Risk Premium (S7.1) Suppose that in year 2030, investors become much more willing than before to bear risk. As a result, they require a return of 8% to invest in common stocks rather than the 10% that they had required in the past. This shift in risk aversion causes a 15% change in the value of the market portfolio. a. Do stock prices rise by 15% or fall? b. If you now use past returns to estimate the expected risk premium, will the inclusion of data for 2030 cause you to underestimate or overestimate the return that investors required in the past? c. Will the inclusion of data for 2030 cause you to underestimate or overestimate the return that investors require in the futur?

Risk Premium (S7.1) Suppose that in year 2030, investors become much more willing than before to bear risk. As a result, they require a return of 8% to invest in common stocks rather than the 10% that they had required in the past. This shift in risk aversion causes a 15% change in the value of the market portfolio. a. Do stock prices rise by 15% or fall? b. If you now use past returns to estimate the expected risk premium, will the inclusion of data for 2030 cause you to underestimate or overestimate the return that investors required in the past? c. Will the inclusion of data for 2030 cause you to underestimate or overestimate the return that investors require in the futur?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider the following multifactor (APT) model of security returns for a particular stock. Factor Risk Premium 7% Factor Inflation Industrial production Oil prices Factor Beta 1.4 0.9 0.6 Required: a. If T-bills currently offer a 4% yield, find the expected rate of return on this stock if the market views the stock as fairly priced. b. Suppose that the market expects the values for the three macro factors given in column 1 below, but that the actual values turn out as given in column 2. Calculate the revised expectations for the rate of return on the stock once the "surprises” become known. Expected Value 5 6% 5 3 Actual Value 4% 7 0 Factor Inflation Industrial production Oil prices Note: For all requirements, do not round intermediate calculations. Round your answers to 1 decimal place. X Answer is complete but not entirely correct. a. Expected rate of return 24.9 % b. Expected rate of return 9.6 X %
Question 2: Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Draw the security market line (SML) Use the CAPM to calculate the required return, on asset A. Assume that as a result of recent economic events, inflationary expectations have declined by 3%, lowering RF and RM to 5% and 9%, respectively. Draw the new SML on the axes in part a, and calculate and show the new required return for asset A. Step 1 Security market line (SML) is a graphical representation of how the approach of the capital asset pricing model (CAPM) operates. SML represents the combination of risk-free return, market return, and beta to depict the expected return of the security. CAPM is a financial approach that helps to determine the expected return of security by creating a relationship between the systematic risk associated with the security and returns of assets. Expected return on a stock is the…
You are trying to plan your investments for the next year. You have decided that the market will either be strong (a bull market), weak (a bear market) or normal. You think that stocks, bonds, and bills will earn the following returns in these scenarios: Scenario Bull market Normal market Bear market Probability 0.20 0.55 0.25 Stock Bond Return Return 0.25 0.10 -0.15 0.06 0.04 -0.02 Bill Return 0.03 0.03 0.03 You have also decided that you have a risk-aversion (A) of 4. (a) What is the expected return for each of the securities? (b) What is the volatility of each security return? (c) What is the covariance between stock and bond returns? (d) If you combine stocks and bills as an investment, what is your op- timal combination? What is your expected return? What is your portfolio's volatility? (e) If you combine bonds and bills, what is your optimal combination? What is your expected return? What is your portfolio's volatility? (f) If you combine stocks and bonds, what is your optimal…
Assume that the CAPM is a good description of stock price returns. The market expected return is 7% with 10% volatility and the risk-free rate is 3%. New news arrives that does not change any of these numbers but it does change the expected return of the following stocks: - a. Calculate the alpha for each stock in the table. b. At current market prices, which stocks represent buying opportunities? On which stocks should you put a sell order in? a. Calculate the alpha for each stock in the table. Complete the table with the alphas below: (Round to two decimal places.) Green Leaf Expected Return Volatility 12% 20% Beta Alpha 1.50 %% Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Expected Return Volatility Beta Green Leaf 12% 20% 1.50 NatSam 10% 40% 1.80 HanBel 9% 30% 0.75 Rebecca Automobile 6% 35% 1.20 - X
Consider the following information in Figure 1 below for a portfolio including security A and security B: Figure 1 State of the economy Probability of state of economy Return on A (%) Return on B (%) Boom 0.2 15 5 Growth 0.2 -5 0 Normal 0.5 10 10 Recession 0.1 5 20 If you want to include one more security C into the above portfolio. (e.g., a new portfolio including securities A, B, and C), what is the new portfolio variance if you invest 40% of C and 60% of the old portfolio including A and B (50% weights for A and B)? Assume the standard deviation of C is 10%, and correlation coefficient between the old portfolio and C is 0.8.
