Savings Calculator
Estimate how an initial deposit and consistent monthly savings could grow over 1 to 100 years. Enter an advertised APY or a nominal annual rate with its compounding frequency, compare your deposits with projected interest, and download a year-by-year schedule.
APY already includes compounding.
Enter your starting balance, monthly deposit, rate, and term to project your savings.
How to Use the Savings Calculator
Enter the amount already in the account and the amount you plan to add every month.
Choose APY when the account advertises an annual percentage yield. Choose nominal annual rate only when you have a stated rate and know how often it compounds.
Enter a whole-number term from 1 to 100 years and choose whether monthly deposits occur at the beginning or end of each month.
Review the projected balance, your total deposits, projected interest, and the yearly schedule.
Use APY When the Account Advertises APY
Annual percentage yield represents the effective amount of interest earned over a year after accounting for the stated rate and compounding frequency.
When a savings account advertises 4.5% APY, select APY and enter 4.5.
Do not enter that APY as a nominal rate and then select monthly compounding. Doing so would add another compounding adjustment and overstate the yield.
APY versus nominal annual rate
Swipe horizontally to view the full table.
When to Use a Nominal Annual Rate
A nominal annual rate states the annualized periodic rate before the complete compounding effect.
The calculator divides the nominal rate according to the selected compounding frequency and calculates the resulting effective annual yield.
For example, a 5% nominal rate compounded monthly produces an effective annual yield of approximately 5.1162%.
If the source already labels the number APY or effective annual yield, use APY mode instead.
Why Compounding Frequency Is Hidden for APY
APY already contains the effect of compounding.
Monthly, quarterly, or annual crediting can produce the same disclosed APY when the underlying periodic rate is adjusted accordingly.
The calculator needs only the APY to reproduce that effective annual growth in its monthly planning model.
How the Equivalent Monthly Rate Is Calculated
Monthly deposits require a consistent monthly projection step.
For APY, the calculator finds the monthly rate that compounds to the entered yield over twelve months.
For a nominal rate, it first calculates the effective annual yield from the selected frequency and then converts that yield to an equivalent monthly rate.
With no recurring deposits, twelve monthly steps reproduce the effective annual yield.
Equivalent Monthly Growth Is a Planning Model
A real institution may calculate interest from each day’s balance and credit it monthly, quarterly, or on another schedule.
This calculator smooths the entered annual return into mathematically equivalent monthly steps so monthly deposits can be compared consistently.
The projection can therefore differ slightly from an actual statement even when the advertised APY remains unchanged.
Beginning Versus End of Month Deposits
A beginning-of-month deposit is added before that month’s interest step.
An end-of-month deposit is added after interest and begins growing in the following monthly step.
Beginning timing therefore gives every recurring deposit one additional monthly growth period.
Choose the option that most closely matches when funds normally reach the account.
Monthly contribution timing
Swipe horizontally to view the full table.
Initial Deposit and Recurring Contributions
The initial deposit is present from the beginning of the projection.
Recurring deposits are then added once per month according to the selected timing.
Total deposits equal the initial deposit plus every scheduled monthly contribution.
The calculator does not treat deposits as interest or include them in the reported interest total.
Ending Balance Equals Deposits Plus Interest
The projected ending balance consists of money deposited by the saver and interest generated by the modeled account.
Projected interest is calculated as ending balance minus total deposits.
Separating these amounts prevents a large future balance from being mistaken for interest alone.
Understanding the Yearly Schedule
Each row reports the account at the end of one projection year.
The schedule separates cumulative deposits from cumulative interest and also shows how much interest was added during that specific year.
Later years often produce more interest because the same percentage is applied to a larger accumulated balance.
Yearly schedule columns
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Why Interest Can Accelerate Over Time
Compound interest means previously credited interest can earn additional interest.
Recurring deposits also increase the balance on which later interest is calculated.
The annual rate does not need to rise for yearly interest to increase; the account balance itself becomes larger.
Zero-Rate Savings
A rate of 0% is valid.
With no interest, the ending balance is exactly the initial deposit plus all scheduled monthly contributions.
This scenario can be useful for separating the effect of saving consistently from the effect of account yield.
Variable APYs and Promotional Rates
Many savings-account APYs are variable and can change after the calculation is made.
Promotional yields may expire, while tiered accounts may apply different rates at different balances.
Run separate scenarios when you want to compare a lower, expected, and higher future rate rather than assuming one advertised rate will last for decades.
Fees, Taxes, and Withdrawal Conditions
The calculator does not subtract account fees or taxes on interest.
It also does not model withdrawal limits, early-withdrawal penalties, required activity, minimum balances, or deposit conditions.
Review the account’s disclosures before comparing products solely by projected balance.
Inflation and Future Purchasing Power
The result is a future nominal currency amount.
It does not show how much that balance could buy after future price changes.
A larger future balance can still have lower purchasing power than the same numerical amount has today.
Savings Accounts and Investment Returns Are Different
A savings-account APY is not the same as an assumed investment return.
Investment values can fluctuate and can lose principal, while a savings projection normally models interest credited to a deposit balance.
Use a tool designed for investments when returns, volatility, fees, taxes, or market losses need to be represented.
Compare Scenarios Rather Than Trusting One Forecast
Try different monthly deposits, terms, rates, and contribution timing.
Comparing scenarios can show whether increasing the monthly contribution or extending the term matters more for a particular goal.
Recalculate whenever the real account rate, deposit habit, or goal changes.
