Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Chapter 5, Problem 9PS
Using the historical risk premiums as your guide, what is your estimate of the expected annual HPR on the market index stock portfolio if the current risk-free interest rate is 3%? (LO 5-3)
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Chapter 5 Solutions
Essentials Of Investments
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- Consider a three-factor APT model. The factors and associated risk premiums are: Factor Risk Premium (%) Change in gross national product (GNP) +6.9 Change in energy prices 0.4 Change in long-term interest rates +2.6 Calculate expected rates of return on the following stocks. The risk-free interest rate is 4.8%. A stock whose return is uncorrelated with all three factors. (Enter your answer as a percent rounded to 1 decimal place.) A stock with average exposure to each factor (i.e., with b = 1 for each). (Enter your answer as a percent rounded to 1 decimal place.) A pure-play energy stock with high exposure to the energy factor (b = 1.9) but zero exposure to the other two factors. (Enter your answer as a percent rounded to 2 decimal places.) An aluminum company stock with average sensitivity to changes in interest rates and GNP, but negative exposure of b = –1.9 to the energy factor. (The aluminum company is energy-intensive and suffers when energy prices…arrow_forwardWhat are the components of the risk-free rate and What is financial risk? If the standard deviation of a stock’s return is 5% and its expected return is 8%, what it the C.V.?arrow_forwardThe risk-free rate is 5.6%, the market risk premium is 8.5%, and the stock’s beta is 2.27. What is the required rate of return on the stock, E(Ri)? Use the CAPM equation.arrow_forward
- Using historical risk premiums from Table 5.5 over the 1927-2021 period as your guide, what would be your estimate of the expected annual HPR on the Big/Value portfolio if the current risk-free interest rate is 2.40%? \tablell, Market Index, Big/growth Big/ value, Small/growth.Small/value], [A.1927-2021.....1 [Mean excess return (annualized), 8.86, 8.79, 12.02, 9.60, 15.54], [Standard deviation (annualized), 18.52, 18.35, 24 83, 25.97, 28.23] [Sharpe ratio,048, 0.48,0.48, 0.37, 0.55], Iower partial SD (annualzed ) 19.62, 18.85, 23.61, 25.86, 26.33], [Skew, 0.17, 0.11, 1:50, 0.59, 2.06] [Kurtosis, 7.61, 5.47, 17.58,7.10, 21.60], [VaR (1%) actual ( monthly) returns.-13.58,14.40, 1993, 20.10,20.68], [VaR(1) normal distribution. -11.75,-11.64,15.75-1669-17.78], (% of monthly retums more than 3,... [SD below mean 0.88% 0.79% 0.88%,0.79% 0.62%arrow_forwardHow 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_forwardQ21. Suppose your expectations regarding the stock price are as follows: Time Return 1 0.10 2 -0.15 3 0.20 4 0.15 5 -0.20 6 0.30 7 -0.10 a. Calculate the excess return assuming that the risk-free rate is 5%. b. Calculate the risk premium. c. Calculate the Sharpe ratio. d. Calculate the risk adjusted return.arrow_forward
- You have observed the following returns over time: Assume that the risk-free rate is 6% and the market risk premium is 5%. What are the betas of Stocks X and Y? What are the required rates of return on Stocks X and Y? What is the required rate of return on a portfolio consisting of 80% of Stock X and 20% of Stock Y?arrow_forward(d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates ofreturn of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.arrow_forwardb) You are given the following information about Stock X and the market: The annual effective risk-frec rate is 5%. The expected return and volatility for Stock X and the market are shown in the table below: Expected Return Volatility Stock X 5% 40% Market 8% 25% The correlation between the returns of stock X and the market is -0.25. Assume the Capital Asset Pricing Model holds. Calculate the required return for Stock X and determine if the investor should invest in Stock X.arrow_forward
- Consider the following simplified APT model: Factor Market Expected Risk Premium (%) Interest rate Yield spread 6.2 -0.8 4.8 Factor Risk Exposures Market ( Interest Rate ( Yield Spread ( Stock b₁ ) P 1.0 p2 1.0 p3 0.3 b2 ) -1.4 0 2.1 b3 ) -0.6 0.1 0.6 = : 3.8%. Calculate the expected return for each of the stocks shown in the table above. Assume rf Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Expected return P 7.80% Expected return P2 10.38% Expected return P3 %arrow_forward(d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates of return of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.arrow_forwardYou are trying to figure out the risk-free rate estimate. Here is information about a stock's CAPM return: The beta is 0.9 The market risk premium is 5.2% The stock's return is 10% Given this information, what is the estimate for the risk-free rate? Answer:arrow_forward
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