Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstan splits two-for-one in the last period. A B C Po 82 42 84 Rate of return 00 100 200 200 Divisor P1 87 37 94 01 100 200 200 Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t=0 to t= 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) % P2 87 37 47 92 100 200 400 b. What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Consider the following table, which gives a security analyst’s expected return on two stocks and the market index in two scenarios:  Scenario Probability Market Return Aggressive Stock Defensive Stock 1 0.5 6% 2.6% 4.4% 2 0.5 16 27 14   Required: a. What are the betas of the two stocks? (Round your answers to 2 decimal places.)   b. What is the expected rate of return on each stock? (Round your answers to 2 decimal places.)   c. If the T-bill rate is 7%, what are the alphas of the two stocks? (Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.)

The index model has been estimated using historical excess return data for stocks A, B, and C, with the following results: RA = 0.02 + 0.9RM + eA RB = 0.04 + 1.2RM + eB RC = 0.10 + 1.ORM + eC OM oM = 0.22 o(eA) = 0.21 o(eB ) = 0.11 o(eC ) = 0.23 a. What are the standard deviations of stocks A, B, and C? b. Break down the variances of stocks A, B, and C into their systematic and firm-specific components. c. What is the covariance between the returns on each pair of stocks? d. What is the covariance between each stock and the market index?

What is the required rate of return on a preferred stock with a $50 par value, a stated annual dividend of 9% of par, and a current market price of (a) $31, (b) $40, (c) $52, and (d) $74 (assume the market is in equilibrium with the required return equal to the expected return)? Do not round intermediate calculations. Round the answers to two decimal places.

Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two-for-one in the last period. A B с Po 81 41 82 Rate of return 20 100 200 200 Divisor P1₁ 86 36 92 21 100 200 200 Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t= 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) % P2 86 36 46 Q2 100 200 400 b. What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Data: So 101; X= 114; 1+r= 1.12. The two possibilities for sr are 143 and 85.

b) 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.

Consider the three stocks in the following table. P(t) represents price at time t, and Q(t) represents shares outstanding at time t. Stock C splits two-for-one in the last period. What is the new divisor for the price-weighted index that is formed using Stocks A, B, and C if the starting divisor is 3? B 2.475 2.340 2.455 2.375 P(1) 95 45 100 Q(1) 100 200 200 P(2) 95 45 50 Q(2) 100 200 400

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Ο A stock has a required return of 16%, the risk-free rate is 5.5%, and the market risk premium is 4%. a. What is the stock's beta? Round your answer to two decimal places. b. If the market risk premium increased to 7%, what would happen to the stock's required rate of return? Assume that the risk-free rate and the beta remain unchanged. Do not round intermediate calculations. Round your answer to two decimal places. I. If the stock's beta is greater than 1.0, then the change in required rate of return will be greater than the change in the market risk premium. II. If the stock's beta is less than 1.0, then the change in required rate of return will be greater than the change in the market risk premium. III. If the stock's beta is greater than 1.0, then the change in required rate of return will be less than the change in the market risk premium. IV. If the stock's beta is equal to 1.0, then the change in required rate of return will be greater than the change in the market risk…