See what income an accumulated annuity can pay. Choose a fixed number of years and get each withdrawal, or enter the withdrawal you need and see how long the balance lasts. You get payment totals, an interest split, and a year-by-year schedule.
Formula
The annual return r is converted to an equivalent rate per payout so every frequency is consistent, while a full year still credits exactly r:
i = (1 + r)^(1 / ppy) − 1
Fix length is the ordinary-annuity payment that empties the account after n = years × ppy withdrawals (the same formula as a loan payment):
PMT = PV × i / (1 − (1 + i)^(−n))
At 0% that is simply PV / n. Fix payment inverts the same identity:
n = −ln(1 − PV × i / PMT) / ln(1 + i)
Duration is n / ppy years. If PMT is no larger than the first period's interest, n is infinite — the account lasts forever.
(1 + i)^ppy = 1 + r.Default $500,000 · 6% · 10 years
| Frequency | Payout | Payments | Total paid | Interest/return |
|---|---|---|---|---|
| Monthly | $5,511.20 | 120 | $661,344.16 | $161,344.16 |
| Quarterly | $16,614.21 | 40 | $664,568.51 | $164,568.51 |
| Annually | $67,933.98 | 10 | $679,339.79 | $179,339.79 |
A $5,000 monthly withdrawal from the same $500,000 at 6% lasts 11.45 years (138 payments totaling $686,817.82).
Examples
Fix length, the default plan
$500,000 starting principal at 6%, paid monthly for 10 years, supports $5,511.20 each month. Year 1 begins at $500,000, credits $28,200.44, and ends at $462,066.02. One hundred twenty payments total $661,344.16, of which $161,344.16 is return.
Same nest egg, $5,000 a month
Keeping the default principal and rate but taking $5,000 every month lasts 11.45 years. The last (partial) year begins at $26,407.39 and ends at $0. Total paid is $686,817.82.
A withdrawal that never depletes the account
$1,000 a month on the default $500,000 at 6% is below the first month's interest, so the balance never falls. The result is forever.