The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): Douglas McDonnell Dynamics General International Rockwell Index return Shares (millions) 195 455 230 % 1/1/19 $97 27 56 Price: 4 1/1/20 $100 a. Compute the rate of return on an equally weighted index of the three defense stocks for the year ending December 31, 2019. (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) 22 45 1/1/21 $113 36 62

The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): Douglas McDonnell Dynamics General International Rockwell Index return Shares (millions) 195 455 230 % 1/1/19 $97 27 56 Price: 4 1/1/20 $100 a. Compute the rate of return on an equally weighted index of the three defense stocks for the year ending December 31, 2019. (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) 22 45 1/1/21 $113 36 62

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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The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): Price Shares(millions) 1/1/19 1/1/20 1/1/21 Douglas McDonnell 185 $ 69 $ 72 $ 85 Dynamics General 450 47 40 54 International Rockwell 270 76 65 79 a. Calculate the initial value of the index if a price-weighting scheme is used. b. What is the rate of return on this index for the year ending December 31, 2019? For the year ending December 31, 2020? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager beleves these stocks are an approprlate benchmark for his or her performance): Priom Douglan HeDonnell Dynanicn Ceneral International Roekvell Sharee Imilliona) 355 455 270 1/1/19 $86 55 84 3/1/20 $91 52 1/1/21 $103 66 87 73 a. Calculate the initial value of the index if a price-weighting scheme is used. Index value b. What is the rate of return on this Index for the year ending December 31, 20197 For the year ending December 31, 20207 (A negative value should be Indicated by a minus sign. Do not round Intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) 2019 return 2020 retum
The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): Douglas McDonnell Dynamics General International Rockwell Index value 2019 return 2020 return Shares (millions) 415 225 350 % 1/1/19 $84 23 52 a. Calculate the initial value of the index if a price-weighting scheme is used. % Price 1/1/20 $ 89 16 41 1/1/21 $106 b. What is the rate of return on this index for the year ending December 31, 2019? For the year ending December 31, 2020? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) 30 55
The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance). Assume the index is scaled by a factor of 10 million; that is, if the total value of all firms in the market is $5 billion, the index would be quoted as 500. Price Shares(millions) 1/1/19 1/1/20 1/1/21 Douglas McDonnell 210 $ 94 $ 97 $ 111 Dynamics General 450 36 31 45 International Rockwell 350 65 54 68 a. Calculate the initial value of the index if a value-weighting scheme is used. (Round your answer to 2 decimal places.) b. What is the rate of return on this index for the year ending December 31, 2019? For the year ending December 31, 2020? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): [[,,Price], [, Shares,,,], [Douglas McDonnell, 210, 94,97,111
The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance). Suppose that Douglas McDonnell shareholders approve a 2-for-1 stock split on January 1, 2020. Douglas McDonnell Dynamics General International Rockwell New divisor 2.198 Rate of return Shares (millions) 345 450 310 1/1/19 $ 94 66 95 What is the new divisor for the index? (Do not round intermediate calculations. Round your answer to 3 decimal places.) 18.70 % Price 1/1/20 $ 97 61 84 1/1/21 $109 75 101 b. Calculate the rate of return on the index for the year ending December 31, 2020, if Douglas McDonnell's share price on January 1, 2021, is $34.50 per share. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
The following three defense stocks are to be combined into a stock index in January 2022 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): Douglas McDonnell Dynamics General International Rockwell Index value Shares (millions) 430 535 210 2022 return 2023 return a. Calculate the initial value of the index if a price-weighting scheme is used. 1/1/22 $ 108 38 67 Price 1/1/23 $ 114 34 56 % % b. What is the rate of return on this index for the year ending December 31, 2022? For the year ending December 31, 2023? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. 1/1/24 $ 131 48 70
The following three defense stocks are to be combined into a stock index in January 2022 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance). Suppose that Douglas McDonnell shareholders approve a 3- for-1 stock split on January 1, 2023. Douglas McDonnell Dynamics General International Rockwell New divisor Shares (millions) 205 450 290 Rate of return a. What is the new divisor for the index? Note: Do not round intermediate calculations. Round your answer to 3 decimal places. 76.000 1/1/22 $ 103 48 77 Price 1/1/23 $ 109 44 66 19.18 % 1/1/24 $123 58 80 b. Calculate the rate of return on the index for the year ending December 31, 2023, if Douglas McDonnell's share price on January 1, 2024, is $38.40 per share. Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.
You are given the following information regarding four stocks in a portfolio: Company # of Shares Price ($) 2020 Price ($) 2021 ELITE 40,000 3.11 2.99 FTNA 5,000 30.37 34.10 GWEST 55,000 2.05 1.80 TTECH 20,000 5.55 4.60 Assuming 2020 is the base year with an index value of 500: i. Compute a price-weighted index of these four stocks for 2021. ii. Compute a value-weighted index of these four stocks for 2021. What is the percentage change in the value of the index from 2020 to 2021? iii. Compute the un-weighted index of these four stocks for 2019. What is the percentage change in the value of the index from 2020 to 2021
The following three defense stocks are to be combined into a stock index in January 2022 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): Douglas McDonnell Dynamics General Index value Shares (millions) 200 300 390 International Rockwell, a. Calculate the initial value of the index if a price-weighting scheme is used. 2022 return 2023 return 1/1/22 $ 70 51 80 Price 1/1/23 $ 73 46 69 % % b. What is the rate of return on this index for the year ending December 31, 2022? For the year ending December 31, 2023? Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. 1/1/24 $ 87 60 86
The following three defense stocks are to be combined into a stock index in January 2022 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance). Assume the index is scaled by a factor of 10 million; that is, if the total value of all firms in the market is $5 billion, the index would be quoted as 500. Douglas McDonnell Dynamics General International Rockwell Shares (millions) 215 455 1/1/22 $ 64 Price 1/1/23 1/1/24 72 . $ 68 64 $ 82 78 250 101 90 106 a. Calculate the initial value of the index if a value-weighting scheme is used. Note: Round your answer to 2 decimal places. Index value 49,045.00 b. What is the rate of return on this index for the year ending December 31, 2022? For the year ending December 31, 2023? Note: A negative valué should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. 2022 return 2023 return
In addition to price-weighted and value-weighted indexes, an equally weighted index is one in which the index value is computed from the average rate of return of the stocks comprising the index. Equally weighted indexes are frequently used by financial researchers to measure portfolio performance. The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager believes these stocks are an appropriate benchmark for his or her performance): Douglas McDonnell Dynamics General International Rockwell Index return Shares (millions) 530 230 330 1/1/19 $ 62 34 63 Index value Price 1/1/20 $ 66 28 52 a. Compute the rate of return on an equally weighted index of the three defense stocks for the year ending December 31, 2019. (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) 1/1/21 $.81 42 68 b. If the index value is set to 100 on January…

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