APY / APR Calculator
Convert APR to APY or APY back to APR with daily, weekly, monthly, quarterly, annual or continuous compounding. Compare every frequency side by side and see the one-year interest difference on your principal — locally, in your browser.
Scenario math from the rate you typed — nothing is fetched, nothing is promised.
APR → APY = (1 + APR/n)^n − 1 · APY → APR = n × ((1 + APY)^(1/n) − 1) · continuous: APY = e^APR − 1, APR = ln(1 + APY).
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This page converts the numbers you type — it fetches no rates and reads no wallet. Advertised APY changes daily on most platforms; treat results as a scenario, not a promise.
Convert APR to APY — or back
Pick a direction, type the rate and choose how often it compounds: daily, weekly, monthly, quarterly, annually or continuously (the DeFi per-block limit). The table shows the same input at all six frequencies so you can see exactly how much the compounding schedule matters, and the principal row turns the percentages into one-year interest amounts.
APR is the simple annual rate: what you earn if interest never compounds. APY is the effective annual yield once compounding is included: APY = (1 + APR/n)^n − 1, where n is how many times per year interest is credited. The same 12% APR becomes 12.68% APY with monthly compounding and 12.75% with continuous compounding (e^r − 1) — which is why two platforms advertising "the same rate" can pay different amounts, and why DeFi protocols that compound every block are effectively continuous.
This converter works in both directions (APR→APY and APY→APR), shows all six compounding frequencies side by side, and demonstrates the one-year difference on a principal you choose. Advertised rates change constantly, so treat every result as a scenario, not a promise.
FAQ
What is the difference between APY and APR?
APR is the nominal annual rate: the per-period rate multiplied by the number of periods, ignoring compounding. APY (the effective annual rate) is what a full year actually accrues when each period’s interest itself earns interest. At annual compounding (n = 1) the two are equal; the more frequent the compounding, the wider the gap.
Why do DeFi platforms label rates as APY?
Many protocols compound rewards every block or every few seconds, which pushes the effective rate close to the continuous-compounding limit — and APY is the larger of the two numbers, so listings favor it. Use the APY → APR direction here to recover the underlying nominal rate when comparing venues.
How does continuous compounding work mathematically?
It is the limit of compounding infinitely often: APY = e^APR − 1, and in reverse APR = ln(1 + APY). Per-block compounding on a fast chain lands within a rounding error of that limit, which is why the Continuous option is a practical stand-in for DeFi reward math.
Why treat the result as a scenario?
Advertised APY changes daily on most platforms — treat results as a scenario, not a promise. Rates float with pool utilization and token emissions, and lock-up periods can hold funds while the rate moves. This page only converts the number you type; it does not fetch or verify any rate.
Is anything I type uploaded?
No. The conversion runs entirely in your browser with local JavaScript. Rates and principal never leave your device, and the page keeps working offline once loaded.
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