Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession E (r) = Σ=1P(s)r(s) Var (r) = 6² SD (r) = o = √Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations Round your answers to 2 decimal places.) Probability 0.3 0.4 0.3 Es=1 P (s)[r (s)- E (r)]² HPR 44% 14 -16
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- 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?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.)Now assume that the stock is currently selling at $30.29. What is its expected rate of return?
- Consider the following information: \table[[State of,Probability of,\table[[Rate of Return],[if State Occurs]]],[,],[\table[[State of],[Economy]],Stock A,Stock B],[Recession,0.20,0.05,-0.20],[Normal,0.40,0.10,0.10],[Boom,0.40,0.13,0.25]] a. Calculate the expected return for the two stocks. (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) \table[[,,],[Expected return for A,,%suppose your expectations regarding the stock market are as follows: State of the Economy Probability HPR Boom 0.2 42% Normal growth 0.6 23 Recession 0.2-17 E(r) = Σss = 1p(s)r( s) Var(r)=\sigma 2 = Σss = 1p(s)[r(s)-E(r)]2 SD (r)=\sigma = Var(r) ✓ Required: Use above equations 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 we have this information about the current market return and the risk-free return: • The market return is 12%, the risk free return is 8%, and the ẞ is 1.4. Calculate the cost of equity.
- A challenge we run into when forecasting future stock returns is that stock returns compound. So, when using historical averages to forecast the future, we need to average together the arithmetic and geometric average returns using Blume's Formula: R(T) = T GeoAvg + NT Arith Avg N-1 In this formula, N is the number of historical annual returns you are using to calculate your averages and T is the number of future annual returns you are forecasting. Suppose you gather the following prices for a stock in order to calculate the last 10 (N = 10) annual returns. The stock does not pay dividends. Time 0 1 Time 0 calculate the last 10 (N=10) annual returns. The stock does not pay dividends. 1 2 3 4 5 10 6 . 7 8 9 10 Price $23.16 $32.81 Price $23.16 $32.81 $33.63 $36.83 $41.95 $41.04 $33.83 $37.45 $30.56 $29.90 $47.93 Using Blume's formula, what is the expected return per year for the next 4 years (T = 4)? Enter your answer as a percentage, rounded to the nearest 0.0001. For example, for…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?Suppose your expectations regarding the stock price are as follows: State of the Market Boom Normal growth Recession Probability Ending Price 0.26 $ 140 0.25 110 0.49 80 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 on - S S Mean Standard deviation HPR (including dividends) 55.0% 21.0 -16.0 stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. % %
- Suppose your expectations regarding the stock market are as follows: State of the Economy Boom Normal growth Recession E(r) p(s)r(s) = Probability HPR 0.4 43% 0.5 23 0.1 -16 Var (r) = P(s)[r(s) - E(r)]² = SD (r) ==√√Var (r) Required: Use above equations to compute the mean and standard deviation of the HPR on stocks. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Mean Standard deviation % %Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .Consider the following information about the various states of the economy and the returns of various investment alternatives for each scenario. Answer the questions that follow. Question 1 Fill in the parts in the above table that are empty. Using the data generated in the previous question (Question 1); Plot the Security Market Line (SML) 2. Superimpose the CAPM’s required return on the SML % Return on T-Bills, Stocks, and Market Index State of the Economy Probability T- Bills Phillips Pay- up Rubber- made Market Index Recession 0.2 7 -22 28 10 -13 Below Average 0.1 7 -2 14.7 -10 1 Average 0.3 7 20 0 7 15 Above Average 0.3 7 35 -10 45 29 Boom 0.1 7 50 -20 30 43 Mean Standard Deviation Coefficient of Variation Covariance with MP…