AscendLab

Finance calculators

APY/APR 换算

Free browser tool

APY to APR Calculator

Convert APR to APY or APY to APR using compounding periods per year for savings, loans, and rate comparisons.

Rate inputs
Convert between nominal APR and effective APY using compounding periods.
APY result
Compounding frequency changes the effective annual yield.

Converted rate

5.1162%

Using 12 compounding periods per year.

Quick answer

APR is the nominal annual rate before compounding effects.

APY is the effective annual yield after compounding.

Best inputs

Use matching periods

Monthly compounding uses 12 periods, daily often uses 365.

Separate fees

Keep account fees or loan fees outside this rate-only conversion.

APR and APY formulas
The calculator uses standard compounding formulas.
APY = (1 + APR / periods)^periods - 1.
APR = periods x ((1 + APY)^(1 / periods) - 1).
Rates are displayed as annual percentages.
Example, Assumption, and Limitation
Use the result as a practical estimate or transformation, then confirm edge cases for critical work.

Example

A 5% APR compounded monthly is about 5.1162% APY.

Assumption

The rate compounds evenly across the selected number of periods.

Limitation

Promotional rates, fees, penalties, and changing balances are not included.

Common use cases
These pages are built for lightweight browser-side work, examples, and planning.

Savings accounts

Compare advertised APY and nominal APR.

Loan review

Understand compounding assumptions.

Finance models

Normalize annual rate inputs.

Education

Show compounding effects quickly.

Frequently asked questions

What is the difference between APR and APY?

APR is a nominal annual rate, while APY reflects the effect of compounding over the year.

Why do compounding periods matter?

More frequent compounding can increase the effective annual yield for the same nominal rate.

Can I use this for loans and savings?

Yes, as a rate comparison helper, but always confirm lender or bank terms.

Does this include fees?

No. It only converts rates based on compounding frequency.

Suggested workflow

Rate comparison workflow

Convert rates, model compound growth, then compare loan payments.