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Assume the Following Five Companies Are Used in Computing an Index

question 33

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Assume the following five companies are used in computing an index (there have been no stock splits during this time).  Base Period  Current Period  Shares  January 1, 1977  December 31, 2004  Company  Outstanding  Market Price  Market Price  A 2,000$2.00$14.00 B 6,0006.0018.00 C 5,0009.0023.00 D 8,00010.005.00 E 1,00013.0040.00\begin{array}{ccc} && \text { Base Period } & \text { Current Period } \\&\text { Shares } & \text { January 1, 1977 } & \text { December 31, 2004 } \\\text { Company }&\text { Outstanding } & \text { Market Price } & \text { Market Price }\\\hline\text { A } & 2,000 & \$ 2.00 & \$ 14.00 \\\text { B } & 6,000 & 6.00 & 18.00 \\\text { C } & 5,000 & 9.00 & 23.00 \\\text { D } & 8,000 & 10.00 & 5.00 \\\text { E } & 1,000 & 13.00 & 40.00\end{array} (a)If the index is price-weighted,what will be the value of the index on Dec.31,2004?
(b)Using the same data from the above table,determine the index value if the index is calculated on a value-weighted basis.

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Definitions:

Sample Size

The number of observations or replicates included in a sample from a population for the purpose of statistical analysis.

Correlation Coefficient

A numerical measure that quantifies the degree of relationship or dependence between two variables, typically ranging from -1 to 1.

Annual Salary

The amount of money that an individual earns in one year from their employment, excluding additional compensation like bonuses.

Number Of Years

A unit of time measurement that represents the duration or length of an event, often used in contexts such as employment, investment, and research periods.

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