1. You are given the following information regarding prices for a sample of stocks.PRICEStockNumber of SharesT+1A1,000,000608010,000,000203530,000,0001825Chapter 4: Security Market Indexes and Index Funds 117a. Construct a price-weighted index for these three stocks, and compute the percentagechange in the index for the period from T to T + 1.b. Construct a value-weighted index for these three stocks, and compute the percentagechange in the index for the period from T to T + 1.e. Briefly discuss the difference in the results for the twu indexes.2. a. Given the data in Problem 1, construct an equal-weighted index by assuming $1,000 isinvested in each stock. What is the percentage change in wealth for this portfolio?b. Compute the percentage of price change for each of the stocks in Problem 1. Computethe arithmetic mean of these percentage changes. Discuss how this answer compares tothe answer in part (a).c. Compute the geometric mean of the percentage changes in part (b). Discuss how thisresult compares to the answer in part (b).

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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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1.You are given the following information regarding prices for a sample of stocks. PRICE STOCK NUMBER OF SHARES T T +1 A 1,000,000 60 80 B 10,000,000 20 35 C 30,000,000 18 25 a.Construct a price-weighted index for these three stocks, and compute the percentage change in the index for the period from T to T + 1. b.Construct a value-weighted index for these three stocks, and compute the percentage change in the index for the period from T to T + 1 c.Briefly discuss the difference in the results for the two indexes.
Using the data in the chart, calculate the first-period rates of return on the following indexes of the three stocks: A market-value-weighted index. An equally weighted index. stocks P0 Q0 P1 Q1 P2 Q2 A 90 100 95 100 95 100 B 50 200 45 200 45 200 C 100 200 110 200 55 400 (Pt represents price at time t, and Qt represents shares outstanding at time t.)
2. The following table shows the constituent stocks of a hypothetical index. Stock B splits two-for-one during the period. Stock A B C Beginning of Period Price ($) Shares 30 75 36 2,000 500 1,200 End of Period Price ($) 26 40 32 Shares 2,000 1,000 1,200 a. Calculate the returns on both the price-weighted index and the market value- weighted index of three stocks over the period. b. If you just buy 5,000 shares of stock C for $36, hold for 1 year, collect $8 dividend and sell it at $32. Calculate your total return.
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. A market-value-weighted index. rate of returnb. An equally weighted index. rate of return
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 с 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
Given the following information on five stocks, construct: a. A simple price-weighted average b. A value-weighted average c. A geometric average d. What is the percentage increase in each average if the stock prices change to those in Column I? e. What is the percentage increase in each average if the stock prices change from those in the Price column to those in Column II? f. Why were the percentage changes different in parts (d) and (e)? g. If you were managing a fund and wanted a source to compare your results to, which of the three averages would you prefer to use, and why? Stock Price # of Shares I II A B C D E F $12.00 150,000 $14.00 125,000 $11.00 200,000 $ 22.00 80,000 $8.00 30,000 $29.00 140,000 $12.00 $12.00 $14.00 $14.00 $20.00 $11.00 $ 22,00 $ 22.00 $8.00 $15.00 $29.00 $29.00
You are given the following information regarding prices for stocks of the followingfirms: PRICE Stock Number of Shares T T+ 1 ScotBank Ltd. 1,000,000 60 80 Jetvan Ltd 10,000,000 20 35 PriceLife Ltd. 30,000,000 18 25 i. Construct a price-weighted index for these three stocks and compute the percentagechange in the series for the period from T to T +1. ii. Construct a market-value-weighted index for these three stocks and compute thepercentage change in the series for the period from T to T +1. iii. Based on your answer above, which of these indexes BEST illustrate the movementon the stock market.
Consider the three stocks in the following table. Pt represents price at time t, Qt represents shares outstanding at time t. Stock C splits two for one in the second period from t=1 to t=2. Calculate the rate of return on a price-weighted index consisting of the three stocks for the first period from t=0 to t=1. Answer in percentage. Stock P0 Q0 P1 Q1 P2 Q2 A 70 475 75 475 75 475 B 45 850 40 850 40 850 C 50 300 60 300 30 600 a. 0.00% b. 2.49% c. 6.06% d. 8.95% e. 1.30%
The index model has been estimated for stocks A and B with the following results: RA = 0.12 + 0.610RM + eA RB = 0.04 + 1.416RM + eB σM = 0.270 σ(eA) = 0.20 σ(eB) = 0.10 What is the covariance between each stock and the market index?
The index model has been estimated for stocks A and B with the following results: = 0.12 +0.670RM+еA RA= RB=0.04 +1.512RM + еB °M= 0.330 σ(eд) = 0.20 σ(eB) = 0.10 What is the covariance between each stock and the market index? (Round your answers to 4 decimal places.) Stock A covariance Stock B covariance
Question 1 Consider the three stocks in the following table. P, represents price at time t, and Qt represents shares outstanding at time t. Po Qo P₁ Q₁ 50 100 60 100 A IB 30 200 24 200 C 20 200 30 200 a. Calculate the rate of return on a price-weighted index of the three stocks b. Calculate the rate of return on a market value-weighted index of the three stocks
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 3.2% + 1.10RM + eA RB = -1.4 % + 1.25RM + eB OM= 30%; R-squareд = 0.28; R-squareg = 0.12 What is the covariance between each stock and the market index? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round your intermediate calculations. Round your answers to nearest whole number. Answer is complete but not entirely correct. Stock A Stock B Covariance 93 x 101 x

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