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Annual Percentage Yield Calculator

Convert a nominal interest rate with compounding periods per year into the effective annual percentage yield.

Inputs

Results

Annual percentage yield5.11619%
Yield gain over nominal rate0.1161898%

Chart

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How to use the annual percentage yield calculator

Convert a nominal interest rate with compounding periods per year into the effective annual percentage yield. Enter nominal annual rate, compounding periods per year in the fields above; the annual percentage yield, yield gain over nominal rate are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “APY calculator”, “effective annual rate”, “compounding frequency yield”, “calculate annual percentage yield”, “find annual percentage yield”.

Formula

Annual percentage yield (%) = ((1+r / 100 / n)^n-1) × 100
Yield gain over nominal rate (%) = [Annual percentage yield]-r

Variables

  • r — Nominal annual rate (%)
  • n — Compounding periods per year

Worked example

With nominal annual rate = 5 %, compounding periods per year = 12, the calculator gives annual percentage yield ≈ 5.11619 %; yield gain over nominal rate ≈ 0.1161898 %.

Frequently asked questions

What is the annual percentage yield calculator used for?

Convert a nominal interest rate with compounding periods per year into the effective annual percentage yield. It helps with questions such as “APY calculator”, “effective annual rate”, “compounding frequency yield”.

What is the formula for the annual percentage yield calculation?

Annual percentage yield (%) = ((1+r / 100 / n)^n-1) × 100. Yield gain over nominal rate (%) = [Annual percentage yield]-r. Here r is nominal annual rate (%), n is compounding periods per year.

What inputs do I need for the annual percentage yield calculator?

You need nominal annual rate in %, compounding periods per year. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the annual percentage yield calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the annual percentage yield result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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