Foundations of Finance (9th Edition) (Pearson Series in Finance)
9th Edition
ISBN: 9780134083285
Author: Arthur J. Keown, John D. Martin, J. William Petty
Publisher: PEARSON
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Chapter 6, Problem 15SP
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Suppose you are given the following inputs for the Fama-Frech-3-Factor model. Required Return for Stock i: bi=0.8, kRF=8%, the market risk premium is 6%, ci=-0.6, the expected value for the size factor is 5%, di=-0.4, and the expected value for the book-to-market factor is 4%.
Task: Estimate the required rate of return of this asset using the Capital asset pricing model and compare it with the Fama-French-3-factor model.
Assume for parts (a) to (h) that the Capital Asset Pricing Model holds. The marketportfolio has an expected return of 5%. Stock A’s return has a market beta of 1.5, anexpected value of 7% and a standard deviation of 10%. Stock B’s return has amarket beta of 0.5 and a standard deviation of 20%. The correlation between stockA’s and stock B’s return is 0.5.Required:a) Explain the term ‘capital asset pricing model.’b) What is the risk-free rate?c) What is the expected return on stock B?d) Draw a graph with expected return on the y-axis and beta on the x-axis. Indicate the approximate position of the risk-free asset, the market portfolio and stocks A and B on this graph. Draw the line, which connects these four points.e) Explain the term ‘Securities Market Line’, and what is the slope of the SML for this economy?f) Consider a portfolio with a weight of 50% in stock A and 50% in stock B. What are its variance and expected return?g) Where would under-priced and over-priced securities plot on…
Consider an economy where Capital Asset Pricing Model holds. In this economy,
stocks A and B have the following characteristics:
Stock A has and expected return of 22% and a beta of 2.
Stock B has an expected return of 15% and a beta of 0.8.
The standard deviation of the market portfolio’s return is 18%.
Q: Assuming that stocks A and B are correctly priced according to the CAPM, compute the risk-free rate and the market risk premium.
Chapter 6 Solutions
Foundations of Finance (9th Edition) (Pearson Series in Finance)
Ch. 6 - a. What is meant by the investors required rate of...Ch. 6 - Prob. 2RQCh. 6 - What is a beta? How is it used to calculate r, the...Ch. 6 - Prob. 4RQCh. 6 - Prob. 5RQCh. 6 - Prob. 6RQCh. 6 - Prob. 7RQCh. 6 - What effect will diversifying your portfolio have...Ch. 6 - (Expected return and risk) Universal Corporation...Ch. 6 - (Average expected return and risk) Given the...
Ch. 6 - (Expected rate of return and risk) Carter, Inc. is...Ch. 6 - (Expected rate of return and risk) Summerville,...Ch. 6 - Prob. 5SPCh. 6 - Prob. 9SPCh. 6 - Prob. 10SPCh. 6 - Prob. 11SPCh. 6 - Prob. 12SPCh. 6 - (Capital asset pricing model) Using the CAPM,...Ch. 6 - Prob. 16SPCh. 6 - Prob. 17SPCh. 6 - a. Compute an appropriate rate of return for Intel...Ch. 6 - (Estimating beta) From the graph in the right...Ch. 6 - Prob. 20SPCh. 6 - Prob. 21SPCh. 6 - (Capital asset pricing model) The expected return...Ch. 6 - (Portfolio beta and security market line) You own...Ch. 6 - (Portfolio beta) Assume you have the following...Ch. 6 - Prob. 1MCCh. 6 - Prob. 2MCCh. 6 - Prob. 3MCCh. 6 - Prob. 4MCCh. 6 - Prob. 5MCCh. 6 - Prob. 6MCCh. 6 - Prob. 7MCCh. 6 - Prob. 8MCCh. 6 - Prob. 9MCCh. 6 - Prob. 10MCCh. 6 - Prob. 11MC
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- An analyst has modeled the stock of a company using the Fama-French three-factor model. The market return is 10%, the return on the SMB portfolio (rSMB) is 3.2%, and the return on the HML portfolio (rHML) is 4.8%. If ai = 0, bi = 1.2, ci = 20.4, and di = 1.3, what is the stock’s predicted return?arrow_forwardThe risk-free rate is 1.45% and the market risk premium is 5.21%According to the Capital Asset Pricing Model (CAPM ), a stock with a beta of 1.13 will have an expected return of %.arrow_forwardSuppose the risk-free rate is 6 percent and the market portfolio has an expected return of 12 percent. The market portfolio has a standard deviation of 7 percent. Portfolio Z has a correlation coefficient with the market of 0.35 and standard deviation of 6 percent. According to the capital asset pricing model, what is the expected return on portfolio Z a. 12.6 percent b. 7.8 percent c. 9.87 percent d. 12.05 percentarrow_forward
