Suppose a market consists of four stocks. The number of shares outstanding for each stock as well as the stock prices in two consecutive days are as follows: Stock A Stock B Stock C Stock D Shares outstanding 200 1000 400 3000 I $5 $30 $100 $40 Po $15 $25 $80 $50 a) Compute the percentage increase in the price-weighted index for this market. b) Compute the percentage increase in the value-weighted index for this market. P₁

Suppose a market consists of four stocks. The number of shares outstanding for each stock as well as the stock prices in two consecutive days are as follows: Stock A Stock B Stock C Stock D Shares outstanding 200 1000 400 3000 I $5 $30 $100 $40 Po $15 $25 $80 $50 a) Compute the percentage increase in the price-weighted index for this market. b) Compute the percentage increase in the value-weighted index for this market. P₁

EBK CFIN

6th Edition

ISBN:9781337671743

Author:BESLEY

Publisher:BESLEY

Chapter8: Risk And Rates Of Return

Section: Chapter Questions

Problem 10PROB

See similar textbooks

Similar questions

The Dow Jones Industrial Average (DJIA) and the Standard Poors 500 (SP 500) indexes are used as measures of overall movement in the stock market The DJIA is based on the price movements of 30 large companies: the SP 500 is an index composed of 500 stocks. Some say the SP 500 is a better measure of stock market performance because it is broader based. The closing price for the DJIA and the SP 500 for 15 weeks, beginning with January 6, 2012, follow (Barrons web site, April 17, 2012). a. Develop a scatter chart for these data with DJIA as the independent variable. What does the scatter chart indicate about the relationship between DJIA and SP 500? b. Develop an estimated regression equation showing how SP 500 is related to DJIA. What is the estimated regression model? c. What is the 95% confidence interval for the regression parameter 1? Based on this interval, what conclusion can you make about the hypotheses that the regression parameter 1 is equal to zero? d. What is the 95% confidence interval for the regression parameter 0? Based on this interval, what conclusion can you make about the hypotheses that the regression parameter 0 is equal to zero? e. How much of the variation in the sample values of SP 500 does the model estimated in part (b) explain? f. Suppose that the closing price for the DJIA is 13,500. Estimate the closing price for the SP 500. g. Should we be concerned that the DJIA value of 13,500 used to predict the SP 500 value in part (f) is beyond the range of the DJIA used to develop the estimated regression equation?
Select one of the four stocks listed in Question 3 by entering the companys ticker symbol on the financial website you have chosen. On the screen you should see the interactive chart. Select the six-month time period and select the SP 500, so the stocks performance will be compared to the SP 500s performance on the graph. Has the stock outperformed or underperformed the overall market during this time period?
An analyst gathered daily stock returns for Feburary 1 through March 31, calculated the Fama-French factors for each day in the sample (SMBt and HMLt), and estimated the Fama-French regression model shown in Equation 6-21. The estimated coefficients were ai = 0, bi = 1.2, ci = 0.4, and di = 1.3. On April 1, the market return was 10%, the return on the SMB portfolio (rSMB) was 3.2%, and the return on the HML portfolio (rHML) was 4.8%. Using the estimated model, what was the stocks predicted return for April 1?
Morningstar publishes ratings data on 1,208 company stocks. A sample of 40 of these stocks is contained in the file named Morningstar. Use the Morningstar data set to answer the following questions. a. Develop a point estimate of the proportion of the stocks that receive Morningstars highest rating of 5 Stars. b. Develop a point estimate of the proportion of the Morningstar stocks that are rated Above Average with respect to business risk. c. Develop a point estimate of the proportion of the Morningstar stocks that are rated 2 Stars or less.
A benchmark market value index is comprised of three stocks. Yesterday the three stocks were priced at $16, $26, and $55. The number of outstanding shares for each is 750,000 shares, 650,000 shares, and 350,000 shares, respectively. If the stock prices changed to $20, $24, and $57 today respectively, what is the 1-day rate of return on the index?
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%
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.
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).
Suppose a stock index contains the stock of 3 firms: A Band C. The stock prices for the three firms are $56, $63 and $23, respectively. The firms have 132 milion, 102 million and 110 million shares outstanding, respectively. If the index is value weighted, calculate its initial value. (round your answer to 2 decimal places)
Suppose a stock index contains the stock of 3 firms: A, B and C The stock prices for the three firms are $33 $48 and $27. respectively. The firms have 115 million, 69 million and 119 million shares outstanding, respectively. If the index is price-weighted, calculate its initial value. (round your answer to 2 decimal places)
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. Answer options: 0.00% 2.49% 6.06% 8.95% 1.30%
You are given the following information regarding prices for stocks of the followingfirms: PRICE Stock Number of Shares T T+ 1 ScotBank Ltd. 1,000,000 60 80 Jetvan Ltd 10,000,000 20 35 PriceLife Ltd. 30,000,000 18 25 i. Construct a price-weighted index for these three stocks and compute the percentagechange in the series for the period from T to T +1. ii. Construct a market-value-weighted index for these three stocks and compute thepercentage change in the series for the period from T to T +1. iii. Based on your answer above, which of these indexes BEST illustrate the movementon the stock market.