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Perpetuity

Principles of Finance glossary · Time Value of Money

Definition

A stream of equal cash flows continuing forever.

Perpetuity in plain English

A perpetuity is a promise to pay the same amount of money every year, forever, with no end date. That sounds like it should be worth infinite money, but it isn't — because a dollar you'll get 50 years from now is barely worth anything to you today, so those far-off payments add up to a surprisingly modest, finite value. Imagine a magic savings account that pays you $100 every year for eternity: it's valuable, but you wouldn't trade a fortune for it, because most of those payments are in a distant future you have to wait ages for. It's a useful building block in finance because "steady payment forever" is simple to value with one clean formula.

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