Future Value of Annuity Calculator (Ordinary vs Due)

Future Value of Annuity Calculator

Project what a stream of equal deposits grows into over time. Compare ordinary end-of-period timing against annuity due, add an annual raise, and see contributions versus compound interest in a full year-by-year schedule.

🎯Real Annuity Presets

📝Annuity Inputs

The equal deposit you add each period.

Compounding matches this deposit frequency.

Raises each year's deposit. Leave 0 for a level annuity.

Set a target to check progress. 0 hides the goal line.

Future value $0 balance at end of term
Total contributions $0 sum of all deposits
Interest earned $0 future value minus deposits
Due vs ordinary 0 extra gain from due timing

🔱Formula Snapshot

$0PMT per period
0%Periodic rate i
0Total periods N
0Annuity factor

📊Year-by-Year Growth

YearDeposits This YearPayments To DateInterest To DateEnd Balance
Enter values above to build the yearly growth schedule.

⚖Ordinary vs Annuity Due

MeasureOrdinary (End)Annuity Due (Start)Difference
The timing comparison appears after calculation.

📈Rate Impact At Your PMT

Annual RatePeriodic iContributionsInterestFuture Value
The rate sensitivity table appears after calculation.

🗂Annuity Factor Reference

Periods N2% Factor4% Factor6% Factor8% Factor10% Factor
55.20405.41635.63715.86666.1051
1010.949712.006113.180814.486615.9374
1517.293420.023623.276027.152131.7725
2024.297429.778136.785645.762057.2750
2532.030341.645954.864573.105998.3471
3040.568156.084979.0582113.2832164.4940
4060.402095.0255154.7620259.0565442.5926

Ordinary annuity factor is ((1+i)^N – 1) / i using the per-period rate i. Multiply by PMT for future value; multiply again by (1+i) for annuity due.

⚙Full Formula Breakdown

Periodic ratei = annual rate / 100 / periods per year. A 7% annual rate with monthly deposits gives i = 0.0058333 per month.
Total periodsN = years × periods per year. Twenty years of monthly deposits is N = 240 periods.
Ordinary FVFV = PMT × (((1+i)^N – 1) / i). Deposits are assumed to land at the end of each period.
Annuity due FVFV_due = FV_ordinary × (1+i). Each start-of-period deposit earns one extra period of growth.
Zero rate caseIf i = 0 there is no growth, so FV = PMT × N. The result equals total contributions.
ContributionsTotal contributions = PMT × N for a level annuity. Interest earned = future value – contributions.
Annual increaseWith a yearly raise g, the deposit steps up each year, so the schedule is simulated period by period instead of one closed formula.

📋Input Reference Values

InputCommon RangeHow It Is UsedEffect On Future Value
Payment (PMT)$50 to $2,000Multiplies the annuity factorScales future value directly
Frequency1 to 52 per yearSets periods and periodic rateMore periods smooths growth
Annual rate2% to 10%Divided into per-period iCompounds interest each period
Years3 to 40Multiplies periods per yearLonger terms boost interest share
TimingOrdinary or dueDue multiplies FV by (1+i)Due adds one period of growth
Annual increase0% to 6%Steps up deposits each yearRaises both deposits and interest

💡Practical Annuity Tips

Timing tip: An annuity due always beats an ordinary annuity of the same size because every deposit sits invested one extra period. The whole balance is simply multiplied by (1+i).
Interest share tip: Early on, most of the balance is your own deposits. As years pass the interest earned line grows faster than contributions, which is the real payoff of starting sooner.

How much time does your money spend in the market? When will you pull it out? Where your money lives determine financial freedom.

Making consistent deposits over time is called an “annuity.” But math is counterintuitive. Most people focus on how much they save each month while ignoring the invisible force of compound interest that multiplies those savings. People think: “I’ll save $X each month.” They ignore compounding interest, which multiplies those savings.

How to Make Your Money Grow with Annuities

The calculator above let you toggle between annuities due and ordinary annuities. That toggle adjusts whether you make your deposits just before interest compounds or right at the moment it compounds. This handles the tricky math, so you can see precisely where your balance originate without spreadsheeting.

The first variable which trips people up is timing. An ordinary annuity means you’re making your deposit at the end of each period (i.e., it’s a paycheck deposited on Friday). An annuity due means you’re paying at the start, so that money has an additional period to gain interest before the next cycle begin. That’s simply the ordinary future value times one plus the periodic rate and it appears small. But over a span of two decades, that extra period of growth add up to a meaningful difference in your eventual balance. In other words, you’re receiving a free month of compounding for every single contribution that would otherwise sit idle until the end of the month.

It’s an engine driven by the annual interest rate, which you must calculate properly: The calculator take your annual percentage and divides it by how many times a year it happens. If the annual rate is seven percent and you make monthly deposits, then you’re earning roughly half a percent of interest each month on a ten thousand dollar balance. But you aren’t earning it once a year; you’re earning it every month. So each subsequent month’s interest payment is based off a slightly higher principal amount than the last. That’s what “compounding” means, and that’s also why the earlier you start saving, the better, even if it’s only a small sum. Make a humble deposit two decades ago and you’ll often beat making a huge deposit five years from now, simply due to all the extra time you gave the compound-interest curve to rise.

But here’s another reason why we should include an annual increase: most of us don’t take inflation into account when we make our contributions! Over time, both your salary, and how much money you’re able to save, tends to increase in the real world. If you leave that blank at zero, it means you assume you’ll continue to save the same number of raw dollars throughout your life (which gets more excruciating as prices creep upward). By adding a tiny bit of a bump to your contribution every year, you’ll mimic a cost of living adjustment for your saving habit. This maintains your purchasing power and allows compound interest to do its magic on a steadily increasing principal base.

To get an idea of what this annuity factor means, take a look at the table of references in the calculator. This is how many times your one-time periodic payment will be multiplied across the whole term. With a conservative return of two percent, that figure rises gradualy. Push it up to ten percent and hold it there for four decades and the factor grows into the hundreds. It is not a misprint. This shows the power of time in the market (as opposed to timing the market).

The calculations are simple enough, though relationship between rate, duration and frequency produces counter-intuitive results. Your goal is to watch that line creep across the contribution line which is a milestone you should track. That’s when interest earned exceeds your total contributions. At that point, your account starts to feed itself (more) than you. It’s a change that typically occurs later in long term plans, which also reinforces why patience pays. Don’t confuse flat growth early on with lack of success. It resembles a hockey stick laying on the ice
 Only it doesn’t start rising up off the ice until much later. Your task is to keep pushing the puck until it does.

But remember: the final dollar amount should never be taken as a sure-fire indicator that your golden years are covered. Over time, inflation will nibble away at its purchasing power. It’s a goal (not a pledge). Use the calculator for your current life and pull out a figure that feels right to you, and then pad it a bit just in case.

That’s where annuities shine. They’re reliable; they force you to get disciplined. And once you get into this routine of savings, the math kicks in and produces exponential results. Nail down your pace, trust in the system and let time take care of the rest. Watch your savings grow
 Because all those compound interest gains you earned early on pay off big when you no longer think twice about it.

Future Value of Annuity Calculator (Ordinary vs Due)