Finance & Interest
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Perpetuity

Present value of an infinite constant cash flow.

Formula

PV=CrPV = \frac{C}{r}

Variables

CCash flow per period
rDiscount rate

Example

A bond paying $50/year forever, discounted at 5%, is worth 50/0.05 = $1000.

Did You Know?

A perpetuity pays forever, yet has a finite value — Britain once issued such never-maturing bonds called consols.