Exam 5: Security-Market Indexes

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Exhibit 5.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stock Price \# Shares Jan. 13,2005 20 40 30 1000 2000 100 Jan. 14,2005 25 42 18 1000 2000 2000 Jan. 15,2005 27 45 8 1000** 2000 2000 Jan. 16,2005 20 40 10 3000 2000 2000 *2:1 Split on Stock Z after Close on Jan. 13, 2005 **3:1 Split on Stock X after Close on Jan. 15, 2005 The base date for index calculations is January 13, 2005 -Refer to Exhibit 5.2. Calculate a price weighted average for January 13th.

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B

Which of the following is true of the various market index series?

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A

Which index is created by first deriving the initial total market value of all stocks used in the index?

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D

A price-weighted index such as the DJIA is a geometric mean of current stock prices.

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Exhibit 5.6 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Price Stock Number of Shares Day T Day T + 1 Q 5,000,000 80 95 R 8,000,000 60 55 S 15,000,000 20 24 -Refer to Exhibit 5.6. If an equal-weighted index is constructed on Day T with $10,000 in each stock, what is the percentage change in wealth for this index on Day T + 1? Assume a base index value of 100 on Day T.

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Exhibit 5.5 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stock 31-Dec-03 Price 31-Dec-03 Shares 31-Dec-04 Price 31-Dec-04 Shares W \ 75.00 10000 \ 50.00 20000 X \ 150.00 5000 \ 65.00 10000 Y \ 25.00 20000 \ 35.00 20000 Z \ 40.00 25000 \ 50.00 25000 Stocks W and X had 2 for 1 splits after the close on Dec 31, 2003. -Refer to Exhibit 5.5. Calculate the percentage return in the unweighted index (geometric mean) for the period Dec 31, 2003 to Dec 31, 2004. Assume a base index value of 100. Base year is Dec 31, 2003.

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Exhibit 5.5 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stock 31-Dec-03 Price 31-Dec-03 Shares 31-Dec-04 Price 31-Dec-04 Shares W \ 75.00 10000 \ 50.00 20000 X \ 150.00 5000 \ 65.00 10000 Y \ 25.00 20000 \ 35.00 20000 Z \ 40.00 25000 \ 50.00 25000 Stocks W and X had 2 for 1 splits after the close on Dec 31, 2003. -Refer to Exhibit 5.5. Calculate the percentage return in the price weighted series for the period Dec 31, 2000 to Dec 31, 2004.

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An example of a value weighted stock market indicator series is the

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Exhibit 5.4 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Year \% Price Change for Stock Index 2000 8.0\% 2001 10.0\% 2002 -14.0\% 2003 20.0\% 2004 -10.0\% -Refer to Exhibit 5.4. Calculate the average annual rate of change for this index for the 5 year period using the arithmetic mean.

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The NYSE series should have higher rates of return and risk measures than the AMEX and OTC series.

(True/False)
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A style index created to track ethical funds is known as:

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The Dow Jones Industrial Average is a value weighted average.

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A price weighted series is disproportionately influenced by larger capitalization companies.

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A value weighted index automatically adjusts for stock splits.

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Which of the following is not a global equity indicator series?

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Exhibit 5.5 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stock 31-Dec-03 Price 31-Dec-03 Shares 31-Dec-04 Price 31-Dec-04 Shares W \ 75.00 10000 \ 50.00 20000 X \ 150.00 5000 \ 65.00 10000 Y \ 25.00 20000 \ 35.00 20000 Z \ 40.00 25000 \ 50.00 25000 Stocks W and X had 2 for 1 splits after the close on Dec 31, 2003. -Refer to Exhibit 5.5. Calculate the unweighted index (geometric mean) for Dec 31, 2004. Assume a base index value of 100. The base year is Dec 31, 2003.

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Exhibit 5.2 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Stock Price \# Shares Jan. 13,2005 20 40 30 1000 2000 100 Jan. 14,2005 25 42 18 1000 2000 2000 Jan. 15,2005 27 45 8 1000** 2000 2000 Jan. 16,2005 20 40 10 3000 2000 2000 *2:1 Split on Stock Z after Close on Jan. 13, 2005 **3:1 Split on Stock X after Close on Jan. 15, 2005 The base date for index calculations is January 13, 2005 -Refer to Exhibit 5.2. Calculate a price weighed average for January 15th.

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To solve comparability problems across countries, global equity indexes with consistent sample selection, weighting and computational procedure have been developed.

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Exhibit 5.1 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Companies Number of shares outstanding Closing Prices Day T (per share) Day + 1 2,000 \ 30.00 \ 25.00 2 7,000 55.00 60.00 3 5,000 20.00 25.00 4 4,000 40.00 45.00 -Refer to Exhibit 5.1. Compute an unweighted price indicator series, using geometric means. What is the percentage change in the index from Day T to Day T+1? Assume a base index value of 100 on Day T.

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Exhibit 5.4 USE THE INFORMATION BELOW FOR THE FOLLOWING PROBLEM(S) Year \% Price Change for Stock Index 2000 8.0\% 2001 10.0\% 2002 -14.0\% 2003 20.0\% 2004 -10.0\% -Refer to Exhibit 5.4. Calculate the average annual rate of change for this index for the 5 year period using the geometric mean.

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