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Savings Calculator

Tested

Project savings with regular deposits.

Tested, not yet published. The formula for this calculator is implemented and passes its automated checks. This page stays non-indexable until it is reviewed and published.

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Advanced options

Results

Enter your values and press Calculate. Results appear here.

  • • Result

Quick answer

Savings balance with regular monthly deposits. Enter initial amount, annual interest rate, years and compounding and the savings calculator returns savings balance, total deposited and interest earned.

Related tools: Savings Goal Calculator: Monthly deposit needed to reach a savings goal. Inflation Calculator: Future cost or purchasing power using an average inflation rate you provide. CD Ladder Calculator: Maturity values of a ladder of equal CDs with 1, 2, 3 … year terms.

How to use the Savings Calculator

  1. Enter initial amount ($) (0 or more).
  2. Optionally, enter monthly contribution ($) (0 or more).
  3. Enter annual interest rate (%) (between 0 and 100).
  4. Enter years (between 0 and 100).
  5. Choose compounding: Monthly, Annually, Semi-annually, Quarterly, Daily and Weekly.
  6. Press Calculate to see the result, and use Reset to start again.
Inputs of the Savings Calculator
InputWhat to enterAllowed values
Initial amountA number, in $≥ 0
Monthly contribution (optional)A number, in $≥ 0
Annual interest rateA number, in %≥ 0, ≤ 100
YearsA number> 0, ≤ 100
CompoundingChoose one: Monthly; Annually; Semi-annually; Quarterly; Daily; WeeklyStarts at Monthly

Formula and method

Formula

A = P(1 + r/n)^(nt) + C·((1 + r/n)^(nt) − 1) ÷ (r/n)

IEEE-754 double precision; money shown to cents, rates to 4 decimals. Results are estimates, not financial advice.

Compound growth with end-of-period contributions equivalent to the monthly amount spread over each compounding period.

Worked examples

These examples are verified: each one is an automated test case that the live calculator must reproduce exactly.

Example 1

Inputs: Initial amount = 0; Monthly contribution = 100; Annual interest rate = 6; Years = 10; Compounding = Monthly.

Results of example 1
ResultValue
Savings balance$16,387.93
Total deposited$12,000.00
Interest earned$4,387.93

Example 2

Inputs: Initial amount = 5000; Monthly contribution = 0; Annual interest rate = 2; Years = 3; Compounding = Monthly.

Results of example 2
ResultValue
Savings balance$5,308.92
Total deposited$5,000.00
Interest earned$308.92

The first line is the headline result (savings balance). Below it the savings Calculator lists total deposited and interest earned, which describe the same case from other angles. IEEE-754 double precision; money shown to cents, rates to 4 decimals. Results are estimates, not financial advice.

Regular deposits over time

Saving a fixed amount each month builds a balance through your deposits and the interest on them. The earlier you start, the more time interest has to work, so the interest share grows faster in later years.

$100 saved each month at 6% APY

Every figure in this table comes from running this calculator, so it matches what the form returns.

$100 saved each month at 6% APY
YearsSavings balanceTotal depositedInterest earned
5$6,977.00$6,000.00$977.00
10$16,387.93$12,000.00$4,387.93
20$46,204.09$24,000.00$22,204.09

What happens with invalid input

These messages are produced by the calculator itself, so you know what to fix.

  • Annual interest rate: entering "x" shows "Annual interest rate must be a number." beside that field and no result.

Choosing between the Savings Calculator and similar calculators

Each row shows what a related calculator on this site asks for and what it returns, so you can pick the one that matches your question.

Choosing between the Savings Calculator and similar calculators
CalculatorYou enterIt returns
[Savings Goal Calculator](/finance/savings-goal-calculator/)savings goal, current savings and annual returnMonthly deposit needed
[Inflation Calculator](/finance/inflation-calculator/)amount today, average annual inflation and yearsFuture cost
[CD Ladder Calculator](/finance/cd-ladder-calculator/)total to invest and aPY of each rungTotal at maturity
[Emergency Fund Calculator](/finance/emergency-fund-calculator/)essential monthly expenses and months of coverEmergency fund target
[Fuel Savings Calculator](/automotive/fuel-savings-calculator/)miles driven per year, current fuel economy and new fuel economyAnnual savings

Background: interest, saving and investing

A nominal rate (APR) does not include the effect of compounding; the annual percentage yield (APY) does: APY = (1 + r/n)^n − 1. A 5% nominal rate compounded annually is 5.000%, semi-annually about 5.063%, quarterly about 5.095% and monthly about 5.116%, so more frequent compounding helps, but with diminishing returns.

The rate you enter in a projection is an assumption, not a promise: real returns vary and can be negative. Fees and taxes are not modelled unless the page says so.

Assumptions and limitations

  • 0% rate gives simple accumulation
  • Contributions optional

Results are estimates for planning, not financial advice. Lender terms, fees, taxes and rounding rules can change real figures, so confirm important numbers with your lender or a licensed adviser.

If a required value is empty, not a number, or outside its allowed range, the form marks that field with a message and shows no result instead of a misleading number. The automated checks deliberately try invalid entries for annual interest rate to confirm this.

Frequently asked questions

What does the Savings Calculator calculate?

Savings balance with regular monthly deposits. It returns Savings balance, Total deposited and Interest earned.

What formula does the Savings Calculator use?

A = P(1 + r/n)^(nt) + C·((1 + r/n)^(nt) − 1) ÷ (r/n). Compound growth with end-of-period contributions equivalent to the monthly amount spread over each compounding period.

What do I need to enter in the savings Calculator?

You enter Initial amount ($), Annual interest rate (%), Years and Compounding. Optional: Monthly contribution ($).

How is the result rounded or limited?

IEEE-754 double precision; money shown to cents, rates to 4 decimals. Results are estimates, not financial advice. 0% rate gives simple accumulation.

What are the limits of this calculator?

0% rate gives simple accumulation. Contributions optional.

What does the “Compounding” option change?

It sets how the savings is worked out. The choices are Monthly, Annually, Semi-annually, Quarterly, Daily and Weekly.

What is an example of a savings result?

With initial amount 0, monthly contribution 100, annual interest rate 6, years 10 and compounding Monthly, the savings balance is $16,387.93.

Can I rely on this calculator for a decision?

Results are estimates for planning, not financial advice. Lender terms, fees, taxes and rounding rules can change real figures, so confirm important numbers with your lender or a licensed adviser. For this calculator in particular: 0% rate gives simple accumulation.

Sources

  • Standard time-value-of-money relations (e.g. Brealey, Myers & Allen, Principles of Corporate Finance)

Content last reviewed 2026-11-04. Formulas and worked examples are checked by automated tests against independently computed values.