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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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
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. P0 Q0 P1 Q1 P2 Q2 A 110 500 115 500 115 500 B 90 600 85 600 85 600 C 80 600 100 600 50 1,200 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.) b. Calculate the new 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 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. P0 Q0 P1 Q1 P2 Q2 A 87 100 92 100 92 100 B 47 200 42 200 42 200 C 94 200 104 200 52 400 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.) 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. P0 Q0 P1 Q1 P2 Q2 A 82 100 87 100 87 100 B 42 200 37 200 37 200 C 84 200 94 200 47 400 a. Calculate the rate of return on a price - weighted index of the three stocks for the first period (t = 0 tot = 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). *note: Please explain why the reture rate for the second period is 0. Thanks!*
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. PO 00 P1 01 P2 02 A 82 100 87 100 87 100 B 42 200 37 200 37 200 C 84 200 94 200 47 400 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.) Rate of return % 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.) Divisor 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. A B C Po 82 42 84 00 100 200 200 Divisor P1 87 37 94 01 100 200 200 P2 87 37 47 92 100 200 400 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.) Rate of return I % 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.) D 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. A B C Pe 86 46 92 Rate of return Divisor Q0 100 200 200 P1 91 41 102 Rate of return 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.) 4.14 % 91 100 200 200 P2 91 41 51 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.) 2% 92 100 200 400 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 ot represents shares outstanding at time t. Stock C splits two for one in the last period. Stock Po P1 21 75 65 75 75 75 55 150 50 150 50 150 110 150 115 150 60 300 A B с с 20 75 P2 a. Rate of return b. Rate of return Required: Calculate the first-period rates of return on the following indexes of the three stocks (t=0 to t= 1): Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. A market-value-weighted index. b. An equally weighted index. 22 % %
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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 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.)
Consider the three stocks in the following table. Pe represents price at time t, and Qe represents shares outstanding at time t Stock C splits two for one in the last period. Stock A B С PO 80 85 35 20 275 650 950 a. Rate of return b. New divisor c. Rate of return P1 85 80 50 01 275 650 950 % 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. % 85 80 25 02 275 650 1,900

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