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APY Interest Calculator

Nominal interest rates ignore how often interest is credited. Annual Percentage Yield (APY) reflects the true annual return earned due to compounding frequency.

Stated annual percentage rate before compounding.

How frequently interest is calculated and added to the principal balance.

Calculated Result
5.116%

Effective Annual Percentage Yield (APY)

Effective APY

5.116%

Nominal APR Rate

5.00%

Compounding Boost

+0.116%

Compounding Frequency

Monthly

Calculation Breakdown

  1. Compounding Base FactorNominal rate r = 0.0500 compounded monthly (12 periods/year) gives periodic rate r/n = 0.004167.
  2. Annual Percentage Yield (APY) EquationAPY = (1 + r/n)^n - 1 = (1 + 0.004167)^12 - 1 = 5.116%.

Effective APY by Compounding Frequency (at 5.0% APR)

Interactive visualization based on your current inputs

APY (%)
0.01.32.63.85.1Annual (1x)Quarterly (4x)Monthly (12x)Daily (365x)Compounding CycleEffective APY (%)

What Is the APY Interest Calculator?

An APY interest calculator determines true annualized investment returns accounting for compounding intervals.

How Does the APY Interest Calculator Work?

Compounds periodic fractional interest rates across total compounding events per calendar year.

APY Interest Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

APY = (1 + r/n)^n - 1

Divides nominal rate by periods per year, compounds across full year, and subtracts base principal.

How to Use the APY Interest Calculator

  1. Input nominal APR percentage and choose the bank compounding schedule.

Step-by-Step Example Calculation

5.0% APR Compounded Monthly

Input Values:

nominalRatePct:5
compoundingFrequency:monthly

Understanding Your Result

Shows true APY percentage and the net yield premium gained from compounding.

Factors That Affect the Result

  • More frequent compounding (daily vs monthly) yields incrementally higher effective APY.

When Should You Use This Calculator?

  • Comparing high-yield savings accounts, CDs, money market accounts, and Treasury bills.

Assumptions & Limitations

  • Assumes rate remains fixed for the complete 12-month period.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Federal Reserve Regulation DD (Truth in Savings) standard formula.

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