Question

In: Finance

A price-weighted index is comprised of three stocks. Yesterday the three stocks were priced at $15,...

A price-weighted index is comprised of three stocks. Yesterday the three stocks were priced at $15, $20, and $32. The number of outstanding shares for each is 500 shares, 2,000 shares, and 1,000 shares, respectively. If the stock prices changed to $16, $15, and $38 today respectively, what is the 1-day rate of return on the index?
① 2.7% ② 3.0% ③ 3.3% ④ 3.6%

Solutions

Expert Solution

The Correct Opyion is (2) 3%

Step(1) Calculation of Value of Index at the start (i.e. Yesterday)

Value of index = sum of prices of stocks in the index/number of stocks in the index.

Value of Index at the start = (15+20+32)/3 = 22.33

Step(2) Calculation of Value of Index at the End (i.e Today)

Value of index = sum of prices of stocks in the index/number of stocks in the index

Value of Index at the End  = (16+15+38)/3 = 23

Step (3) Calculation of Rate of Return on Index

Rate of Return on Index = (Value of Index at the End - Value of Index At start)/Value of Index at the start

Rate of Return on Index = (23-22.33)/22.33 = .0300 0r 3%

Hence the one day rate of return of the Index is 3%


Related Solutions

A benchmark market value index is comprised of three stocks. Yesterday the three stocks were priced...
A benchmark market value index is comprised of three stocks. Yesterday the three stocks were priced at $24, $34, and $75. The number of outstanding shares for each is 790,000 shares, 690,000 shares, and 390,000 shares, respectively. If the stock prices changed to $28, $32, and $77 today respectively, what is the 1-day rate of return on the index .
A benchmark market value index is comprised of three stocks. Yesterday the three stocks were priced at $18, $26, and $60.
A benchmark market value index is comprised of three stocks. Yesterday the three stocks were priced at $18, $26, and $60. The number of outstanding shares for each is 650,000 shares, 550,000 shares, and 250,000 shares, respectively. If the stock prices changed to $22, $24, and $62 today respectively, what is the 1-day rate of return on the index? 5.77% 7.77% 4.88% 3.66%
11. A benchmark market value index is comprised of three stocks. Yesterday the three stocks were...
11. A benchmark market value index is comprised of three stocks. Yesterday the three stocks were priced at $18, $28, and $60. The number of outstanding shares for each is 760,000 shares, 660,000 shares, and 360,000 shares, respectively. If the stock prices changed to $22, $26, and $62 today respectively, what is the 1-day rate of return on the index? a. ​3.20% b. ​7.17% c. ​5.35% d. ​4.54% 12. Which of the following does not approximate the performance of a...
7)A benchmark market value index is comprised of three stocks.Yesterday the three stocks were priced...
7)A benchmark market value index is comprised of three stocks. Yesterday the three stocks were priced at $26, $36, and $80. The number of outstanding shares for each is 800,000 shares, 700,000 shares, and 400,000 shares, respectively. If the stock prices changed to $30, $34, and $82 today respectively, what is the 1-day rate of return on the index?2.31%3.91%5.22%3.33%8)What is the tax exempt equivalent yield on a 9% bond yield given a marginal tax rate of 24%?Multiple Choice6.84%7.26%11.84%9.00%
An equally weighted index has three stocks A, B, and C priced at $10, $20, and...
An equally weighted index has three stocks A, B, and C priced at $10, $20, and $20 yesterday, respectively. Yesterday, stock A has a split where one share split into 2 and the price was reduced from $10 to 5. If the equally weighted index was 100 yesterday and the prices changed to $6, $18, and $17, what is the new index value? 16.11 102.54 89.6 98.33
The ICAN (Index of Companies with Animal Names) is a price-weighted stock index, comprised of the...
The ICAN (Index of Companies with Animal Names) is a price-weighted stock index, comprised of the five companies shown below. None of the companies pay dividends. Company Name Share Price 1/1/2022 Share Price 1/1/23 Toucan Tech $12.40 $14.75 Manatee $68.00 $61.75 Iguana $101.50 $166.25 Koala $43.33 $50.00 Penguin $310.00 $400.00 The ICAN index on January 1, 2022 was 1784.10. On January 1, 2023, the ICAN index rose to 2309.17. The ICAN rate of return was therefore 29.43% over this period....
You construct a price-weighted index of 55 stocks. At the beginning of the day, the index...
You construct a price-weighted index of 55 stocks. At the beginning of the day, the index is 8,710.44. During the day, 54 stock prices remain the same, and 1 stock price increases $5.40. At the end of the day, your index value is 8,757.89. What is the divisor on your index?
The TriValue Index is a market value weighted index comprising of three stocks. The number of...
The TriValue Index is a market value weighted index comprising of three stocks. The number of shares outstanding and the closing stock prices for each of the stocks are given as follows: Number of shares outstanding Closing price yesterday Closing price today Stock A 350,000 $23 $23 Stock B 405,000 $43 $41 Stock C 553,000 $56 $58 The number of shares outstanding for the stocks does not change during the period. If the index was closed at 970 yesterday, what...
part 1 - Suppose that a stock index is constructed with three stocks priced at $7,...
part 1 - Suppose that a stock index is constructed with three stocks priced at $7, $43, and $56. The number of outstanding shares for each is 500,000 shares, 405,000 shares, and 553,000 shares, respectively. Today the prices for each stock are changed to $14, $44, and $52 and the number of outstanding shares for each are changed to 250,000 shares, 405,000 shares and 553,000 shares today, what is the price weighted index value today if the index yesterday was...
Suppose that a stock index is constructed with three stocks priced at $7, $43, and $56....
Suppose that a stock index is constructed with three stocks priced at $7, $43, and $56. The number of outstanding shares for each is 500,000 shares, 405,000 shares, and 553,000 shares, respectively. Today the prices for each stock are changed to $14, $44, and $52 and the number of outstanding shares for each are changed to 250,000 shares, 405,000 shares and 553,000 shares today, what is the price weighted index value today if the index yesterday was 10,500?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT