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Future Value of Annuity

FV of regular annuity payments

Annuity Future Value

$
%
yrs

The future value of an annuity is the total value at a future date of a series of equal periodic payments invested at a fixed rate. Used to project retirement account balances, savings plan outcomes, and investment portfolio growth.

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Tip: Max out tax-advantaged accounts first (401k, IRA, Roth IRA) before taxable accounts. The tax savings compound alongside your investment returns, dramatically increasing your future value.

  1. 1FV (ordinary annuity) = PMT × ((1+r)^n − 1) / r
  2. 2FV (annuity due, paid at start) = FV ordinary × (1+r)
  3. 3PMT = payment per period, r = periodic rate, n = number of periods
  4. 4Payments at the beginning of each period (annuity due) earn one extra period of interest
$500/month at 7%/year for 30 years=$566,765Only $180,000 contributed
$1,000/month at 8%/year for 20 years=$589,020Invested $240,000, gained $349k
Years5% return7% return10% return
10$77,641$86,413$102,422
20$205,518$260,464$382,828
30$415,737$566,765$1,130,243
40$762,567$1,309,272$3,162,039

Fun Fact

If you invest $500/month from age 25 to 65 at 7%, you accumulate ~$1.3 million. If you wait until 35 and invest the same amount, you get only ~$566k — about half, despite investing only $60k less. This is the cost of starting late.

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