Convert an entered periodic rate to nominal and effective annual rates.
It keeps balances, contributions, withdrawals, fees, rate conventions, crediting frequency, and time periods visible so you can compare accounts and plans without hidden product assumptions.
Calculation structure
Match every rate to its time period
Nominal annual rate = periodic rate × periods per year. Effective annual rate = (1 + periodic rate)^periods − 1.
Visual explanation
See what changes the savings result
Starting balanceinterest+compoundingFuture balanceRate, frequency, and time work togetherNominal annual rate = periodic rate × periods per year. Effective annual rate = (1 + periodic rate)^periods − 1.
Read the estimate correctly
Use the result with its assumptions
A 1% monthly rate converts to 12% nominal and approximately 12.6825% effective annually.
The conversion assumes equal periods and compounding at the end of every period. Fees and irregular cash flows are excluded.
Quick guide
How to use this calculator
Enter the balance, rate, timing, fee, or contribution assumptions named by the fields.
Use one currency and follow the stated nominal, effective, simple-interest, or compounding convention.
Review the calculator-specific assumptions before comparing accounts or making a savings decision.
Calculation method
Calculation method
Nominal annual rate = periodic rate × periods per year. Effective annual rate = (1 + periodic rate)^periods − 1.
Entered fixed decimals are parsed exactly. Compound projections use stable exponential forms and preserve zero-rate cases exactly; money rounds only for display and a supported nonzero amount is not replaced by a misleading zero.
Worked example
Worked example
A 1% monthly rate converts to 12% nominal and approximately 12.6825% effective annually.
Nominal annual rate = periodic rate × periods per year. Effective annual rate = (1 + periodic rate)^periods − 1.
Supported inputs
Precision and limits
Visible input limits
Amounts accept up to 30 digits and 12 decimal places and are capped at 1e12 per input. Rates are capped at 1000%. Most projections are capped at 1,200 months or 100 years; narrower whole-number limits appear in field labels.
International scope
No currency, institution, current market rate, deposit-insurance rule, tax system, regulatory disclosure, or jurisdiction-specific product term is assumed.
Decision boundary
Results are arithmetic scenarios from visitor-entered assumptions, not account quotations, forecasts, tax advice, legal determinations, deposit guarantees, or recommendations.
Calculator-specific assumptions
The conversion assumes equal periods and compounding at the end of every period. Fees and irregular cash flows are excluded.
