Perpetuity Calculator

Calculate the present value of a perpetuity - an infinite stream of periodic payments.

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Important Financial Disclaimer

This calculator provides estimates based on standard financial formulas from verified references. Results are for informational and educational purposes only and should not be considered as professional financial, investment, or tax advice.

For important financial decisions such as loans, investments, mortgages, retirement planning, or tax matters, please consult with qualified financial advisors, certified financial planners, or licensed tax professionals who can review your specific situation.

Calculations may not account for all variables specific to your circumstances, local regulations, or current market conditions. Always verify results and consult professionals before making financial commitments.

Not a substitute for professional financial advice

Perpetuity Details

$10,000
$1,000$5,00,000
5%
1%20%
2%
0%10%

PV of Simple Perpetuity

$200,000

For $10,000 payment at 5% discount

PV Growing Perpetuity
$333,333

2% growth

Payment per Period
$10,000
Effective Yield
5.00%
Multiple of Payment
20.0x

Sensitivity to Discount Rate

RateSimple PVGrowing PV
3%$333,333$1,000,000
4%$250,000$500,000
5%$200,000$333,333
6%$166,667$250,000
7%$142,857$200,000
8%$125,000$166,667
9%$111,111$142,857
10%$100,000$125,000
11%$90,909$111,111
12%$83,333$100,000

Perpetuity Formulas

Simple Perpetuity

PV = PMT / r

Used for preferred stock, consol bonds, and other fixed-payment securities

Growing Perpetuity

PV = PMT / (r - g)

Used for stocks with constant dividend growth (Gordon Growth Model basis)

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