1. Consider the three stocks in the following table. P, represents price at time t, and Q, represents shares outstanding at time t. Calculate the rates of return on the following indexes of the three stocks: A B C Po 90 50 100 a. A market-value-weighted index. b. An equally weighted index. Qo 100 200 200 P₁ 95 45 110 Q₁ 100 200 200

1. Consider the three stocks in the following table. P, represents price at time t, and Q, represents shares outstanding at time t. Calculate the rates of return on the following indexes of the three stocks: A B C Po 90 50 100 a. A market-value-weighted index. b. An equally weighted index. Qo 100 200 200 P₁ 95 45 110 Q₁ 100 200 200

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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Assume that the financial markets are in equilibrium. Information on three particular shares is provided in the table below. Find the risk free rate and the expected return on the market portfolio. Asset A B C A. 6%, 18% B. 6%, 14% C. 5%, 18% D. 7%, 16% E. 5%, 14% Expected Return 7.6% 12.4% 15.6% Beta 0.2 0.8 1.2
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 a market value-weighted index consisting of 3 stocks: A, B, and C. The stocks' prices at time 0 (p0) and time 1 (p1) are given below, along with the number of shares outstanding. Calculate the index levels at time 0. Round your answer to 4 decimal places. For example, if your answer is 3.205%, then please write down 0.0321. stock p0 p1 outstanding shares 43 45 200 69 50 500 11 12 600 A B C
There are three stocks in a price-weighted index: A $100 B $20 C $60 a. What is the average value for the index? b. Assume stock A goes down by 25 percent and stock B goes up by 25 percent, and stock C remains the same. What is the new average value for the index? c. Explain why in part b the average changed with two stocks moving up and down by the same percentage amount.
Consider the following table, which gives a security analyst's expected return on two stocks for two particular market returns: Market Return 68 20 Aggressive Stock 2.0% 32 Defensive Stock 5.0% 15 a. What are the betas of the two stocks? (Round your answers to 2 decimal places.) Beta A Beta D b. What is the expected rate of return on each stock if the market return is equally likely to be 6% or 20% ? (Round your answers to 2 decimal places.) Rate of return on A Rate of return on D
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.)
In the CAPM world, if Sharpe ratio of the market portfolio is 1.25 and the correlation coefficient between stock i and the market portfolio is 0.60, what is the stock i's Sharpe ratio? → (1) 0.25; (2) 0.45; (3) 0.50; (4) 0.75; (5) 0.80; (6) 1.00; (7) 1.25; 8 (8) 1.50; (9) 1.75; (10) 2.05;
pm.3
can you do the question b please
You have estimated the following probability distributions of expected future returns for Stocks X and Y: Stock X Stock Y Probability Return Probability Return 0.1 -12 % 0.2 4 % 0.1 11 0.2 7 0.3 14 0.3 11 0.3 30 0.2 17 0.2 40 0.1 30 What is the expected rate of return for Stock X? Stock Y? Round your answers to one decimal place.Stock X: % Stock Y: % What is the standard deviation of expected returns for Stock X? For Stock Y? Round your answers to two decimal places.Stock X: % Stock Y: % Which stock would you consider to be riskier? is riskier because it has a standard deviation of returns.
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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