How this savings growth calculator works
Many savings tools focus only on a single lump-sum deposit. In real life,
most people build savings with a mix of an initial amount and
regular contributions from their paycheque. This
calculator models both pieces together.
It treats the APY you enter as an effective annual rate
that already includes compounding. From that APY, the calculator derives
an equivalent monthly growth rate and applies it to each month in your
saving period.
The basic idea is:
APY = effective annual yield (decimal)
rₘ = (1 + APY)^(1/12) − 1 (monthly rate)
N = number of months
Balance₀ = starting balance
Balanceₙ = (Balanceₙ₋₁ × (1 + rₘ)) + monthly contribution
Repeating this step N times produces the final balance. The calculator
also tracks how much you contributed along the way so it can show how
much of your ending balance is your own deposits versus
interest earned.
Example: saving for a house deposit
Imagine the following savings plan:
- Starting balance: $2,500.
- Monthly contribution: $400.
- APY: 4.5% (0.045 as a decimal).
- Saving period: 8 years.
Enter those numbers into the calculator. The tool will show a final
balance in the region of tens of thousands of dollars, along with a
breakdown of:
- How much you personally contributed over the 8 years.
- How much extra came from interest and compounding.
- The percentage of your final balance that is “free growth”.
You can experiment with slightly higher APYs, longer saving periods or
bigger monthly contributions to see how quickly your target becomes
realistic.
Why APY is more useful than nominal interest rate
Banks sometimes quote a nominal rate such as “4% compounded monthly”.
That rate does not yet include the benefit of compounding during the
year. APY (annual percentage yield) goes one step further and tells you
the actual yearly growth of your money after all the
compounding effects are taken into account.
Using APY in a savings growth calculator makes it easier to compare
different accounts — one might compound daily and another monthly, but
their APYs can be compared directly.
Tips for planning your savings with this calculator
-
Start with the APY from your current savings account, then try 1–2%
lower for a conservative scenario and 1–2% higher for an optimistic
scenario.
-
Increase the monthly contribution in small steps to see how much
faster you can hit a specific goal such as a deposit, tuition or
emergency fund.
-
Remember that interest rates can change over time. Revisit your
assumptions if your bank adjusts its APY.
-
For investments with higher risk (like stock index funds), you may
want to test a wider range of possible APYs to understand best-,
base- and worst-case outcomes.
Frequently asked questions
Can I set the monthly contribution to zero?
Yes. If you simply want a lump-sum compound interest
calculator, set the monthly contribution to 0. The calculator
will then show how your starting balance grows at the chosen APY.
Why doesn’t the calculator include taxes or inflation?
Tax rules and inflation rates vary by country and over time, so they are
not built into the maths. To approximate their effect, many people
choose a smaller APY that reflects their expected after-tax, after-inflation
return.
Is my result guaranteed?
No. APY on savings accounts can move up or down, and market-based
investments fluctuate in value. The calculator is a planning tool that
shows what would happen if the APY remained constant over your chosen
time period.