1. 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. ABC PO 81 41 82 Q0 100 200 200 P1 86 36 92 Q1 100 200 200 P2 86 36 46 02 100 200 400 a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t=0 to t = 1). b. What will be the divisor for the price-weighted index in year 2? c. Calculate the rate of return of the price-weighted index for the second period (t = 1 to t = 2). d. Calculate the return on a value-weighted index of the three stocks for the first period (t = 0 to t = 1).

1. 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. ABC PO 81 41 82 Q0 100 200 200 P1 86 36 92 Q1 100 200 200 P2 86 36 46 02 100 200 400 a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t=0 to t = 1). b. What will be the divisor for the price-weighted index in year 2? c. Calculate the rate of return of the price-weighted index for the second period (t = 1 to t = 2). d. Calculate the return on a value-weighted index of the three stocks for the first period (t = 0 to t = 1).

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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What is the expected return of Stock A given the information below about its returns across future states of nature? Enter return in decimal form, rounded to 4th digit, as in "0.1234
A stock has had the following year-end prices and dividends: Year 1 Price Dividend $ 43.41 2 48.39 $0.66 3 57.31 0.69 4 45.39 0.80 5 52.31 0.85 6 61.39 0.93 What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations. Round the final answers to 2 decimal places.)
A stock has had the following year-end prices and dividends: TIT Year Price Dividend $16.25 1 18.43 $ .15 2 19.43 .30 3 17.93 .33 4 20.27 .34 23.38 .40 What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) Arithmetic return |% Geometric return
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.
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.
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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).
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. ABC Po 86 46 92 le 100 200 200 Rate of return P1 91 41 102 Q1 100 1.89 % 200 200 P2 91 41 51 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.) 22 100 200 400

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