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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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. Stock A B C Po 90 45 80 90 425 450 650 a. Rate of return b. New divisor c. Rate of return P1 95 40 90 91 425 450 650 % P2 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). Note: Do not round intermediate calculations. Round your answer to 2 decimal places. b. Calculate the new divisor for the price-weighted index in year 2. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. Calculate the rate of return for the second period (t=1 to t = 2). Note: Round your answer to 2 decimal places. % 92 425 450 95 40 45 1,300
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 Ро 90 50 100 Rate of return 90 100 200 200 P1 95 45 110 Rate of return b. An equally weighted index Required: Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round intermediate calculations. Round answers to 2 decimal places.) a. A market value-weighted index % 01 100 200 200 % P2 95 45 55 92 100 200 400
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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.
(10). The table below presents the price of stock A and the points of a market index over the last four moths. Month 1 3 4 A 100 105 108 103 1112 1150 1200 1190 a. The holding period logarithmic return of stock A equals: A. 12%; B. 8.85%; C. 13,97%; D. b. The beta coefficient of stock A equals: A. 0,64; B. 0,19; C. 1,64; D. ...... % c. The estimated alpha coefficient from the market model equals d. The coefficient of determination from the market model equals
Consider three stocks, X, Y, and Z, in the following table. P0, P1, and P2 represent prices at time 0, 1, and 2. Q0, Q1, and Q2 represent shares outstanding. Stock Z splits two for one in the last period. Stocks PO Q0 P1 Q1 P2 Q2 ? X 90 100 95 100 95 100 Y 50 200 60 200 45 200 Z 100 200 110 200 55 400 Using the above information to compute an equally weighted average returns in the three stocks from periods 1 to 2 0% O-1.85% -8.33% -25.00%
Calculate the Holding Period Return (HPR) for the portfolio of the three stocks mentioned in Table 1. Calculate the Holding Period Return (HPR) for each of the stock A, B, and C individually given in Table 1. C. Based upon your calculations, evaluate the Holding Period Return (HPR) to exhibit what change in wealth has taken place?
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. PO 98 58 100 51 103 e 200 116 200 53 126 100 200 200 103 100 53 63 200 400 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 Rate of return An equally weighted index ate of return % %
Suppose a market consists of four stocks. The number of shares outstanding for each stock as well as the stock prices in two consecutive days are as follows: Stock A Stock B Stock C Stock D Shares outstanding 200 1000 400 3000 I $5 $30 $100 $40 Ро $15 $25 $80 $50 a) Compute the percentage increase in the price-weighted index for this market. b) Compute the percentage increase in the value-weighted index for this market. P₁
Compute the portfolio risk if stock A and Stock B are combined in a portfolio in the ratio 6:4 respectively.
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 rate of return for the price-weighted index that is formed using Stocks A, B, and C from time period 1 to time period 2? B C zero P(1) 95 45 100 -20.83% 20.83% None of the above Q(1) 100 200 200 P(2) 95 45 50 Q(2) 100 200 400
Consider a market value-weighted index with only 3 stocks: Stock A, Stock B, and Stock C. The current shares and current prices, as well as the original number of shares and original prices, of the stocks are summarized in the following table: Current Shares Current Price Original Shares Original Price Stock A Stock B Stock C 300 100 200 Assuming the base value is 100, the index level is $48 $69 $91 100 100 100 $28 $79 $51 Round your answer to 4 decimal places.

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