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free tool · DeFi and perps calculators

APR to APY calculator for DeFi

Turn any APR into APY, or back, and see what your deposit earns.

your numbers

Convert

your result

APY
82.12%
APR 60.00% compounded daily

APY by compounding frequency at 60.00% APR

APY by compounding frequency
  • Yearly60.00%
  • Monthly79.59%
  • Weekly81.59%
  • Daily82.12%
  • Hourly82.21%
  • Continuous82.21%
Earned in 365 days
$821.22
balance $1,821.22
Daily rate
0.164%

APY assumes every reward is claimed and re-deposited at the same rate. DeFi rates change by the hour and rewards paid in a volatile token can lose value faster than they compound.

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quick answer

What is the difference between APR and APY?

APR is the yearly rate without compounding; APY is the effective yearly return when rewards are reinvested. With compounding, APY is always at least as high as APR.

how to use the apr to apy calculator

APR is the simple yearly rate; APY includes the effect of compounding. Convert either way with any compounding frequency, and see the daily rate and what a deposit earns over a set number of days.

  1. Pick a direction

    Choose APR → APY or APY → APR.

  2. Enter the rate

    Enter the rate and the compounding frequency.

  3. See the earnings

    Enter a deposit and a number of days to see the earnings.

formula

The exact math the apr to apy calculator runs, so you can check any result by hand.

APY = (1 + APR ÷ n)ⁿ − 1APR = n × ((1 + APY)^(1/n) − 1)continuous: APY = e^APR − 1

guide

APR vs APY

A 60% APR compounded daily is a 82.1% APY; compounded monthly it is 79.6%. The higher the rate and the more often rewards are reinvested, the bigger the gap. DeFi dashboards often show APY because it is the bigger number, even when rewards are not auto-compounded.

what the headline yield leaves out

Both numbers assume the rate stays the same for a year, which DeFi rates never do. Yields paid in a volatile reward token can lose value faster than they compound, and liquidity-pool yields ignore impermanent loss. Compare the yield with what you give up.

frequently asked questions

What is 100% APR in APY?

171.5% with daily compounding, 161.3% with monthly compounding and 171.8% (e − 1) with continuous compounding.

How do I convert APY to APR?

APR = n × ((1 + APY)^(1/n) − 1), where n is the number of compounding periods per year. The calculator does it for any frequency.

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