Month-by-month statement
The table above is the statement: $10,000.00 at 4.00% APY with a $200.00 monthly deposit reaches $25,402.33 after 5 years — $22,000.00 deposited and $3,402.33 of interest. Year-end balances along
the way: $12,843.69, $15,801.12, $18,876.86, $22,075.62, $25,402.33. Without the monthly deposit, the same starting balance and
APY reach $12,166.53 after 5 years.
How savings account interest is calculated
A savings account quoted in APY accrues interest daily and credits it once a month.
Rather than track every single day, this calculator uses the equivalent monthly growth
factor: g = (1 + APY)^(1/12). Each month the balance grows by that factor, and any
deposit lands at month end.
On the default $10,000.00 at 4.00% APY with a $200.00 monthly
deposit: month 1 earns $32.74 in interest and closes at $10,232.74.
Month 2 earns $33.50, closing at $10,466.24, because interest is now
calculated on a slightly larger balance. Month 3 earns $34.26, closing at $10,700.50.
Rate-mode check: a 4.00% nominal rate compounded daily works out to a 4.0808% APY —
switch "Rate type" to "Interest rate + compounding" above to enter a rate this way instead of an APY.
The formula
Balancenext = Balance × (1 + APY)1/12 + Deposit
This applies to accounts quoted in APY with interest credited monthly.
Savings account vs the daily compound interest calculator
This page takes the APY your bank actually advertises, adds a monthly deposit, and
produces a statement — the way a real savings account works. The
daily compound interest calculator
instead takes a nominal rate and a compounding frequency, lets you compare frequencies
side by side, and thinks in terms of years rather than a monthly statement.
Putting money away for a fixed term instead of adding to it every month? The CD calculator
is built for money you will not touch for a fixed term.
FAQ
How do you calculate interest on a savings account that compounds daily? ▼
Most savings accounts accrue interest daily and credit it monthly. The bank turns the annual rate into a daily rate, applies it to each day's balance, and adds the month's total at month end. This calculator does the same thing month by month from the APY you enter: $10,000.00 at 4.00% APY earns $32.74 in the first month, and each later month earns slightly more because the credited interest joins the balance.
Should I enter my account's APY or its interest rate? ▼
Enter the APY if your bank advertises one; that is what the default mode expects. APY already includes daily compounding, so adding a compounding step on top would count it twice. If you only know the nominal rate, switch to "Interest rate + compounding": a 4.00% rate compounded daily works out to a 4.0808% APY.
How much interest does $10,000 earn in a savings account in a year? ▼
At 4.00% APY, $10,000.00 earns $400.00 in twelve months with no further deposits. Add $200.00 at the end of every month and the year closes at $12,843.69, of which $443.69 is interest. The extra $43.69 comes from the deposits compounding from the month they land.
Why does my bank's interest differ from this calculator? ▼
Four common reasons: interest is credited on a statement date rather than at month end, the rate changed during the period, deposits or withdrawals landed mid-month, or the account tiers its rate by balance. The calculator assumes one fixed APY, deposits at month end and no withdrawals, so read it as a close estimate, not a statement forecast.
What is the difference between this and the daily compound interest calculator? ▼
This page is built around how a savings account is quoted and paid: APY in, monthly deposit, month-by-month statement. The daily compound interest calculator takes a nominal rate and a compounding frequency and is the better tool for comparing daily, weekly, monthly and annual compounding. Use this one for a real account; use that one for the math. Read more about the difference below, and use the daily compound interest calculator for that comparison directly.