. 20PSCh. 8 - Prob. 21PSCh. 8 - Prob. 22PSCh. 8 - Prob. 23PSCh. 8 - Efficient portfolios Look again at the set of the...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.Similar questions
- Suppose that the market can be described by the following three sources of systematic risk with associated risk premiums. Risk Premium Factor Industrial production (I) Interest rates (R) Consumer confidence (C) Required: 8% 4 7 The return on a particular stock is generated according to the following equation: r = 17% +0.9/+0.5R+0.70 C+ e a-1. Find the equilibrium rate of return on this stock using the APT. The T-bill rate is 3%. Note: Do not round intermediate calculations. Round your answer to 1 decimal place. a-2. Is the stock over- or underpriced? a-1. Equilibrium rate of return a-2 Is the stock over- or underpriced? %arrow_forwardSuppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 8% 55% B 4% 45% Correlation = −1 Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than rate of return?arrow_forwardAssume that using the Security Market Line (SML) the required rate of return (RA) on stock A is foundto be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the requiredreturn on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (A) to beta of B(B). d) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to payreturns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standarddeviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also hasstandard deviation equal to 20% and has correlation of 0.5 with the S&P500. Determine whetherasset A and B are overvalued or undervalued, and explain why. (Hint: Beta of asset i (??) =???????, where ??,?? are standard deviations of asset i and marketportfolio, ??? is the correlation between asset i and the market portfolio)Question 2. Foreign exchange marketsStatoil, the national…arrow_forward
- 1arrow_forwardSuppose the expected return for the market portfolio and risk-free rate are 13 percent and 3 percent respectively. Stocks A, B, and C have Treynor measures of 0.24, 0.16, and 0.11, respectively. Based on this information, an investor should ______?arrow_forwardAssume that using the Security Market Line (SML) the required rate of return (RA) on stock A is found to be half of the required return (RB) on stock B. The risk-free rate (Rf) is one-fourth of the required return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (bA) to beta of B (bB). please show all workings and not merely : Ra = 1/2 rbRf = 1/4 Raarrow_forward
- How do you find the market risk premium and market expected return given the expected return of stock, beta, and risk free rate? Example: The expected return of a stock with a beta of 1.2 is 16.2%. Calculate the market risk premium and the market expected return, given a risk-free rate of 3%.arrow_forwarda) The covariance between stocks A and B is 0.0014, standard deviation of stock A is 0.032, and standard deviation of stock B is 0.044. Which of the following is the most appropriate to depict the risk- return characteristics of a portfolio consisting of only stocks A and B, and explain why? E(R) E(R) E(R) A A A (A) (B) (C) b) found to be half of the required return (Rs) on stock B. The risk-free rate (R) is one-fourth of the required Assume that using the Security Market Line (SML) the required rate of return (RA) on stock A is return on A. Return on market portfolio is denoted by RM. Find the ratio of beta of A (DA) to beta of B (OB). c) Assume that the short-term risk-free rate is 3%, the market index S&P500 is expected to pay returns of 15% with the standard deviation equal to 20%. Asset A pays on average 5%, has standard deviation equal to 20% and is NOT correlated with the S&P500. Asset B pays on average 8%, also has standard deviation equal to 20% and has correlation of 0.5 with…arrow_forwardAssume an economy in which there are three securities: Stock A with rA = 10% and σA = 10%; Stock B with rB = 15% and σB = 20%; and a riskless asset with rRF = 7%. Stocks A and B are uncorrelated (rAB = 0). Which of the following statements is most CORRECT? 1. b. The expected return on the investor’s portfolio will probably have an expected return that is somewhat below 10% and a standard deviation (SD) of approximately 10%. 2. d. The investor’s risk/return indifference curve will be tangent to the CML at a point where the expected return is in the range of 7% to 10%. 3. e. Since the two stocks have a zero correlation coefficient, the investor can form a riskless portfolio whose expected return is in the range of 10% to 15%. 4. a. The expected return on the investor’s portfolio will probably have an expected return that is somewhat above 15% and a standard deviation (SD) of approximately 20%. 5.…arrow_forward
- Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 4 percent and the expected return for the market is 17 percent. STOCK BETA A 0.63 B 0.95 C 1.48 a. Using the CAPM, the required rate of return for stock A is B.Using the CAPM, the required rate of return for stock b is C.Using the CAPM, the required rate of return for stock C is (Round to two decimal places.)arrow_forwardSuppose that the market can be described by the following three sources of systematic risk with associated risk premiums. Factor Risk Premium Industrial production (I) 6 % Interest rates (R) 2 Consumer confidence (C) 4 The return on a particular stock is generated according to the following equation: r = 15% + 1.0I + 0.5R + 0.75C + ea-1. Find the equilibrium rate of return on this stock using the APT. The T-bill rate is 6%. (Do not round intermediate calculations. Round your answer to 1 decimal place.)arrow_forwardSuppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 12% 40% B 21% 60% Correlation = −1 Required: a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be formed to create a “synthetic” risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than rate of return? multiple choice Yes Noarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENTFinanceISBN:9781337514835Author:MOYERPublisher:CENGAGE LEARNING - CONSIGNMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:9781337514835
Author:MOYER
Publisher:CENGAGE LEARNING - CONSIGNMENT
Investing For Beginners (Stock Market); Author: Daniel Pronk;https://www.youtube.com/watch?v=6Jkdpgc407M;License: Standard Youtube License