Consider the three stocks in the following table. P+ represents price at time t, and Qt represents shares outstanding at time t. Stock Csplits two-for-one in the last period.ABUАPo9555110Rate of returnlo100200200P110050120Rate of returnb. An equally weighted indexRequired:Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round Intermediate calculations. Roundyour answers to 2 decimal places.)a. A market value-weighted index960110020020096P₂100506092100200400

Market value weighted index:First period rate of return=( 44,000/42,500)-1 =…

Consider the three stocks in the following table. P+ represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two-for-one in the last period. ABU А Po 95 55 110 lo 100 200 200 Rate of return P1 100 50 120 b. An equally weighted index 01 100 200 200 Required: Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round Intermediate calculations. Round your answers to 2 decimal places.) a. A market value-weighted index 96 P₂ 100 50 60 92 100 200 400

Consider the three stocks in the following table. P+ represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two-for-one in the last period. ABU А Po 95 55 110 lo 100 200 200 Rate of return P1 100 50 120 b. An equally weighted index 01 100 200 200 Required: Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round Intermediate calculations. Round your answers to 2 decimal places.) a. A market value-weighted index 96 P₂ 100 50 60 92 100 200 400

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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.)
Consider the following Information: Stock Return if Market Return Is: Stock -12% 12% 12 14 C D Stock A B -12 -32 11 20 What is the beta of each of the stocks? (Leave no cells blank - be certain to enter "0" wherever required. Use decimals, not percents, in your calculations. A negative value should be indicated by a minus sign. Round your answers to 1 decimal place.) D E 22 15 Beta
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 following table, which gives a security analyst’s expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return Aggressive Stock Defensive Stock 5% -3 4% 24 36 9 a. What are the betas of the two stocks? (Do not round intermediate calculations. Round your answers to 2 decimal places.) b. What is the expected rate of return on each stock if the two scenarios for the market return are equally likely to be 5% or 24%? (Do not round intermediate calculations. Round your answers to 1 decimal place.) c. What hurdle rate should be used by the management of the aggressive firm for a project with the risk characteristics of the defensive firm’s stock if the two scenarios for the market return are equally likely? Also, assume a T-Bill rate of 4%. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Common Stock B Probability Return Probability Return 0.35 13% 0.25 −7% 0.30 17% 0.25 8% 0.35 21% 0.25 15% 0.25 23% (Click on the icon in order to copy its contents into a spreadsheet.) Question content area bottom Part 1 a. Given the information in the table, the expected rate of return for stock A is enter your response here%. (Round to two decimal places.)
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
pm.3
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…
9
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 C Po 82 42 84 Rate of return 00 100 Divisor 200 200 P1 87 37 94 01 100 200 200 % P2 87 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.) 370 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.) c. Calculate the rate of return of the price-weighted index for the second period (t=1 to t=2).
Use the following information on Stocks X and Y to answer questions 1 through 3 (round to the nearest percent). Bear Market Normal Market Bull Market Probability 0.2 0.5 0.3 Stock X’s return -25% 10% 50% Stock Y’s return -15% 20% 10% What are the standard deviations of returns on Stocks X and Y?

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