Lottery Annuity Payout Calculator
Split the advertised jackpot into 30 growing annual payments to see the first, last and total payout.
Input Data
Results
At a glance:The Lottery Annuity Payout calculator uses the growing-annuity model to back out the first-year payment from the advertised jackpot, growth rate and periods, then the last payment and total. US Powerball/Mega Millions headline jackpots are the 30-period (≈29-year) annuity total, growing each year (+5% currently). First payment = jackpot × g ÷ ((1+g)^n − 1); period k = first × (1+g)^(k−1); total equals the jackpot. Excludes tax, USD only.
Formula
First payment = jackpot × g ÷ ((1+g)^n − 1), g = growth rate.
Period k payment = first × (1+g)^(k−1).
Total = sum of all periods = advertised jackpot.
$$P_1 = \dfrac{Jackpot \times g}{(1+g)^{n} - 1}$$$$P_k = P_1 \times (1+g)^{k-1}$$How to Use
- Enter the advertised jackpot (annuity total).
- Set the annual growth rate (5% for Powerball/Mega Millions) and number of periods (usually 30).
- View the first-year, last-year and total payout.
US$1,000,000 jackpot, +5% yearly, 30 periods — yearly payout (selected)
| Year | Payout (US$) | Note |
|---|---|---|
| 1 | 15,051.44 | Smallest (≈1.5% of jackpot) |
| 10 | 23,346.15 | Growing at +5% |
| 20 | 38,024.21 | Well above year 1 |
| 30 | 61,953.75 | Largest (≈4× year 1) |
| Total | 1,000,000.00 | Equals advertised jackpot |
Annuity payments are not equal but grow +5% yearly: from ~15k to ~62k, summing exactly to 1m. 'Advertised jackpot ≠ first-year cash'. USD, tax-excluded.
Case Studies
Case 1: The gap between advertised jackpot and first-year payout
Ming sees a US lottery advertise US$1,000,000 and thinks he gets 1m at once. With jackpot 1m, growth 5%, 30 periods: first payment = 1,000,000 × 0.05 ÷ ((1.05)^30 − 1) ≈ US$15,051.44.
Year 30 = 15,051.44 × (1.05)^29 ≈ US$61,953.75, ≈4× year 1; 30 periods sum = 1,000,000 = the advertised jackpot.
Ming learns: the headline is the 30-period growing total, not instant cash; year 1 is far less than the headline.
Case 2: Annuity vs lump-sum cash
If Ming picks lump-sum cash, he gets the 'cash value' — usually 40%–60% of the jackpot, then tax. At a 52% cash factor, pre-tax ≈ 520k; at 40% tax, after-tax ≈ 312k.
Annuity total looks higher (1m, after-tax still ~600k) but over 30 years, year 1 only 15k; lump-sum is immediate but halved then taxed.
Which is better depends on whether you can invest the cash well (return above the annuity's implied 5% growth) and preference for instant vs stable long-term income. Use the Powerball/Mega Millions/lottery-tax calculators for after-tax comparison. HK Mark Six pays once and tax-free — no such 30-period structure.
FAQ
Why is the headline jackpot so big but year 1 so small?
The headline is the annuity total — the sum of 30 payments, not instant cash. Plus each payment grows, so the first is only a small fraction. Lump-sum cash is ~40%–60% of the jackpot, then taxed.
What does +5% yearly growth mean?
Powerball/Mega Millions annuities grow each year by 5% over the prior, so later payments beat inflation and are larger. The 30 periods are not equal but front-light, back-heavy.
Does this include tax; does it apply to HK lotteries?
No tax, USD only, a US-lottery teaching model. HK Mark Six has no 30-period growing annuity; it pays once and is tax-free. For after-tax cash vs annuity, use the lottery tax calculator.
Annuity or lump-sum — how to choose?
No absolute answer; it depends on numbers and personal situation. Numbers: annuity = 30 periods growing +5%, total = headline but over ~29-30 years, year 1 only ~1.5% of jackpot; lump-sum = cash value ~40%–60% of jackpot, both then taxed. The key comparison is the investment return: the annuity's +5% is an 'implied return' — if you can invest the lump-sum steadily above that, lump-sum is theoretically better; if you lack discipline, the annuity's forced stable income is safer. Personal: (1) self-control — lump-sum risks 'blow it/scammed', many winners go broke; (2) age/health — older may prefer lump-sum; (3) tax — lump-sum may hit the top bracket at once, annuity spreads it; (4) inflation/opportunity — annuity +5% but lump-sum gives immediate choice. If disciplined with reliable investing, lean lump-sum; if you value stability and fear losing it, lean annuity. Consult an independent financial/tax adviser for big decisions. This tool only shows numbers, not advice.
Why design US annuities to grow +5% yearly; effect on winners?
The +5% growth (not equal) is deliberate. Reasons: (1) fight inflation — over 29-30 years, fixed payments lose purchasing power; growing +5% compensates so later payments keep real value; (2) it also makes the headline total look bigger. Effects on winners: (1) front-light cash flow — year 1 is only ~1.5%, don't plan life on the final-year amount; (2) very long receipt — a cross-life stable income, but inflexible; (3) cash vs annuity comparison is more complex — must consider time value and your investing ability. Understanding this structure helps plan the annuity income realistically. USD, teaching model, not advice.
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References
Content review: Calculatorism Finance Team. Results are for reference only; please refer to the relevant authorities for the official figures.