How this daily compound interest calculator works
Many bank accounts and savings apps credit interest every day.
This calculator estimates what your balance could be after a chosen time period,
assuming:
- A fixed starting balance today.
- An optional fixed daily deposit added every day.
- A nominal annual interest rate, compounded daily (365 times per year).
The math splits into two parts: growth of the starting balance, and growth of
the daily deposit stream.
Formula for daily compounding (no extra deposits)
If you invest a lump sum P at a nominal annual rate r,
compounded daily, the daily rate is:
Daily rate = r / 365
After N days, the future value (FV) is:
FV = P × (1 + r/365)^N
where:
P = starting balance
r = nominal annual interest rate (as a decimal)
N = number of days invested
Adding daily deposits
If you also add a fixed amount D at the end of every day, the
future value becomes the sum of the grown starting balance and a daily annuity:
FV = P × (1 + r/365)^N
+ D × [((1 + r/365)^N − 1) / (r/365)]
The calculator uses this formula behind the scenes (and a simpler version if
the interest rate is zero). It also tracks how much of the final balance comes
from:
- Your own contributions (starting balance + all daily deposits).
- Interest earned on top.
Example: growing a savings pot with daily interest
Suppose you start with $10,000, earn 4.5% interest
compounded daily, and add $5 per day for 5 years:
- Starting balance = 10,000
- Daily deposit = 5
- Annual rate r = 0.045
- Time = 5 years ≈ 5 × 365 = 1,825 days
Plugging these into the calculator gives a future balance (for illustration)
of roughly:
- Final balance ≈ (computed by the tool)
- Total contributions = 10,000 + 5 × 1,825
- Interest earned = final balance − total contributions
You can then see exactly how much of your growth came from interest versus the
habit of adding a small daily amount.
Effective annual yield for daily compounding
Banks often quote a nominal annual rate but pay interest daily.
The true rate you experience over a year is higher due to compounding. The
relationship is:
Effective annual rate (EAR) = (1 + r/365)^365 − 1
This calculator shows both the nominal rate you enter and the implied effective
annual yield so you can compare accounts that compound annually, monthly or daily.
Common use cases for daily compounding
-
High-yield savings accounts. Many online banks compute
interest on your closing balance every day and credit it monthly.
-
Money market and cash management accounts. Daily accruals
help smooth out returns.
-
Sinking funds. Building up money for taxes, insurance or
big purchases using a daily savings habit.
-
Short-term goals. Emergency funds or travel savings where
every bit of interest helps.
Frequently asked questions
Does this calculator assume 365 or 360 days per year?
It uses 365 days per year for daily compounding. Some
financial institutions use other conventions, but 365 is standard for personal
savings comparisons.
Can the daily deposit be negative?
In real life, a negative daily deposit would mean daily withdrawals. This
version assumes a non-negative daily deposit; if you enter a negative value,
it is treated as zero to keep the focus on saving rather than drawing down.
Are weekends and holidays treated differently?
No. For simplicity, the calculator counts every calendar day the same. Many
banks also use this approach and accrue interest on balances even on non-business days.
Does the result include tax or inflation?
No. The values are in nominal terms. To understand your real return, you would
need to factor in taxes on interest and the effect of inflation separately.