You are given the following information regarding prices for a sample of stocks. Stock B: Stock A B с Stock C: Number of Shares 1,500,000 13,000,000 30,000,000 PRICE T 7+1 $98 37 29 a. Construct an equal-weighted index by assuming $1,000 is invested in each stock. What is the percentage change in wealth for this portfolio? Do not round intermediate calculations. Round your answer to two decimal places. % b. Compute the percentage of price change for each of the stocks. Do not round intermediate calculations. Round your answers to two decimal places. Stock A: % $80 26 23 % Compute the arithmetic mean of these percentage changes. Do not round intermediate calculations. Round your answer to two decimal places. % c. Compute the geometric mean of the percentage changes in Part b. Do not round intermediate calculations, Round your answer to two decimal places

You are given the following information regarding prices for a sample of stocks. Stock B: Stock A B с Stock C: Number of Shares 1,500,000 13,000,000 30,000,000 PRICE T 7+1 $98 37 29 a. Construct an equal-weighted index by assuming $1,000 is invested in each stock. What is the percentage change in wealth for this portfolio? Do not round intermediate calculations. Round your answer to two decimal places. % b. Compute the percentage of price change for each of the stocks. Do not round intermediate calculations. Round your answers to two decimal places. Stock A: % $80 26 23 % Compute the arithmetic mean of these percentage changes. Do not round intermediate calculations. Round your answer to two decimal places. % c. Compute the geometric mean of the percentage changes in Part b. Do not round intermediate calculations, Round your answer to two 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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1.You are given the following information regarding prices for a sample of stocks. PRICE STOCK NUMBER OF SHARES T T +1 A 1,000,000 60 80 B 10,000,000 20 35 C 30,000,000 18 25 a.Construct a price-weighted index for these three stocks, and compute the percentage change in the index for the period from T to T + 1. b.Construct a value-weighted index for these three stocks, and compute the percentage change in the index for the period from T to T + 1 c.Briefly discuss the difference in the results for the two indexes.
You are given the returns for the following three stocks: Stock B Stock C Stock A 14.00% 14.00% -19.00% 14.00 14.00 34.00 14.00 22.00 37.00 14.00 14.00 14.00 4.00 Year 1 2 3 4 5 7.00 13.00 Calculate the arithmetic return, geometric return, and standard deviation for each stock. Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Arithmetic return Standard deviation Geometric return Stock A 14.01 % 0.00 % 14.01 % Stock B 14.00 % 14.01 % Stock C 14.00 % 14.02 %
Consider the three stocks in the following table. Pt represents price at time t, Qt represents shares outstanding at time t. Stock C splits two for one in the second period from t=1 to t=2. Calculate the rate of return on a price-weighted index consisting of the three stocks for the first period from t=0 to t=1. Answer in percentage. Stock P0 Q0 P1 Q1 P2 Q2 A 70 475 75 475 75 475 B 45 850 40 850 40 850 C 50 300 60 300 30 600 a. 0.00% b. 2.49% c. 6.06% d. 8.95% e. 1.30%
For the next question, consider the two stocks, A and B, in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. P0 Q0 P1 Q1 A 50 100 45 100 B 30 200 34 200 Calculate the rate of return on a price-weighted index of the two stocks for between t = 0 and t = 1. Assume the divisor value is 2. Enter your answer as a decimal, rounded to four decimal places (e.g, 0.0123).
1. You are given the following information regarding prices for a sample of stocks. PRICE Stock Number of Shares T+1 A 1,000,000 60 80 10,000,000 20 35 30,000,000 18 25 Chapter 4: Security Market Indexes and Index Funds 117 a. Construct a price-weighted index for these three stocks, and compute the percentage change in the index for the period from T to T + 1. b. Construct a value-weighted index for these three stocks, and compute the percentage change 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 is invested 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. Compute the arithmetic mean of these percentage changes. Discuss how this answer compares to the answer in part (a). c. Compute the geometric mean of the percentage changes…
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.)
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 3.2% + 1.10RM + eA RB = -1.4 % + 1.25RM + eB OM= 30%; R-squareд = 0.28; R-squareg = 0.12 What is the covariance between each stock and the market index? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round your intermediate calculations. Round your answers to nearest whole number. Answer is complete but not entirely correct. Stock A Stock B Covariance 93 x 101 x
Consider the three stocks in the following table. P, represents the price at time t, and Q, represents the total shares outstanding at time t. Calculate the rate of return on a price-weighted index of three stocks for the first period (t=0 to t=1). Table 2: Data for Q4 & Q5 Q0 P1 Q1 PO 100 50 105 50 A B 200 100 210 100 C 300 100 250 100
Based on the following information: State of Economy Probability of State of Economy Return on Stock J Return on Stock K Bear .20 -.030.024 Normal .55.128.052 Bull .25 .208.082 a. Calculate the expected return for each of the stocks. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation for each of the stocks. ( Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g , 32.16.) c. What is the covariance between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) d. What is the correlation between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .1616.)
Given the following information on five stocks, construct: a. A simple price-weighted average b. A value-weighted average c. A geometric average d. What is the percentage increase in each average if the stock prices change to those in Column I? e. What is the percentage increase in each average if the stock prices change from those in the Price column to those in Column II? f. Why were the percentage changes different in parts (d) and (e)? g. If you were managing a fund and wanted a source to compare your results to, which of the three averages would you prefer to use, and why? Stock Price # of Shares I II A B C D E F $12.00 150,000 $14.00 125,000 $11.00 200,000 $ 22.00 80,000 $8.00 30,000 $29.00 140,000 $12.00 $12.00 $14.00 $14.00 $20.00 $11.00 $ 22,00 $ 22.00 $8.00 $15.00 $29.00 $29.00
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 a market value-weighted index consisting of 3 stocks: A, B, and C. The stocks' prices at time 0 (p0) and time 1 (p1) are given below, along with the number of shares outstanding. Calculate the index levels at time 0. Round your answer to 4 decimal places. For example, if your answer is 3.205%, then please write down 0.0321. stock p0 p1 outstanding shares 43 45 200 69 50 500 11 12 600 A B C

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