Problem 5-16 Value-Weighted Indexes (LO4, CFA2)The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager believes thesestocks are an appropriate benchmark for his or her performance). Assume the index is scaled by a factor of 10 million; that is, if thetotal value of all firms in the market is $5 billion, the index would be quoted as 500.Douglas McDonnellDynamics GeneralInternational RockwellIndex valueShares(millions)2104503502019 return2020 return1/1/19$943665%%Pricea. Calculate the initial value of the index if a value-weighting scheme is used. (Round your answer to 2 decimal places.)1/1/20$ 9731541/1/21$1114568b. What is the rate of return on this index for the year ending December 31, 2019? For the year ending December 31, 2020? (Anegative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percentrounded to 2 decimal places.)

Index:It measures the basket of securities price performance by applying a standard metric.Such…

Answered: Problem 5-16 Value-Weighted Indexes…

Fundamentals of Financial Management (MindTap Course List)

14th Edition

ISBN:9781285867977

Author:Eugene F. Brigham, Joel F. Houston

Publisher:Eugene F. Brigham, Joel F. Houston

Chapter8: Risk And Rates Of Return

Section: Chapter Questions

Problem 22SP

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es 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 Index value Shares (millions) 215 455 250 2022 return 2023 return 1/1/22 $64 72 101 a. Calculate the initial value of the index if a value-weighting scheme is used. Note: Round your answer to 2 decimal places. Price 1/1/23 % % $68 64 90 Check my wa 1/1/24 $82 78 106 b. What is the rate of return on this index for the year ending December 3 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.
es 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) 420 450 250 2022 return 2023 return a. Calculate the initial value of the index if a price-weighting scheme is used. 1/1/22 $ 63 53 82 Price 1/1/23 $ 67 47 71 % % 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 $ 84 61 87
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
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): 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
Consider the following table of annual rates of return, in percentage, for four common risky assets over the time period 2010 to 2019 • Berkshire Hathaway (ticker: BRK/A) • S&P 500 Index (ticker: SPX) • NASDAQ 100 Index (ticker: NDX) • Russell 2000 Index (ticker: RUT) YEAR BRK/A SPX NDX RUT 2010 21.4 15.1 19.22 26.85 2011 -4.7 2.1 2.7 -4.18 2012 16.8 16 16.82 16.35 2013 32.7 32.4 34.99 38.82 2014 27 13.7 17.94 4.89 2015 -12.5 1.4 8.43 -4.41 2016 23.4 12 5.89 21.31 2017 21.9 21.8 31.52 14.65 2018 2.8 -4.4 -1.04 -11.01 2019 11 31.5 37.96 25.52 Now assume there is a risk-free asset available and the annual risk-free rate is 2%. Using mean-variance portfolio theory, determine the 4 portfolio weightings and the portfolio variance for the unique fund F defined by the tangent portfolio and the one-fund theorem. Note that the portfolio weights sum to 1 and short selling (negative weights) are permissible.
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): Douglas McDonnell Dynamics General International Rockwell Index return Shares (millions) 210 450 350 % Index value 1/1/19 $94 36 65 Price 1/1/20 $ 97 31 54 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 $111 45 68 b. If the index value is set to 100 on January 1, 2019, what will the index value be on January 1, 2020? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Che
Assume a market with five stocks: Stocks A through E. The metric which tracks the market movement is known as the MM-5 index or the MiniMarket – 5 index. Its base value is 500 based on the market capitalization and was set in December 1990. Use the information below in the image to answer the questions: i) Compute the value of MM – 5 Index on December 31, 2020ii) Compute the value of MM – 5 index on December 31, 1990iii) Compare the index values computed in the previous two parts. Has the market risen since the inception of MM – 5? Compute the percentage change between the index values in 1990 and 2020 to substantiate the answer
You are given the following information regarding four stocks in a portfolio: Company # of Shares Price ($) 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 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 % Index value 1/1/19 $ 97 27 56 Price 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.) 1/1/20 $100 22 45 1/1/21 $113 36 62 b. If the index value is set to 100 on January 1, 2019, what will the index value be on January 1, 2020? (Do not round intermediate calculations. Round your answer 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). 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.

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