How to calculate investment growth with regular contributions
Take the plan in the answer above: $20,000 to start and $500 added at the end of every month, at 7.00% a year with interest added every month, for 25 years.
- The textbook formula adds two parts: the starting amount at compound interest, P × (1 + r ÷ n)^N, and the deposits, D × ((1 + r ÷ n)^N − 1) ÷ (r ÷ n). P is the starting amount, D each deposit, r the annual rate, n the number of times a year interest is added and N the number of times it is added in all, with one deposit each time. Here N is 300. $20,000 × (1 + 7.00% ÷ 12)^300 + $500 × ((1 + 7.00% ÷ 12)^300 − 1) ÷ (7.00% ÷ 12) = $519,544.21
- This calculator works month by month in whole cents. Each month the balance earns the annual rate divided by twelve, rounded to the cent, and with interest added every month it joins the balance straight away; the $500 deposit follows at the end of the month. In month 1: $20,000 × 7.00% ÷ 12 = $116.67 $20,000 + $116.67 + $500 = $20,616.67
- The same steps repeat on each new balance to the end of the term. After 25 years the balance is $519,544.12, which is $0.09 less than the formula's $519,544.21, because this calculator rounds each month's interest to the cent and the formula never rounds. $519,544.21 − $519,544.12 = $0.09
- Everything above the money paid in, the starting amount and the deposits, is interest. $20,000 + 300 × $500 = $170,000 $519,544.12 − $170,000 = $349,544.12
That is where the final value of $519,544.12 and the $349,544.12 earned on top of the money paid in come from.
Two things drive the answer, and one of them is not the return
An investment projection has three inputs that matter: what you start with, what you add, and what it earns. People spend most of their attention on the third, and for the first decade or so the second one matters more.
The split bar on this page makes that concrete. Early on it is nearly all contributions, because there is little balance to earn anything. The crossover, where growth overtakes everything you have paid in, typically arrives somewhere between year fifteen and year twenty-five at ordinary rates. After that the contributions barely move the needle and the return is doing all the work.
The practical version of that: increasing a monthly contribution is fully under your control and takes effect immediately. Increasing a return is not under your control at all. Move the two fields and see which one changes the answer more over your actual horizon.
What a fixed rate is and is not
This page grows money at the same rate every single month. No real investment does that. A portfolio that averages seven per cent does it by way of years at twenty-five and years at minus fifteen, and the order those arrive in changes the outcome even when the average does not.
That is not a reason to distrust the projection; it is a reason to read it as what it is. A fixed-rate projection is the central case, the thing to plan around, and the right way to use it is to run it three times: at a pessimistic rate, at the one you expect, and at an optimistic one. The spread between those three answers is more informative than any one of them.
It also means the figure has no risk in it. Two investments with the same expected return and very different volatility produce the same number here and very different experiences.
Contributions at the start or the end of the period
The timing field is worth one line of explanation. A contribution made at the start of a month earns that month's interest; one made at the end does not. Over a long horizon this is worth roughly one extra period of growth on every contribution, which is small but free. If your contribution goes out on pay day, it is a start-of-period contribution.
Common questions
What return should I use?
This page will not suggest one, because a number printed on a calculator acquires an authority it has not earned. What it will say is where to look: long-run index returns are published by the index providers themselves, and any fund you are actually considering publishes its own past performance and its ongoing charge. Subtract the charge from whatever return you assume, because the projection here does not.
Does it include fees?
No. A platform fee and a fund charge of one per cent between them turn a seven per cent return into six, and over thirty years that is a large fraction of the final balance. The simplest way to include them is to enter the return you expect minus the fees you pay.
Does it include tax?
No. Investment taxation differs by country, by account wrapper and by whether the gain is realised, and a single field could not represent it honestly. Inside a tax-sheltered account the projection is close to right as it stands.
Why does a longer term change the answer so much more than a higher contribution?
Because the contribution adds money once and the term lets every contribution keep working. That is also the answer to why starting earlier is the most repeated piece of advice in personal finance: it is the one input nobody can increase later.
Is anything I type stored?
No. The calculation runs in your browser, nothing is sent anywhere, and the access log for this site drops the query string.
Sources
There is no official table behind a savings projection. What these documents pin down is the measure this tool deliberately does not compute, the one that folds compounding into a single advertised number:
How these figures are worked out
The balance is built month by month in whole cents rather than from a power formula. Each month earns the annual rate divided by twelve on the balance at that moment, rounded to the nearest cent in a single division, and that interest waits without earning anything itself until the compounding date folds it into the balance. The last month of the term always compounds, so a term that ends part way through a period is still paid what it earned. This is why yearly compounding here does not pay a full year of interest on a deposit made in December, and why the figures can sit a few cents from a textbook formula that rounds only once.
It leaves out tax on interest, fees, inflation and any withdrawal along the way.