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Annuity

Values a stream of equal payments, present or future.

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Result

Annuity — 5.0% · 20y

PrincipalPer monthPer year
$50,000$330$3,960
$100,000$660$7,919
$250,000$1,650$19,799
$300,000$1,980$23,758
$500,000$3,300$39,597
$1,000,000$6,600$79,195

How it works

1Enter your figures
2We apply the formula
3See your result

How to use it

  • Enter Principal.
  • Enter Annual rate %.
  • Enter Years.
  • Enter Payments / year.

The formula

PV of annuity = PMT·[1−(1+r)⁻ⁿ]/r.

Worked example

$500/month for 20 years at 5% has a large present value.

Frequently asked questions

Ordinary vs due?

Payments at period end vs start.

Where is this used?

Pensions, loans and structured settlements.

Tips

  • Time in the market beats timing the market.
  • Reinvest returns to let compounding work.
  • Keep fees low — they compound against you.

Key terms

Compounding
Earning returns on past returns.
CAGR
The smoothed annual growth rate.
Yield
Income as a percent of price.