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Security Market Index

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Question 1
Multiple Choice
Confidence Level
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Vertex Capital is reviewing two versions of the same equity benchmark: a price return index and a total return index. Both indices contain identical securities in identical weights. After one month, the portfolio manager notes that the values of the two indices are exactly the same.

Under which condition would the price return index and total return index be equal after one month?

Explanation

A price return index reflects only changes in market prices, whereas a total return index reflects both price changes and income such as dividends or interest. If the securities generate no income during the period, there is no additional return to be reinvested in the total return version. As a result, both index versions will have identical values.

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Question 2
Multiple Choice
Confidence Level
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Summit Benchmark Services launches two versions of the same equal-weighted equity index composed of dividend-paying stocks: a price return version and a total return version. Both indices contain identical securities and identical weights at all times.

Under which circumstance will the values of the price return index and the total return index be equal?

Explanation

At inception, both versions of the index begin with the same base value. After inception, the total return index reflects reinvested dividends, while the price return index reflects only changes in market prices. Because the securities pay dividends, the total return version will diverge from the price return version once income is generated, even on rebalancing or reconstitution dates.

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Question 3
Multiple Choice
Confidence Level
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Which of the following statements best describes security market indexes?

Explanation

Security market indexes are created using defined selection criteria, weighting methods, and rebalancing rules, much like a systematically managed portfolio. Because index construction methodologies differ, they are not interchangeable across all asset classes. Additionally, index values are calculated using the actual market prices of the underlying securities.

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Question 4
Multiple Choice
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When designing a new security market index, what is the first decision an index provider must make?

Explanation

The initial step in creating a security market index is defining the target market. Identifying the market, segment, or asset class determines the investment universe from which securities will be selected. Decisions regarding weighting methods and the number of constituents follow only after the target market has been clearly defined.

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Question 5
Multiple Choice
Confidence Level
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An equal-weighted index consists of three securities: Delta, Echo, and Foxtrot. The following information is observed over a one-period horizon:

Security

Beginning Price ($)

Ending Price ($)

Dividends ($)

Delta

25.00

30.00

1.00

Echo

40.00

38.00

0.50

Foxtrot

35.00

35.00

0.75

What is the price return of the index for the period?

Explanation

For a price return index, only price changes are included.

Delta return = (30 25) / 25 = 20%
Echo return = (38 40) / 40 = 5%
Foxtrot return = (35 35) / 35 = 0%

Because the index is equal-weighted, each security has a weight of one-third.

Index price return = (1/3) (20% 5% + 0%) = 5.0%.

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Question 6
Multiple Choice
Confidence Level
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An equal-weighted index consists of three securities: Atlas, Beacon, and Crest. The following information is observed over a one-period horizon:

Security

Beginning Price ($)

Ending Price ($)

Dividends ($)

Atlas

20

24

2

Beacon

30

33

0

Crest

50

55

5

What is the total return of the index for the period?

Explanation

Total return includes both price changes and dividends.

Atlas return = (24 20 + 2) / 20 = 6 / 20 = 30%
Beacon return = (33 30 + 0) / 30 = 3 / 30 = 10%
Crest return = (55 50 + 5) / 50 = 10 / 50 = 20%

Because the index is equal-weighted, each security has a weight of one-third.

Index total return = (30% + 10% + 20%) / 3 = 60% / 3 = 20%.

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Question 7
Multiple Choice
Confidence Level
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An analyst gathers the following information for a price-weighted index comprised of securities JKL, MNO, and PQR:

Security

Beginning Price ($)

Ending Price ($)

Dividends ($)

JKL

40

44

2

MNO

30

20

1

PQR

10

12

0.50

What is the price return of the index for the period?

Explanation

For a price-weighted index, the return is based on the percentage change in the sum of prices.

Beginning total price = 40 + 30 + 10 = 80
Ending total price = 44 + 20 + 12 = 76

Price return = (76 80) / 80
= 4 / 80
= 5%

Dividends are not included in a price return index calculation.

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Question 8
Multiple Choice
Confidence Level
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In the process of constructing a security market index, defining the target market primarily:

Explanation

Identifying the target market specifies the universe of eligible securities available for inclusion in the index. Once the investment universe is defined, decisions regarding weighting methodology, number of constituents, and rebalancing procedures can be made. The target market itself does not automatically determine a fixed number of securities, nor is it limited to only broadly defined asset classes.

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Question 9
Multiple Choice
Confidence Level
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Which of the following index weighting methodologies requires an adjustment to the index divisor following a stock split?

Explanation

In a price-weighted index, the index level is calculated as the sum of constituent prices divided by a divisor. When a stock split occurs, the price of the affected security declines mechanically even though there is no change in the companys economic value. To prevent the index level from artificially changing, the divisor must be adjusted. In contrast, market-capitalization and equal-weighted indexes do not require divisor adjustments for stock splits because the total market value remains unchanged.

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Question 10
Multiple Choice
Confidence Level
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An index provider calculates both an equal-weighted index and a market-capitalization-weighted index using the same group of securities. Over a given period, the price return of the equal-weighted index is higher than that of the market-capitalization-weighted index.

Which of the following most likely explains this outcome?

Explanation

An equal-weighted index assigns the same weight to every security, regardless of size. In contrast, a market-capitalization-weighted index assigns larger weights to larger companies. If smaller-cap stocks outperform larger-cap stocks, the equal-weighted index will benefit more because it gives relatively greater weight to smaller firms. Stock splits do not affect relative performance, and dividends do not explain differences in price return calculations.

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