Using the CAPM theory, if the Volatility of a stock is twice as great as the market, the market return on stocks in general (using the S&P 500 as a proxy) is 12 %, and treasury bills are yielding 2%, what is the return that investors in that security can expect? C r = Rf + beta x (Km - Rf) where r is the expected (required) return rate on a security (based on how risky it is); Rf is the rate of a "risk-free" investment, i.e. cash; Km is the return rate of the appropriate asset class (Market Return) Beta measures the volatility of the security, relative to the asset class. 12% 16% 22% Capital Assets Pricing Model 20%
A stock has not been fluctuating much in price. Its average price is $20/share. You expect that the stock price behaves the same way in the next year. A one-year put option is selling for $5, which has an exercise price of $20. Suppose the risk-free rate is 0.05. To make use of your expectation in the future price movement, you establish a straddle strategy to maximize your profits. If the stock price actually ends up at $20 in a year, your profit is $ . Give your answer to 2 decimal places.
1. Suppose your expectations regarding the stock market are as follows: State of the Probability HPR Economy Boom 0.3 33% Normal growth 0.3 19 Recession 0.4 -15 a. What is the expected return, variance and standard deviation? 2. Assume that you manage a risky portfolio with an expected rate of return of 13% and a standard deviation of 29%. The T-bill rate is 5%. Your client chooses to invest 75% of a portfolio in your fund and 25% in a T-bill money market fund. a. What is the expected return and standard deviation of your client's portfolio? b. What is the reward-to-volatility ratio (S) of your risky portfolio and your client's overall portfolio? Explain the sharp ratio.
Suppose that during the coming year, the risk free rate, rRF, is expected to remain the same, while the market risk premium (rM − rRF), is expected to fall. Given this forecast, which of the following statements is CORRECT? a. The required return on all stocks will remain unchanged. b. The required return will fall for all stocks, but it will fall more for stocks with higher betas. c. The required return for all stocks will fall by the same amount. d. The required return will fall for all stocks, but it will fall less for stocks with higher betas. e. The required return will increase for stocks with a beta less than 1.0 and will decrease for stocks with a beta greater than 1.0.
Suppose that the Treasury bill rate is 6% rather than 3%, as we assumed in Table 12.1, and the expected return on the market is 9%. Use the betas in that table to answer the following questions. a. When you assume this higher risk-free interest rate, what makes sense for how you should modify your assumption about the rate of return on the market portfolio? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.) b. Recalculate the expected return on the stocks in Table 12.1. (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.) c. Suppose now that you continued to assume that the expected return on the market remained at 9%. Now what would be the expected returns on each stock? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.)d. Ford offer a higher or lower expected return if the interest rate is 6% rather than 3%? e. Walmart offer a higher or…
Assume Merck (MRK) just finished paying an annual dividend of $2.1 (for 2019). You look up their beta and it equals 0.34 , implying it's much less risky than the market portfolio. The current risk free rate equals 1.96 %. Assume a market risk premium of 9.9 %. Merck's current stock price is $79. Assuming investors expect Merck to grow at a constant rate in perpetuity, what is that growth rate expectation? (write this number as a decimal and not as a percentage, e.g. 0.11 not 11%. Round your answer to three decimal places. For example 1.23450 or 1.23463 will be rounded to 1.235 while 1.23448 will be rounded to 1.234)
d. Consider a well-diversified portfolio made up of stocks with the same beta as Intel. What are the beta and standard deviation of this portfolio’s return? The standard deviation of the market portfolio’s return is 20%. e. What is the expected rate of return on each stock? Use the capital asset pricing model with a market risk premium of 8%. The risk-free rate of interest is 4%.

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