In addition to price-weighted and value-weighted indexes, an equally weighted index is one in which the index value is computed fromthe average rate of return of the stocks comprising the index. Equally weighted indexes are frequently used by financial researchers tomeasure portfolio performance.The following three defense stocks are to be combined into a stock index in January 2022 (perhaps a portfolio manager believesthese stocks are an appropriate benchmark for his or her performance):Douglas McDonnellDynamics GeneralInternationalRockwellShares (millions)1/1/22540455290$ 624978Price1/1/23$ 6643671/1/24$ 815781a. Compute the rate of return on an equally weighted index of the three defense stocks for the year ending December 31, 2022.Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as apercent rounded to 2 decimal places.Index return%b. If the index value is set to 100 on January 1, 2022, what will the index value be on January 1, 2023?Note: Do not round intermediate calculations. Round your answer to 2 decimal places.Index valuec. What is the rate of return on the index for 2023?Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.

The equally weighted index functions similarly to a group in which all members have an equal voice.…

a. Compute the rate of return on an equally weighted index of the three defense stocks for the year ending December 31, 2022. Note: 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. Index return % b. If the index value is set to 100 on January 1, 2022, what will the index value be on January 1, 2023? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Index value c. What is the rate of return on the index for 2023? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.

a. Compute the rate of return on an equally weighted index of the three defense stocks for the year ending December 31, 2022. Note: 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. Index return % b. If the index value is set to 100 on January 1, 2022, what will the index value be on January 1, 2023? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Index value c. What is the rate of return on the index for 2023? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.

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 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.)
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 figures below show plots of monthly rates of return on three stocks versus those of the market index. The beta and standard deviation of each stock is given beside the plot. Which stock is safest for a diversified investor? Which stock is safest for an undiversified investor who puts all her money in one of these stocks? Consider a portfolio with equal investments in each stock. What would be this portfolio’s beta? Consider a well-diversified portfolio composed of stocks with the same beta and standard deviation as Ford. What are the beta and standard deviation of this portfolio’s return? The standard deviation of the market portfolio’s return is 20%. Use the capital asset pricing model to estimate the expected return on each stock. The risk-free rate is 4%, and the market risk premium is 8%.
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.)
The attached file contains hypothetical data for working this problem. Goodman Corporation’s and Landry Incorporated’s stock prices and dividends, along with the Market Index, are shown in the file. Stock prices are reported for December 31 of each year, and dividends reflect those paid during the year. The market data are adjusted to include dividends. If you formed a portfolio that consisted of 60% Goodman stock and 40% Landry stock, what would be its beta and its required return?
Below are two alternative strategies under consideration by an investment fi rm:Strategy A : Invest in stocks that are components of a global equity index, have aROE above the median ROE of all stocks in the index, and have a P/E less thanthe median P/E.Strategy B : Invest in stocks that are components of a broad-based US equity index,have a ratio of price to operating cash fl ow in the lowest quartile of companies inthe index, and have shown increases in sales for at least the past three years.Both strategies were developed with the use of back-testing.1 . How would you characterize the two strategies?2 . What concerns might you have about using such strategies?
An analyst wants to evaluate Portfolio X consisting entirely of US common stocks, using both the Treynor and Sharpe measures of the portfolio performance. The following table provides the average annual rate of return for the portfolio X the market portfolio (as measured by the Standard & Poor's 500 index) and US Treasury billds (Tbills) during the past eight years Average Return Standard deviation Beta Portfolio X 10% 18% 0.6 S & P 500 12% 13% 1 T bills 6% n/a n/a a. Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Briefly explain whether portfolio X underperformed, equalled, or outperformed the S&P 500 on a risk-adjusted basis using both the Treynor measure and the Sharpe measure. b. Based on the performance of…
A price-weighted index consists of Stocks A, B, and C which are priced at $50, $35, and $15 a share, respectively. The current index divisor is 3. What will the new index divisor be if Stock A undergoes a 5-for-1 stock split? (show your steps)
The data below describes a three-stock financial market that satisfies the single index model. Stock Capitalization Beta Mean Excess Return Standard Deviation A £3,000 1.0 10% 40% B £1,940 0.2 2% 30% C £1,360 1.7 17% 50% The standard deviation of the market index portfolio is 25%. What is the mean excess return of the index portfolio? What is the covariance between stock A and stock B? What is the covariance between stock B and the index? Break down the variance of stock B into its systematic and firm specific components.
In Capital IQ, find the monthly price data (Historical Price, HP) for stocks of Kellogg and IBM from January 2018 to December 2023. Compute the monthly returns, mean return, sample variance, sample standard deviation, sample covariance, and correlation statistics. Graph a monthly mean return and standard deviation frontier of the portfolios composed of these two stocks. The data for Kellogg and IBM is given below. Please provide everything correct as needed with explanations. Dates Kellanova (NYSE:K) - Share Pricing Jan-31-2018 68.11 Feb-28-2018 66.2 Mar-31-2018 65.01 Apr-30-2018 58.9 May-31-2018 64.39 Jun-30-2018 69.87 Jul-31-2018 71.03 Aug-31-2018 71.79 Sep-30-2018 70.02 Oct-31-2018 65.48 Nov-30-2018 63.65 Dec-31-2018 57.01 Jan-31-2019 59.01 Feb-28-2019 56.26 Mar-31-2019 57.38 Apr-30-2019 60.3 May-31-2019 52.56 Jun-30-2019 53.57 Jul-31-2019 58.22 Aug-31-2019…
You ask a stockbroker what the firm’s research department expects for the three (3) stocksabove, that is, Stock X, Y and Z. The broker responds with the following information:Stock Current Price Expected Price Expected Dividend X 22 24 0.75 Y 48 51 2.00 Z 37 40 1.25Required:B. Calculate the estimated future rate of return for Stock X, Y, and Z. C. Determine which stock is overvalued, undervalued, properly valued, and state whyD. Illustrate with the use of the Security Market Line (SML) how Stock X , Y and Z wouldappear on it.

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