Projection assumptions and real-world differences
Swipe horizontally to view the full table.
Precision and Currency Formatting
The calculation retains browser floating-point precision through every monthly step.
Currency results are formatted for display, while the CSV rounds monetary columns to two decimal places.
The currency selector labels and formats amounts but does not perform exchange-rate conversion.
Privacy and Local Processing
The calculation and yearly schedule are created in the browser.
No bank account, login, statement, or financial document is required.
The rewritten interface starts blank and does not place calculation values into a share URL or intentionally persist them.
Savings Projection Formulas
The annual input is converted to an equivalent monthly rate, after which the balance is processed one month at a time.
Formula variables
- Entered APY as a decimal
- Effective annual yield calculated from a nominal rate
- Nominal annual rate as a decimal
- Nominal compounding periods per year
- Equivalent monthly growth rate
- Balance after month m
- Monthly contribution
- Initial deposit
- Term in whole years
- Total deposits
- Total projected interest
Examples
Ten-year savings plan using APY
1Input
Initial deposit: $5,000; monthly contribution: $200; APY: 4.5%; term: 10 years; deposits at the end of each month.
Show result
Result
Total deposits are $29,000. The projected ending balance is approximately $37,859.98, including about $8,859.98 of interest.
Three-year emergency fund
2Input
Initial deposit: $2,000; monthly contribution: $300; APY: 4%; term: 3 years; deposits at month-end.
Show result
Result
Total deposits are $12,800. The projected ending balance is approximately $13,692.05, including about $892.05 of interest.
The projection assumes the 4% APY remains unchanged.
Beginning versus end of month
3Input
No opening deposit; contribute $100 monthly for one year at 12% APY.
Show result
Result
Beginning-of-month deposits grow to approximately $1,276.65. End-of-month deposits grow to approximately $1,264.65.
Beginning timing gives every deposit one additional monthly growth step.
Nominal rate compounded monthly
4Input
Initial deposit: $10,000; no monthly contributions; nominal annual rate: 5%; monthly compounding; term: 1 year.
Show result
Result
The effective annual yield is approximately 5.1162%, producing a projected balance of about $10,511.62.
Zero-interest contribution plan
5Input
Initial deposit: $1,000; monthly contribution: $250; rate: 0%; term: 2 years.
Show result
Result
The ending balance is $7,000, consisting entirely of deposits with $0 interest.
Long-term monthly savings
6Input
Initial deposit: $5,000; monthly contribution: $200; APY: 5%; term: 25 years; deposits at month-end.
Show result
Result
Total deposits are $65,000. The projected ending balance is approximately $134,078.68, including about $69,078.68 of interest.
This assumes no rate changes, fees, taxes, or withdrawals for 25 years.
Frequently Asked Questions
Should I enter APY or the interest rate?
Use APY when the account advertises APY. Use nominal annual rate only when the source provides a stated rate before compounding and identifies the compounding frequency.
What does APY mean?
Annual percentage yield is an effective annual rate that reflects both the interest rate and compounding.
Why is compounding frequency hidden for APY?
APY already includes the annual effect of compounding, so another frequency selection is unnecessary.
Why can effective yield be higher than a nominal rate?
Repeated compounding allows previously credited interest to earn additional interest.
What does equivalent monthly rate mean?
It is the monthly growth rate that reproduces the same effective annual return after twelve monthly steps.
Does the calculator reproduce my bank statement exactly?
No. Banks may use daily balances, precise crediting dates, leap-year rules, fees, and account-specific conditions.
Are monthly deposits included in total deposits?
Yes. Total deposits include the opening deposit and every scheduled monthly contribution.
Why does beginning-of-month timing earn more?
Each recurring deposit is present before that month’s interest calculation and receives one additional monthly growth step.
Can the interest rate be zero?
Yes. At 0%, the ending balance equals total deposits and projected interest is zero.
Can I enter no initial deposit?
Yes. Enter 0 and build the projection entirely from monthly contributions.
Can I enter no monthly contribution?
Yes. Enter 0 to project growth of only the initial deposit.
Can I enter a partial year?
No. The current calculator supports whole-year terms from 1 through 100.
Can I model withdrawals?
No. Monthly contributions cannot be negative, and withdrawals are not included.
Does it support changing interest rates?
No. One constant rate is used for the entire projection.
Does it support promotional or tiered APYs?
No. Model separate periods or scenarios manually when the rate changes by date or balance.
Does it include account fees?
No. Maintenance charges, withdrawal fees, and other account costs are not deducted.
Does it include taxes?
No. Projected interest is shown before any applicable tax.
Does it account for inflation?
No. Results are future nominal amounts rather than inflation-adjusted purchasing power.
Can I use it for a high-yield savings account?
Yes. Select APY and enter the currently advertised yield, while remembering that variable APYs can change.
What does interest this year mean?
It is the increase in accumulated interest during that projection year, excluding deposits.
Why does later yearly interest increase?
The same rate is applied to a larger accumulated balance containing earlier deposits and interest.
Does changing currency convert the amounts?
No. Currency selection changes formatting only. Enter every amount in one consistent currency.
What is included in the CSV?
The CSV contains each year, currency code, ending balance, cumulative deposits, cumulative interest, and interest earned during that year.
Are projected balances guaranteed?
No. They depend on assumptions that may differ from the actual account and future rates.
Are my savings values uploaded or stored?
No. The rewritten calculator processes them locally and does not intentionally persist them or add them to a share URL.
References
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