- . Assume that the Capital Asset Pricing Model holds. The market portfolio has an expected return of 5%. Stock A’s return has a market beta of 1.5, an expected value of 7% and a standard deviation of 10%. Stock B’s return has a market beta of 0.5 and a standard deviation of 20%. The correlation coefficient between stock A’s and stock B’s returns is 0.5. What is the risk-free rate? What is the expected return on stock B?arrow_forwardConsider 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_forwardConsider an economy where Capital Asset Pricing Model holds. In this economy, stocks A and B have the following characteristics: • Stock A has and expected return of 22% and a beta of 2. • Stock B has an expected return of 15% and a beta of 0.8. The standard deviation of the market portfolio’s return is 18%. (a) Assuming that stocks A and B are correctly priced according to the CAPM, compute the risk-free rate and the market risk premium. (b) Draw the security market line, showing the positions of stocks A and B, as well as the risk-free rate and the market portfolio on the plot. You are not required to draw the security market line to scale. (c) Consider stock C that has an expected return of 30%, a beta of 2.3, and a standard deviation of returns of 20%. According to the CAPM, calculated in part (a) above, is stock C overpriced, underpriced, or correctly priced? What would you recommend to investors? (d) Briefly explain the definition of market portfolio in a CAPM economyarrow_forward
- The Treasury bill rate is 4.9%, and the expected return on the market portfolio is 11.1%. Use the capital asset pricing model. What is the risk premium on the market? (Enter your answer as a percent rounded to 1 decimal place.) What is the required return on an investment with a beta of 1.2? (Enter your answer as a percent rounded to 2 decimal places.) If an investment with a beta of 0.46 offers an expected return of 8.7%, does it have a positive NPV? If the market expects a return of 12.2% from stock X, what is its beta? (Round your answer to 2 decimal places.)arrow_forwardUse the basic equation for the capital asset pricing model (CAPM) to work each of the following problems. a. Find the required return for an asset with a beta of 1.65 when the risk-free rate and market return are 8% and 14%, respectively. b. Find the risk-free rate for a firm with a required return of 11.366% and a beta of 1.29 when the market return is 10%. c. Find the market return for an asset with a required return of 7.711% and a beta of 0.89 when the risk-free rate is 4%. d. Find the beta for an asset with a required return of 6.552% when the risk-free rate and market return are 6% and 8.4%, respectively.arrow_forwardAssume that the Collins Company has a beta of 1.8 and that the risk-free rate of return is 2.5 percent. If the equity-risk premium is six percent, calculate the cost of equity for the Collins Company using the capital asset pricing model.arrow_forward
- For each of the cases shown in the following table, use the capital asset pricing model to find the required return. case risk free rate market return beta A 5% 8% 1.30 B 8% 13% 0.90 C 9% 12% -0.20 D 10% 15% 1.00 E 6% 10% 0.60 (solve using excel)arrow_forwardWhat is required return using the capital asset pricing model if a stock's beta is 1.2 and the individual, who expects the market to rise by 11.2%, can earn 4.4% invested in a risk-free Treasury Bill?arrow_forwardThe data on the expected return of 2 stocks (M and C) along with the economic conditions and their probabilities is attached below Questions : Calculate the expected return for asset M and asset C. Calculate the standard deviation for asset M and asset C. c) If asset M is a market portfolio, while the beta (β) for asset C is 1.25 and the risk-free asset is 6%. What is the required rate of return for asset C according to the CAPM method ?. .arrow_forward
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