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Time Value of Money
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Perpetuities

Perpetuity is a cash flow without a fixed time horizon. For example if someone were promised that they would receive a cash flow of $400 per year until they died, that would be a perpetuity. To find the present value of a perpetuity, simply take the annual return in dollars and divide it by the appropriate discount rate.

To illustrate this:

If someone were promised a cash flow of $400 per year until they died and they could earn 6% on other investments of similar quality, in present value terms the perpetuity would be worth $6,666.67.
 
( $400 / .06 = $6,666.67 )

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This overview was developed by Dr. Sharon Garrison.
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