Lottery Annuity Calculator

For a graduated stream this is the first payment; later ones grow by the escalation rate.
The premium paid, settlement offered or account value. Used when solving for the payment, the term or the rate.
Nominal annual rate, compounded at the payment frequency.
Not used when you are solving for the number of periods.
Present value
451,543,500.00
Annuity Calculator
Future value
1,951,544,986.87
Payment each period
15,051,450.00
First payment
15,051,450.00
Final payment
61,953,809.11
Total of all payments
1,000,000,991.25
Number of payments
30.0000
Implied annual rate
5.000000 %
Interest content of the stream
548,457,491.25
Worked out from Annuity identities PV = PMT[1-(1+i)^-n]/i and FV = PMT[(1+i)^n-1]/i, with the annuity-due factor (1+i) and 2 other sources.
Life contingencies, insurer fees, surrender charges and tax are not modelled; this is the value of the payment stream itself.
This values a payment stream under the assumptions you enter. It is not a quote: a real annuity contract prices mortality, insurer fees, surrender charges, guarantees and tax, and a structured-settlement transfer needs court approval. Take the figures to a qualified adviser before acting on them.

How this is worked out

5 steps
  1. Rate per period = 5% / 1 = 5%
  2. Payments start at 15051450 and grow 5% a year, ending at 61953809.11
  3. Present value = 451543500
  4. Value at the end of the term = 1951544986.87
  5. Total of all payments = 1000000991.25

Results are general information, not financial, tax, legal, medical or engineering advice.