A researcher obtained the following results for a stock price: Pt = 0,999Pt-1 + εt with R2=0,99 and εt is white noise. According to the above estimation, is the market for the specific stock efficient?
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12.
• A researcher obtained the following results for a stock price: Pt = 0,999Pt-1 + εt with R2=0,99 and εt is white noise. According to the above estimation, is the market for the specific stock efficient?
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Solved in 3 steps
- 2. Suppose that three stocks (A, B, and C) and two common systematic risk factors (1 and 2) have the following relationship: E(RA) = (0.80) F1 + (0.90) F2 E(RB)= (-0.20) F1 + (1.30) F2 E(RC)= (1.80) F1 + (0.50) F2 a. Compute the expected returns if F1 = 4% and F2 = 5% b. Assuming that all three stocks are currently priced at $35 and will not pay a dividend over the next year, compute the expected prices a year from now c. Now, suppose you "know" that in one year the actual prices of stocks A, B, and C will be $37.20, $37.80, and $38.50. How can you best take advantage of what you consider to be a market mispricing? d. How will the current prices adjust?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)?1.Which of the following is assumed by the Black-Scholes-Merton model? A.The return from the stock in a short period of time is lognormal B.The stock price at a future time is lognormal C.The stock price at a future time is normal D.None of the above
- Consider an event study of the following stock. Realised return Market return t = 0 (event day) 0.1 0.1 t =1 0.06 0.04 t = 2 0.03 0.02 t = 3 0.015 0.01 Suppose that the estimated market model is . What is the CAR (cumulative abnormal returns) for t = 3?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 that the index model for stocks A and B is estimated from excess returns with the following results:RA = 3% + .7RM + eARB = −2% + 1.2RM + eBσM = 20%; R-squareA = .20; R-squareB = .12What is the covariance between each stock and the market index?
- When working with the CAPM, which of the following factors can be determined with the most precision? a. The beta coefficient of "the market," which is the same as the beta of an average stock. b. The beta coefficient, bi, of a relatively safe stock. c. The market risk premium (RPM). d. The most appropriate risk-free rate, rRF. e. The expected rate of return on the market, rM.A stock has a correlation with the market of 0.4. If the Sharpe ratio of the market portfolio is 0.7, what is the Sharpe ratio of the stock? (Hint: algebraically manipulate the SML equation.) 0.28 0.75C. 0.60D. 0.55Q1: Explain the meaning and significance of a stock's beta coefficient. Illustrate your explanation by drawing, on one graph, the characteristic lines for stocks with low, average, and high risk. (Hint: Let your three characteristic lines intersect at r_i=r_m=6%, the assumed risk-free rate.) Q2: Define the following terms, using graphs or equations to illustrate your answers where feasible. a) Risk, stand-alone risk b) Expected rate of return c) standard deviation, variance d) risk premium for stock i, market risk premium e) Capital Asset Pricing Model (CAPM) f) Expected return on a portfolio g) market risk, diversifiable risk h) Beta i) Security Market Line; SML equation j) Slope of SML and its relationship to risk aversion. Q3. Differentiate between (a) stand-alone risk and (b) risk in a portfolio context. How are they measured, and are both concepts relevant for investors? Q4. Can an investor eliminate market risk from a portfolio of common stocks? How many stocks must a portfolio…
- When working with the CAPM, which of the following factors can be determined with the most precision? a. The most appropriate risk-free rate, rRF. b. The market risk premium (RPM). c. The beta coefficient, bi, of a relatively safe stock. d. The expected rate of return on the market, rM. e. The beta coefficient of "the market," which is the same as the beta of an average stock.1. Calculate the Expected Return, Standard Deviation, and Beta for each stock. 2. Which stock has more systematic risk and which one has more unsystematic risk? Which stock is "riskier"? Explain your answer completely. Use excel to show formulas and calculations(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.