Calculator
Future Value (Annuity Due)
$438,651.77
Timing Analysis
By depositing at the start of each of the 20 years, every $10,000 contribution earns one extra compounding period. The result compounds to $438,651.77 — a $28,696.84 head start (7.0%) over the end-of-period version, with the same total deposits. Your first deposit alone grows by $28,696.84 because it is working through every single period of the plan.
*Projections assume a constant return and perfectly timed contributions with no taxes or fees. Educational only, not investment advice.
An annuity due is a stream of equal contributions made at the very start of each period, rather than at the end. That single detail — first of the year instead of last — is worth more than most investors realize, because every deposit earns interest through one full additional period. Over a twenty or thirty year plan, the sum of those extra compounding periods becomes a meaningful pile of money, and it costs nothing: the total deposited is identical either way, only the date moves. For US savers this is a real scheduling decision, not a textbook abstraction. IRA contributions for a tax year can be made any time from January 1 of that year through April of the next, so an investor who funds the 2025 IRA in January 2025 gets up to fifteen months more market exposure than one who waits until April 2026. Year-end bonuses deposited on December 31 miss an entire year of growth compared with the same money invested on January 1. This calculator shows the future value of a start-of-period contribution stream, prices the exact dollar head start versus the end-of-period version, and isolates how much the very first deposit grows when it works through every period of the plan — the clearest way to see why 'invest it the moment it lands' beats 'I'll get to it later.'
Start with the ordinary-annuity formula — each payment times one plus r to the power of the periods remaining, summed in closed form. An annuity due takes that exact total and multiplies it by one plus r: the future value of an annuity due equals the ordinary future value times one plus r. That factor is the whole story. Every single payment in the stream sits in the market one period longer, so the entire sum earns exactly one extra period of growth — no new money, just time. With payments at the start of each year for twenty years at 7%, the due version ends roughly 7% larger than the ordinary version: the same deposits, compounded one period further. The advantage grows in dollar terms as the balance grows, even though the percentage edge stays equal to the periodic rate. The first deposit is the most dramatic example: made on day one, it compounds for all twenty periods and can more than triple, while a final deposit made at the end of the plan compounds not at all. If the return is zero, the two schedules produce identical balances, which is the correct sanity check — timing only matters when money can grow while it waits. This tool computes both schedules side by side, so the head start appears as a concrete dollar figure you can weigh against the convenience of waiting.
The annuity-due head start as a percentage equals the periodic return and never more — 7% bigger at a 7% annual rate — but in dollars it compounds alongside the balance, so the number feels much larger late in the plan. On a $500,000 terminal balance, that 7% is $35,000 of money that existed only because the deposit dates moved. When evaluating any 'should I invest this now or later' question, remember that the expected cost of waiting one period is approximately the periodic return on the whole accumulated balance, not just on the latest deposit.
You have until mid-April of the following year to fund an IRA for a given tax year. Fund it on January 1 and the money has fifteen months of run time before the deadline even arrives; fund it on the deadline and it missed the entire prior year. Historically that spread is worth about one equity-market year of return on every contribution. The calendar is the same either way — only the compounding differs — so treat early funding as the default and the deadline extension as emergency slack, not the plan.
Timing within a period is the one market-timing decision with a clean mathematical answer: expected value favors immediate investment, because on any given day the market's expected return from that day forward is positive. Waiting for a dip costs you the drift. Lump sums beat phased entries roughly two-thirds of the time in historical tests for precisely this reason. The annuity-due math is the same logic applied to a repeating stream — every scheduled deposit is a small lump-sum decision, and the start-of-period version wins the same way.
Move automatic transfers to the first business day of each period. Paycheck deductions on the 1st, IRA funding in January, year-end bonus invested the day it clears rather than parked in cash for a month. The calculator's timing advantage shows the aggregate payoff: on a twenty-year, ten-thousand-dollar plan at 7%, moving every deposit from December to January is worth about $28,700 at the finish line.
Flip the timing toggle with your real numbers and read the dollar advantage line. If the head start is large relative to what waiting buys you (a clearer budget picture, a pending expense), invest now. If the money is genuinely needed within the year, the timing calculation doesn't apply — it only prices money that will sit invested for full periods.
When someone offers you end-of-period payments on a plan marketed as 'the same,' run both modes in this calculator and show them the gap. Insurance payouts, structured settlements, and benefit streams all quote periodic payments without specifying timing, and the due-versus-ordinary difference is real money the provider keeps when you accept the later schedule. The breakdown panel quotes both values so the comparison is one click.
Marcus had always funded his IRA in April, right before the deadline. After seeing that a January deposit on his $7,000 annual contribution over 30 years at 8% would finish about $63,000 ahead — just from the extra compounding period per year — he set an automatic January transfer. Same money, same limit, better schedule.
Elena used to park her December bonus in savings and invest it 'after the holidays settle,' usually in February or March. Running her ten-thousand-dollar annual bonus through the calculator as start-of-year versus end-of-year money showed a five-figure gap across her twenty-year horizon. She now invests the bonus the day it posts and treats December spending from her regular budget instead.
Rob was offered an annual payment stream from a settlement, quoted without timing specified. Modeling it both ways, the start-of-year version ran several percent richer than the end-of-year reading he had assumed. He asked the provider to confirm the payment date and negotiated a small make-up adjustment when the first payment turned out to be month-end — the calculator had priced exactly what was at stake.
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Financial Chaos Analyst
Ivy Sinclair-Wren is a Financial Chaos Analyst covering investing, AI, wealth psychology, and the emotional consequences of opening finance apps during market crashes. Based in Melbourne, she specializes in demystifying the US tax code and helping users navigate the intersection of spreadsheet logic and human irrationality.