FV = current·(1+r)^n + PMT·(((1+r)^n−1)/r) over the months until retirement.
A retirement calculator estimates how much you need to save for retirement and whether your savings plan is on track. It projects how savings grow over your working years and estimates the savings target implied by the annual spending you want in retirement. Like all such tools, it is for education and planning — it illustrates possibilities, not guaranteed outcomes.
Typical questions it answers: "If I want to spend $40,000 a year in retirement, how much should I aim to have saved?" or "If I save $500 a month for thirty years, what might I end up with?"
The calculator combines two simple ideas. First, a savings target can be estimated as: Target = Annual spending ÷ Withdrawal rate. A commonly cited rule of thumb is the 4% rule — withdrawing about 4% of savings per year as a starting illustration for a long retirement. This is only a rough planning shorthand, not financial advice; real sustainable withdrawal rates depend on many personal factors.
Second, savings growth is projected with standard compounding math: regular monthly contributions grow at an assumed annual return over the years until retirement. The calculator then compares projected savings with the target to show a shortfall or surplus.
Both depend on assumptions — the return, the years, and the withdrawal rate — and small changes can move results a great deal, which is why testing several scenarios matters more than any single answer.
In this example, suppose someone wants to spend $40,000 per year in retirement. Using the 4% rule of thumb (a rough planning illustration, not advice), the implied savings target is $40,000 ÷ 0.04 = $1,000,000.
Now suppose the same person saves $500 a month for 30 years with an assumed 7% annual return (assumed for illustration only), giving a projected balance of approximately $610,000. Total contributions are $180,000 ($500 × 360 months); the rest is growth from compounding.
The projected $610,000 falls about $390,000 short of the $1,000,000 target. That is exactly what the calculator is for: it shows the person would need to save more per month, start earlier, or plan for lower retirement spending to close the gap. These are illustrations, not guarantees; real returns fluctuate, and the 4% rule is only a rough shorthand, not a recommendation.
A common rule is 10–15% of income from early in your career; this calculator shows what any monthly amount becomes by retirement.
Compounding needs time — money invested at 25 has twice as long to double and re-double as money invested at 40.