Quantus Tools

Periodic Withdrawals Calculator

Periodic withdrawals

Decumulation from a balance you already hold. Each period: withdraw, then grow the remaining balance.

What do you want to know?
Balance and return
Treated as an effective annual rate. The period rate is its exact root, so the periods compound back to this figure — it is not simply divided.
Withdrawals
Beginning: withdraw, then the remainder grows. End: the balance grows, then you withdraw. The difference is small each period and material over a lifetime.
Applied at the start of each subsequent withdrawal year. Use it to model inflation-linked spending or any other planned rise — it is your assumption, not a published index.
Purchasing power and sensitivity
Used only to restate figures in today's money. It never changes the withdrawal — that is the annual increase above.
The balance lasts
29 years 5 months

$750,000 paying $3,000 monthly, rising 2.50% a year, runs out during year 30 — withdrawal 353 of the schedule.

Initial withdrawal$3,000$36,000 in year one
Year-one withdrawal rate4.80%Annualised year-one withdrawal ÷ starting balance
Final modeled withdrawal$2,203.06Partial — the schedule called for $6,139
Total withdrawn$1,533,587353 withdrawals
Growth while drawing down$783,587
Ending balance$0Exhausted

Depletion. The balance reaches zero at withdrawal 353, during year 30. The last payment is partial: $2,203.06 instead of the scheduled $6,139.

Where the money you withdrew came from
  • Starting balance drawn down: $750,000 (48.9%)
  • Growth earned while drawing down: $783,587 (51.1%)

A constant return is an arithmetic assumption, not a forecast. A portfolio that averages 5.00% with volatility can fail a plan that a smooth 5.00% survives, because withdrawals taken during a fall permanently remove capital that never recovers. Sequence-of-returns risk is not modelled here.

How long the balance lasts under different assumptions (return ±2 points, increase ±2.5 points)
Annual increase ↓ / Return →3% return5% return7% return
0% increase32 years 4 monthsOver 100 yearsOver 100 years
Selected increase (2.5%)22 years 3 months29 years 5 months54 years 6 months
5% increase17 years 11 months21 years 4 months27 years 3 months

Each cell is how long the balance lasts at that pair of assumptions. "Over 100 years" means the deterministic model does not exhaust it inside the calculation horizon.

Scroll the table sideways on a narrow screen to see every column.

Year-by-year drawdown
YearScheduled monthly withdrawalStarting balanceWithdrawnGrowthEnding balanceEnding balance (real)
1$3,000$750,000$36,000$36,532$750,532$732,227
2$3,075$750,532$36,900$36,535$750,167$714,020
3$3,152$750,167$37,823$36,492$748,836$695,369
4$3,231$748,836$38,768$36,400$746,468$676,263
5$3,311$746,468$39,737$36,255$742,986$656,691
6$3,394$742,986$40,731$36,054$738,309$636,642
7$3,479$738,309$41,749$35,793$732,354$616,104
8$3,566$732,354$42,793$35,467$725,028$595,064
9$3,655$725,028$43,863$35,072$716,238$573,512
10$3,747$716,238$44,959$34,603$705,882$551,434
11$3,840$705,882$46,083$34,055$693,855$528,818
12$3,936$693,855$47,235$33,423$680,042$505,650
13$4,035$680,042$48,416$32,701$664,327$481,916
14$4,136$664,327$49,626$31,882$646,583$457,604
15$4,239$646,583$50,867$30,962$626,678$432,699
16$4,345$626,678$52,139$29,932$604,471$407,187
17$4,454$604,471$53,442$28,787$579,816$381,052
18$4,565$579,816$54,778$27,518$552,556$354,280
19$4,679$552,556$56,148$26,118$522,527$326,855
20$4,796$522,527$57,551$24,579$489,555$298,761
21$4,916$489,555$58,990$22,892$453,456$269,982
22$5,039$453,456$60,465$21,047$414,039$240,501
23$5,165$414,039$61,977$19,036$371,098$210,300
24$5,294$371,098$63,526$16,847$324,420$179,364
25$5,426$324,420$65,114$14,471$273,776$147,672
26$5,562$273,776$66,742$11,895$218,929$115,208
27$5,701$218,929$68,411$9,107$159,626$81,952
28$5,843$159,626$70,121$6,096$95,601$47,885
29$5,989$95,601$71,874$2,848$26,575$12,986
30$6,139$26,575$26,760$185$0$0

The schedule stops at depletion or at the end of the run, whichever comes first. Every headline figure above is a total of these rows.

Scroll the table sideways on a narrow screen to see every column.

Withdrawal-by-withdrawal schedule (353 periods)
First 12 and last 12 withdrawals (329 rows between them not shown)
#YearStarting balanceGrowthWithdrawalEnding balance
11$750,000$3,043$3,000.00$750,043
21$750,043$3,044$3,000.00$750,087
31$750,087$3,044$3,000.00$750,131
41$750,131$3,044$3,000.00$750,175
51$750,175$3,044$3,000.00$750,219
61$750,219$3,044$3,000.00$750,263
71$750,263$3,044$3,000.00$750,307
81$750,307$3,045$3,000.00$750,352
91$750,352$3,045$3,000.00$750,397
101$750,397$3,045$3,000.00$750,442
111$750,442$3,045$3,000.00$750,487
121$750,487$3,045$3,000.00$750,532
34229$67,249$250$5,989.49$61,509
34329$61,509$226$5,989.49$55,746
34429$55,746$203$5,989.49$49,959
34529$49,959$179$5,989.49$44,149
34629$44,149$155$5,989.49$38,315
34729$38,315$132$5,989.49$32,457
34829$32,457$108$5,989.49$26,575
34930$26,575$83$6,139.22$20,519
35030$20,519$59$6,139.22$14,439
35130$14,439$34$6,139.22$8,333
35230$8,333$9$6,139.22$2,203
35330$2,203$0$2,203.06 (partial)$0

Beginning-of-period timing: the withdrawal is taken first, then the remaining balance grows.

Scroll the table sideways on a narrow screen to see every column.