Calculator Inputs
Example Data Table
| Payment | Rate % | Payments/Year | Years | Defer Years | Timing | Immediate PV | Deferred PV | Immediate FV at Common Horizon | Deferred FV at Common Horizon |
|---|---|---|---|---|---|---|---|---|---|
| 1,000.00 | 6.00 | 12 | 10.00 | 5.00 | Ordinary | 90,073.45 | 66,777.95 | 221,048.68 | 163,879.35 |
| 1,500.00 | 5.00 | 4 | 15.00 | 3.00 | Due | 63,840.04 | 54,998.74 | 156,147.64 | 134,522.53 |
| 750.00 | 7.25 | 12 | 20.00 | 8.00 | Ordinary | 94,891.55 | 53,222.42 | 718,112.99 | 402,772.54 |
Formula Used
Periodic rate: i = annual rate / payments per year
Total payments: n = payment years × payments per year
Deferment periods: m = deferment years × payments per year
Immediate ordinary annuity present value: PV = PMT × [1 - (1 + i)-n] / i
Immediate ordinary annuity future value: FV = PMT × [(1 + i)n - 1] / i
Annuity due adjustment: multiply the ordinary annuity value by (1 + i)
Deferred annuity present value today: Deferred PV = Immediate PV / (1 + i)m
Immediate annuity future value at the common horizon: Immediate FV common = Immediate FV end × (1 + i)m
Deferred annuity future value at the common horizon: same stream value at the end of the deferred payout schedule
Zero-rate case: values reduce to payment amount × number of payments
How to Use This Calculator
- Enter the payment amount made or received in each period.
- Add the annual interest rate and choose how many payments happen each year.
- Enter the number of payment years for the annuity stream.
- Enter deferment years to delay the deferred annuity start.
- Select ordinary for end-of-period payments or due for start-of-period payments.
- Press the compare button to view present value, future value, timing, and difference outputs.
- Use the export buttons to save the current report as CSV or PDF.
Deferred vs Immediate Annuity Guide
What this calculator compares
Deferred vs immediate annuity calculations help compare income timing and investment growth. An immediate annuity starts payments now. A deferred annuity starts later. That timing shift changes present value, future value, and planning flexibility for savings, pensions, and retirement income analysis.
Why payment timing matters
Time strongly affects annuity value. Money available today is usually worth more than money received later. An immediate annuity has no waiting period. A deferred annuity has a delay. Because of that delay, its value today is discounted across the deferment period.
How the calculator works
This calculator uses the payment amount, annual interest rate, payment frequency, payment years, and deferment years. It also lets you choose ordinary timing or due timing. Ordinary means payments happen at the end of each period. Due means payments happen at the start of each period.
Present value and future value
Present value shows what the annuity stream is worth today. Future value shows what the stream grows to by a chosen horizon. For clear comparison, this page uses the end of the deferred annuity stream as the common future horizon. That gives a more direct comparison between the two choices.
When an immediate annuity may fit better
An immediate annuity may suit users who need income soon. It can support retirement cash flow, pension bridging, or near-term budget needs. Since payments begin earlier, the present value is usually higher than an otherwise similar deferred annuity.
When a deferred annuity may fit better
A deferred annuity may fit long-term planning goals. It allows a waiting period before payouts begin. That can match retirement dates, education funding plans, or later income targets. The delay often lowers present value today, but it may still fit a future income strategy.
How to read the comparison
Focus on total contributions, present value difference, and future value difference. Then review first-payment timing. Together, these outputs show how deferral changes value, cash flow timing, and accumulated growth. Use the table and export tools to document assumptions and compare scenarios faster.
FAQs
1. What is the main difference between deferred and immediate annuities?
An immediate annuity starts payments right away. A deferred annuity starts after a waiting period. That delay changes present value, timing, and comparison results.
2. Why is the deferred annuity present value usually lower?
Its cash flows arrive later. Later cash flows are discounted more heavily when valued today. That usually makes deferred present value lower than an equal immediate stream.
3. What does ordinary payment timing mean?
Ordinary timing means each payment happens at the end of a period. Monthly ordinary payments arrive at month end. Quarterly ordinary payments arrive at quarter end.
4. What does due payment timing mean?
Due timing means each payment happens at the start of a period. Because payments arrive earlier, annuity due values are usually higher than ordinary annuity values.
5. Why does the calculator use a common future horizon?
A common horizon gives a fairer future value comparison. It measures both options at the end of the deferred payout schedule rather than at two different dates.
6. Can I use zero interest in this calculator?
Yes. When the rate is zero, present value and future value reduce to simple payment totals. The calculator handles that case directly.
7. How should I choose payments per year?
Match the actual payment schedule. Use 12 for monthly, 4 for quarterly, 2 for semiannual, and 1 for annual payments. Consistency improves accuracy.
8. Is this calculator useful for retirement planning?
Yes. It helps compare payout timing, growth assumptions, and value differences. It is useful for retirement income planning, pension analysis, and savings strategy reviews.