A market value weighted index has three stocks in it, priced at 82,8, 76.2, and 56.9 per share, and each firm has 488, 477 and 449 thousand shares outstanding, respectively. The value of the index today is 976.2. At this time, the third stock undergoes a 3 for 1 stock split. What is the new value of the index? Enter answer accurate to two decimal places.
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- 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?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?Suppose a stock index contains the stock of 3 firms: A, B and C. The stock prices for the three firms are $54, $56 and $30, respectively. The firms have 140 million, 62 million and 60 million shares outstanding, respectively , if the index price-weighted , calculate its initial value ( round your answer to 2 decimal places)
- 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)An equal-weighted index is composed of 3 stocks. Stock A is trading at $53, stock B at $75 and stock C at $81. One year later, stock A is now worth $41, stock B is $76, and stock C is $128. Neither of the 3 stocks have paid any dividends. The total return for this index is closest to: Question 6 options: A) 166.50% B) 12.24% C) 81.99%Ralph is constructing a price-weighted index. On March 1, 2XX1, he has the following stocks in the index: Company Share price # shares outstanding Walmart $42.6 26,000 Kmart $18.76 19,000 Venture $55.11 63,000 Macy’s $39.61 45,000 What is the price-weighted index on March 1, 2XX1? (Do not round intermediate calculations. Round your answers to 3 decimal places. (e.g., 32.167))
- Three stocks have share prices of $12, $75, and $30 with total market values of $400 million, $350 million and $150 million respectively. If you were to construct a price- weighted index of the three stocks what would be the index value?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 84 100 89 100 89 100 B 44 200 39 200 39 200 C 88 200 98 200 49 400 Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round intermediate calculations. Round your answers to 2 decimal places.)a. A market value–weighted index b. An equally weighted indexConsider the three stocks in the following table. P, represents price at time t, and Q, represents shares outstanding at time t. Stock C splits two-for-one in the last period. (LO 2-2) A B C Po 90 50 100 Qo 100 200 200 P₁ 95 45 110 Q₁ 100 200 200 P₂ 95 45 55 a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t = 1). b. What must happen to the divisor for the price-weighted index in year 2? c. Calculate the rate of return of the price-weighted index for the second period (t = 1 to t=2). Q₂ 100 200 400
- Suppose a stock index contains the stock of 3 firms: A, B and C. The stock prices for the three firms are $30, $21 and $39, respectively. The firms have 98 million, 127 million and 130million shares outstanding, respectively. If the index is value-weighted, calculate its initial value.There are three stocks in a price-weighted index: A $100 B $20 C $60 a. What is the average value for the index? b. Assume stock A goes down by 25 percent and stock B goes up by 25 percent, and stock C remains the same. What is the new average value for the index? c. Explain why in part b the average changed with two stocks moving up and down by the same percentage amount.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).