A 28-year-old is saving for a house deposit of $120,000 and already has $35,000. They want to know two things: how long to reach the target saving $1,500 a month, and what monthly amount they need to reach it in exactly 3 years.
1 What this calculator does
Runs in two modes. Time mode: enter savings target, current savings, monthly amount and interest rate to find how many months to reach the goal. Amount mode: enter target and deadline in months to find the required monthly savings. Includes interest earned on existing savings.
2 Formula & professional reasoning
Time mode (months to goal):
Remaining = Target - Current savings
If rate=0: Months = Ceiling(Remaining / Monthly amount)
If rate>0: Months = Ceiling[log(1 + Remaining x r / Monthly) / log(1 + r)]
where r = monthly rate
Amount mode (required monthly saving):
If rate=0: Monthly = Remaining / Months
If rate>0: Monthly = Remaining x r / [(1+r)^Months - 1]
When interest is earned, compounding means each month's savings accumulate interest alongside the balance. The time mode formula is the inverse of the future value of an annuity -- solving for n (number of periods) rather than the future value. The amount mode solves for the regular payment (annuity payment) needed to reach a target future value in a set number of periods. Both assume interest is credited monthly.
3 Worked examples
⚠️ Illustrative example only — not clinical or professional instruction.
Remaining: $120,000 - $35,000 = $85,000 | Months: ceiling(85,000/1,500) = ceiling(56.67)r = 0.045/12 = 0.00375 | Remaining: $85,000 | Months: ceil[log(1+(85,000x0.00375)/1,500)/log(1.00375)] = ceil[log(1.2125)/log(1.00375)]r = 0.00375 | Remaining: $85,000 | Monthly = 85,000 x 0.00375 / [(1.00375)^36 - 1] = 318.75 / [1.1445-1] = 318.75 / 0.14454 Sanity check
5 Common errors
| Error | Cause | Consequence | Fix |
|---|---|---|---|
| Using a nominal return rate without considering inflation | Savings goal is to buy a property whose price may increase faster than the savings rate | Goal appears achievable but the property is more expensive by the time the target is reached | For property deposit goals, model the deposit as a moving target. If property prices grow at 5% and savings earn 4.5%, the deposit required grows faster than savings accumulate. |
| Not accounting for automatic tax on savings account interest | Using gross interest rate without tax impact | Effective after-tax return is lower than the nominal rate | Savings account interest is taxable income in Australia. At 32.5% marginal rate, 5% gross return = 3.38% after-tax return. Use the after-tax rate for accurate projections. |
| Setting a monthly savings target without a buffer for irregular expenses | Assuming perfect monthly savings discipline | Falling behind target every quarter when car registration, rates, vet bills arrive | Build in a 5-10% buffer below your maximum monthly savings capacity. Use the amount mode to calculate the required amount, then set the direct debit for 10% more than that as the target pace. |
| Treating the savings goal as fixed without adjusting as circumstances change | Setting and forgetting the savings plan | A salary increase or windfall could have accelerated the goal significantly | Recalculate the timeline whenever income or expenses change significantly. A pay rise that allows an extra $300/month may cut the timeline by 4-6 months. |
6 Reference & regulatory links
7 Professional workflow
Common tools used alongside this one: