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This Problem Demonstrates the Dependence of the Present Value of an Annuity

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This problem demonstrates the dependence of the present value of an annuity on the number of payments. Using 7% compounded annually as the discount rate, calculate the present value of an ordinary annuity paying $1,000 per year for:
a) 5 years b) 10 years c) 20 years d) 30 years e) 100 years f) 1,000 years
Observe that the present value increases with increasing n, but at a diminishing rate. In this case, the 970 payments from Year 30 to Year 1,000 cause the present value to increase by only about 15%.

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Definitions:

RNA Polymerase

An enzyme that catalyzes the synthesis of RNA from a DNA template.

Promoter Sequence

A specific region of DNA where RNA polymerase binds and initiates transcription of the gene.

Redundancy

The duplication of critical components or functions of a system with the intention of increasing reliability of the system.

Genetic Code

The set of rules by which information encoded within genetic material (DNA or mRNA sequences) is translated into proteins by living cells.

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