Given the following for Stocki: PO 45.50 0.80 0.0300 E(rM) 0.1200 Bi rf News suddenly comes out that increases the perceived risk of the stock to Bi= 1.3 You still expect the stock to be worth the price you calculated above, however, to what price should the stock drop reflecting the new expectation for risk? 43.71 41.14 39.17 37.62 33.22
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- Market equity beta measures the covariability of a firms returns with all shares traded on the market (in excess of the risk-free interest rate). We refer to the degree of covariability as systematic risk. The market prices securities so that the expected returns should compensate the investor for the systematic risk of a particular stock. Stocks carrying a market equity beta of 1.20 should generate a higher return than stocks carrying a market equity beta of 0.90. Nonsystematic risk is any source of risk that does not affect the covariability of a firms returns with the market. Some writers refer to nonsystematic risk as firm-specific risk. Why is the characterization of nonsystematic risk as firm-specific risk a misnomer?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)?Consider the following information about Stocks X and Y: State of Economy Probability of State Stock X Returns Stock Y Returns Recession 0.15 0.11 -0.25 Steady 0.55 0.18 0.11 Boom 0.30 0.08 0.31 The market risk premium is 7.5 percent, and the risk-free rate is 4 percent. Which stock has the most systematic risk? Which one has the most unsystematic risk? Which stock is “riskier”? Explain.
- What is the reward-to-risk ratio for Stock X, in decimal form? Round your answer to 4 decimal places (example: if your answer is .03579, you should enter .0358). Margin of error for correct responses: +/- .0005. expected return (implied by market price) Beta Stock X 9.6% 1.55 S&P500 12% ? T-bills 4% ?An antitrust case has lead to you having to calculate a fair return (using the CAPM) for RadioEthiopea common stock. The market has a volatility of 18.00%, while the shares have a volatility of 33.00%. The correlation between the two sets of returns is -0.10. The risk free rate is 1.90%, while the expected return on the market is 4.30%. What is the fair return for RadioEthiopea common stock? 1.11% 1.77% 1.46% 1.66%Assume you know the expected and required rate of returns of the following stocks. Explainwhich of the following stocks are undervalued, overvalued and fairly valued. Stock Expected rate of return Required rate of return Evaluation X 10 12 ? Y 6 5 ? Z 4 4 ?
- 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.)A stock has an expected return of 14% based on its performance. Under the APT, given its risk exposure, the fair expected return is 18%. What would an arbitrageur trade in this situation? a. Buy the stock as price is too low. Buying increases price, reducing return. b. Buy the stock as price is too low. Buying increases price, increasing return. c. Do nothing - without risk free rate cannot tell. d. Short the stock as the price is too high. Selling reduces price, increasing returnYou are using the CAPM to calculate a fair return for Stardust common stock. The shares have a volatility of 36.00%, while the market has a volatility of 19.00%. The correlation between the two sets of returns is 0.30. The risk free rate is 1.00%, while the expected return on the market is 3.90%. What is the fair return for Stardust common stock?
- Suppose that the market can be described by the following three sources of systematic risk with associated risk premiums. Factor Risk Premium Industrial production (I) 8 % Interest rates (R) 4 % Consumer confidence (C) 6 % The return on a particular stock is generated according to the following equation: r = 16% + 1.6I + 0.8R + 1.30C + e a-1. Find the equilibrium rate of return on this stock using the APT. The T-bill rate is 4%. (Do not round intermediate calculations. Round your answer to 1 decimal place.) a-2. Is the stock over- or underpriced?Suppose 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.)Which of the following stocks is a better buy? What is the difference between expected return and required return for the best stock? Scenario Probability Stock A Stock B Market Risk-free rate Bust 0.25 -0.15 -0.05 Normal 0.55 0.2 0.1 Boom 0.2 0.4 0.3 Beta 1.2 0.9 Expected return 0.13 0.05