Daily Compound Interest Calculator

See how your savings grow with daily compounding. Enter a starting balance, an annual interest rate, how long you plan to save and an optional daily deposit. The calculator shows your future balance, total interest earned and how much comes from your own contributions.

This is ideal for tracking high-yield savings accounts, money market funds and apps that credit interest every day.

Inputs
Initial amount in the account today.
Optional fixed amount you add every day (can be 0).
%
Nominal yearly rate, compounded daily (365 times per year).
Years
Months (approximate)
Display only — math is unit-agnostic.
Controls how amounts and percentages are shown.
Future balance with daily compounding

Total interest earned

Growth created purely by interest.

Total contributed

Starting balance plus all daily deposits.

Effective annual yield

Equivalent yearly return with daily compounding.

Time span

Approximate years, months and days.

Growth summary

Enter your starting balance, daily deposit and interest rate to see how much your savings can grow with interest applied every day.

  • Starting balance:
  • Daily deposit:
  • Total paid in:
  • Interest share of final balance:

Deposits vs interest

Deposits — 100%
Interest — 0%
Balance over time (daily compounding)
Projected account balance over the saving period

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.