Perpetuity: Difference between revisions

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imported>Doug Williamson
m (Expand to clarify that Time 1 means one period hence.)
imported>P.F.cowdell@shu.ac.uk
m (Categorise the page)
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* [[Perpetuity factor]]
* [[Perpetuity factor]]
* [[Simple annuity]]
* [[Simple annuity]]
[[Category:Debt_Capital_Markets]]
[[Category:Business_Valuation]]
[[Category:Investment_Appraisal]]

Revision as of 19:52, 17 August 2014

1.

A perpetuity is similar to an annuity except that the fixed periodic cash flow which starts at the future Time 1 period hence then carries on for ever (‘in perpetuity’) rather than stopping after Time n.

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


2.

For a growing perpetuity the present value formula is modified to take account of the constant periodic growth rate from Time 1 period hence to infinity as:

Present Value = A1 x 1/[r-g]

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

The growing perpetuity concept is applied by the Dividend growth model for share valuation.


See also