How this calculator works
Powerball advertises the jackpot as 30 yearly payments, each 5% larger than the one before. The cash value is what the lottery would need today to buy the investments that fund those payments, and it changes with interest rates. A winner chooses one or the other, not both. This calculator shows the cash value after tax, the full annuity after tax and the payment schedule. It also works out the annual return the annuity implies: the rate at which the after-tax payments, discounted back to today, are worth the after-tax lump sum. If that implied return is lower than what you could reasonably earn by investing the lump sum, the cash option has the edge on pure arithmetic; if it is higher, the annuity is the better mathematical deal. Certainty, spending discipline and tax spreading are separate considerations. Federal tax on a large win is normally the top rate, not the 24% withheld. State tax ranges from zero to about 10%. The odds of winning the jackpot are 1 in 292,201,338.
Formula
Cash value = jackpot x cash share. Net lump sum = cash value x (1 - federal - state). First annuity payment = J(1.05 - 1)/(1.05^30 - 1), and payment k = first x 1.05^(k-1). The implied return r solves sum of net payment_k / (1 + r)^k = net lump sum. Net annuity total = jackpot x (1 - federal - state).
Worked example
A $100,000,000 jackpot with a 50% cash value and 37% federal plus 5% state tax pays a net lump sum of $29,000,000. The annuity starts at $1,505,143.51 and the net total over 30 years is $58,000,000. The implied annual return of the after-tax annuity against the net lump sum is about 4.0%, so the cash option wins only if you can beat that after tax on a comparable risk.
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Frequently asked questions
What are the odds of winning Powerball?
The jackpot odds are 1 in 292,201,338: five white balls from 69 and one Powerball from 26. Lower-tier prizes are much more likely, but the expected return of a ticket is well below its price.
Does the cash value always equal half the jackpot?
No. The cash value depends on interest rates at the time of the draw. It has ranged from roughly 40% to 60% of the advertised jackpot, and the gap widens when rates rise.
Is the annuity guaranteed?
The payments are funded with government securities and are generally secure, though they depend on the lottery continuing to meet its obligations. If the winner dies, the remaining payments pass to the estate or a named beneficiary.
Which choice is better financially?
Compare the implied return on this page with the after-tax return you expect from investing the lump sum. Historically, a diversified portfolio has returned more than the implied annuity rate, but that is not guaranteed, and the annuity removes investment risk.
Can I take part cash and part annuity?
Not normally. Most lotteries require a single choice between the cash value and the annuity. Some states set a deadline of about 60 days, and a few require the choice when the ticket is bought.