Online deferred annuity calculator to estimate accumulated value and future payouts from deposits, contributions, deferral years, rates, and payout term.
Deferred Annuity Formula
A deferred annuity first accumulates an initial deposit and recurring contributions. With end-of-period contributions, the value at the end of the deferral period is:
FV = PV * (1 + i)^n + PMT * ((1 + i)^n - 1) / i
If the accumulated value is then paid out in equal end-of-period installments, the payout is:
Payout = FV * j / (1 - (1 + j)^(-k))
Variables:
- FV is the annuity value when the deferral period ends
- PV is the initial deposit
- PMT is the recurring contribution
- i is the accumulation rate per contribution period
- n is the number of accumulation periods
- j is the payout-phase rate per payout period
- k is the number of payouts
This fixed-rate model divides each nominal annual rate by that phase’s selected frequency. Compounding and recurring contributions share one frequency during accumulation; payout-phase compounding matches payout frequency. Terms must contain whole periods. The first recurring contribution is one period from now; the first payout is one payout period after deferral ends. At zero rates, FV = PV + PMT × n and payout = FV / k. Actual contracts may credit interest or distribute income differently.
Deferred Annuity Growth Examples
The table assumes a $50,000 initial deposit, $500 end-of-month contributions and nominal annual rates compounded monthly. Values round to the nearest dollar.
| Deferral period | 3% annual rate | 5% annual rate | 7% annual rate |
|---|---|---|---|
| 5 years | $90,404 | $98,171 | $106,678 |
| 10 years | $137,338 | $159,992 | $187,025 |
| 15 years | $191,858 | $239,330 | $300,928 |
| 20 years | $255,189 | $341,149 | $462,400 |
Example Problems
Example 1: Calculate the value at payout age.
You deposit $50,000 now and add $500 monthly for 15 years at 5%.
The initial deposit grows to about $105,685 and the recurring deposits grow to about $133,644, producing an estimated deferred value near $239,330.
Example 2: Convert the deferred value into income.
The $239,330 value is paid monthly for 20 years while earning 4%.
The level monthly payout is approximately $1,450 at a nominal 4% annual payout-phase rate compounded monthly, assuming end-of-month withdrawals and a zero balance after the final unrounded payment. This is a fixed-term illustration, not an insurer payout quote.
Frequently Asked Questions
What does the deferral period mean?
It is the time between funding the annuity and beginning withdrawals. Earnings generally accumulate during this period, subject to the contract’s crediting method and fees.
Are deferred annuity withdrawals guaranteed?
Guarantees depend on the contract and the insurer’s claims-paying ability. Market-linked or variable values can differ from a level-rate projection.
Does this calculator include surrender charges or taxes?
No. It estimates accumulation and payout mechanics before surrender charges, income taxes, rider costs, and other contract-specific adjustments.
