Perpetuity

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Revision as of 15:34, 16 August 2017 by imported>Doug Williamson (Added additional broader definition. Source http://www.investopedia.com/terms/p/perpetuity.asp.)
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1.

An infinite amount of time, usually a constant stream of cash flows with no end.


2. Fixed perpetuities

A fixed perpetuity is a periodic cash flow starting one period in the future, then carrying on for ever - ‘in perpetuity’.

Each cash flow is an equal fixed amount.

The present value of a fixed perpetuity is calculated - assuming a constant periodic cost of capital (r) for all periods from now to infinity - as:

Present Value = A1 x 1/r


where:

A1 = Time 1 cash flow

r = periodic cost of capital


3. Growing perpetuities

For a growing perpetuity, the present value formula is modified to take account of the constant periodic growth rate from one period in the future to infinity, as follows:

Present Value = A1 x 1 / (r - g)

where g = the periodic rate of growth of the cash flow.


The growing perpetuity concept is applied in many contexts.

For example, the Dividend growth model for share valuation.


See also