Project end period deposits with accurate compounding logic. See balances, contributions, interest, and totals instantly. Use clean export tools for study, planning, and review.
| Periodic Payment | Annual Rate | Years | Payments Per Year | Compounds Per Year | Starting Balance |
|---|---|---|---|---|---|
| 500.00 | 6.00% | 10 | 12 | 12 | 1,000.00 |
| 250.00 | 5.25% | 8 | 12 | 12 | 0.00 |
| 1,200.00 | 7.10% | 15 | 4 | 12 | 5,000.00 |
This calculator first converts the annual rate into an effective rate for each payment period.
i = (1 + r / m)^(m / p) - 1
Then it applies the ordinary annuity future value formula.
FV_annuity = PMT × [((1 + i)^n - 1) / i]
It also grows any starting balance across the same horizon.
FV_start = PV × (1 + i)^n
Final value is the sum of both parts.
FV_total = FV_annuity + FV_start
Here, r is annual rate, m is compounds per year, p is payments per year, i is effective payment period rate, and n is total payment periods.
A future value of ordinary annuity calculator estimates savings growth from equal deposits made at the end of each period. It helps students, savers, and planners test regular investing patterns. You enter payment size, annual rate, years, payment frequency, compounding frequency, and starting balance. The calculator then returns ending value, total deposits, and interest earned. This simple view turns repeated contributions into a clear long range projection.
An ordinary annuity assumes each payment happens after a period ends. Many savings plans follow this pattern. Monthly investing often uses this timing. Because deposits arrive later, they compound for fewer periods than an annuity due deposit. That difference matters over time. Longer terms make timing more important. This calculator shows that effect without forcing manual formulas or repeated spreadsheet work.
Payment amount is usually the strongest growth driver. Larger deposits build balance faster. Interest rate matters because compounding multiplies returns on earlier amounts. The number of years expands both deposits and earned growth. Payment frequency changes how often money enters the account. Compounding frequency changes how often interest is credited. Starting balance gives existing funds more time to grow. Together, these variables create a practical estimate for study tasks, budgeting, and basic savings analysis.
The ending balance shows the projected value at the final point. Total contributions show how much money you added yourself. Interest earned shows growth produced by time and rate. The yearly schedule helps you track progress. It also supports comparison between scenarios. You can test faster deposits, slower terms, or different rates. That makes the calculator useful for classroom examples, planning sessions, and quick financial checks.
Try several combinations before making a savings decision. Small changes can produce very different outcomes. Review the schedule carefully, not only the final value. A bigger payment may matter more than a small rate increase. A longer timeline can sharply improve compounding results. Export the report when you need records for notes, reviews, or client discussions. Clear inputs and outputs support better financial understanding each day.
An ordinary annuity is a series of equal payments made at the end of each period. Savings deposits, rent payments, and loan models often use this timing rule.
An annuity due places each payment at the start of the period. That gives every deposit one extra period of growth. Its future value is usually higher.
Payment frequency changes how often you add money. More frequent deposits usually improve growth because funds enter earlier and gain more compounding opportunities across the full term.
Compounding frequency controls how often interest is added to the balance. More frequent compounding can slightly increase growth because interest starts earning interest sooner.
Yes. When the rate is zero, the future value becomes the sum of your starting balance and all periodic deposits. No interest is added.
Starting balance is money already saved before new periodic deposits begin. The calculator compounds that amount through the full timeline together with later contributions.
Differences often come from rounding, payment timing, or mismatched compounding assumptions. This page uses end of period deposits and an effective rate for each payment period.
Students, teachers, planners, and savers can all use it. It works well for homework, quick checks, contribution planning, and basic long term growth comparisons.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.