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- Suppose 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 9% 35% B 14% 65% 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?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? %Abnormal returns, if a stock has a(Alpha)=.004, b(Beta)=1.2, A. Using the market model (eq. 7.4), find the expected percent return if the market increases by 2%. B. If the actual return is 2%, 3%, or 4%, calculate the abnormal return.
- Compute the abnormal rates of return for the following stocks during period t (ignore differential systematic risk): Stock % % % % BFT % B F T UE Rit = return for stock i during period t Rmt = return for the aggregate market during period t Use a minus sign to enter negative values, if any. Round your answers to one decimal place. ARBE: ARF: ARTI: ARC: AREL: с Rit 11.5% 9.2 12.5 12.5 15.9 Rmt 4.7% 6.2 6.6 15.2 11.1b) Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 В 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.Suppose your expectations regarding the stock price are as follows: State of the Market Probability Ending Price HPR (includingdividends) Boom 0.30 $ 140 53.5 % Normal growth 0.28 110 17.5 Recession 0.42 80 −12.0 Use the equations E(r)=Σsp(s)r(s)E(r)=Σsp(s)r(s) and σ2=Σsp(s) [r(s)−E(r)]2σ2=Σsp(s) [r(s)−E(r)]2 to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
- Suppose 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 11 % 35 % B 20 % 65 % Correlation = –1 a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be substituted for the risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than 14.15%?multiple choice Yes No1. If a stock has a(Alpha)=0.002, b(Beta)=1.4, Using the market model (eq. 7.4), find the expected percent return for the above stock if the market return is expected to be 2% and the risk free rate is 1%. 2. Assume stock prices follow a random walk and a particular stock has had the following recent stock prices: Day 1: 129.5 Day 2: 126.9 Day 3: 127.1 what is the best estimate of day 4 prices?USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM Stock Rit Rmt ai Beta C 12 10 0 0.8 E 10 8 0 1.1 Rit = return for stock i during period t Rmt = return for the aggregate market during period t What is the abnormal rate of return for Stock C during period t using only the aggregate market return (ignore differential systematic risk)?
- You are given the following information: Stock Expected return (in %) σ (in %) A 10 10 B 5 5 The covariance between these returns is 16% ². The risk-free rate is 6%.Suppose your expectations regarding the stock price are as follows: HPR (including dividends) State of the Market Boom Normal growth Recession Probability Ending Price 0.35 0.30 0.35 Mean Standard deviation Use the equations E (r) = Ep (s) r(s) and o² = Ep (s) [r(s) – E(r)]² to compute the mean and standard deviation of the HPR S S on stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. do do $ 140 110 80 % 44.5% 14.0 -16.5 %Assume the expected return on the market is 7 percent and the risk-free rate is 4 percent. a. What is the expected return for a stock with a beta equal to 1.10? (Enter your answers in decimals. Do not enter percent values.) b. What is the market risk premium? (Enter your answers in decimals. Do not enter percent values.)