APR vs APY Calculator
Convert APR to APY by compounding frequency.
APR vs APY
Formula
APY = (1 + APR/n)^n - 1
Example
5% APR compounded daily → 5.127% APY.
Understanding the APR vs APY
A $5,000 credit card balance at 22% APR with minimum payments takes over 14 years to pay off and costs more than $7,000 in interest - all on a balance that started under five thousand.
How it actually works
Convert APR to APY by compounding frequency.
The formula is straightforward arithmetic once the inputs are correct; the value of the calculator is in handling the algebraic manipulation reliably and removing transcription errors. Plug in your specific inputs above and the result appears as you type, so you can immediately see how each variable affects the answer.
What the numbers really say
$10,000 credit card balance at 22% APR with minimum payments (typically 2% of balance) takes 28 years to pay off and costs $24,580 in interest - 2.5x the original balance. Doubling the minimum payment cuts payoff to 8 years and reduces interest to $5,200.
The deeper context most users miss
Credit card debt has a unique psychological dimension that other debt does not: the minimum payment is so low it feels manageable, masking how slowly the principal moves. Behavioral economists have studied this for decades - the 'minimum payment anchor' causes people to pay 70-80% less than they would have without seeing the suggested minimum on the statement. The federal CARD Act of 2009 now requires credit card statements to show payoff time at minimum payments, which has measurably increased payment amounts. Setting a fixed dollar payment (not a percentage) and treating it as a non-negotiable monthly bill is the single behavioral lever that turns the credit card payoff math in your favor.
What people get wrong
- Paying minimums. Minimums are designed to keep you in debt. They are often barely above the interest accruing - meaning principal barely moves.
- Snowball vs avalanche confusion. Avalanche (highest-rate first) saves the most money. Snowball (smallest-balance first) keeps more people motivated. Pick the one you will actually stick with.
- Closing accounts after payoff. Closing accounts after paying them off raises your credit utilization ratio and often hurts your score. Keep them open with zero balance.
- Taking new debt before old is paid. Balance transfers and consolidation only work if you do not run the original cards back up - which is what most consolidators do.
When this calculator helps most
The apr vs apy calculator is most useful when you are making a real decision - comparing options, sizing a commitment, sanity-checking a quote, or planning ahead. The output is precise to your inputs; the inputs themselves are the place to slow down. Spend extra time on the assumptions you are making about rate, term, timing, or context-specific variables - those swing the answer far more than the formula's arithmetic does. A 5% change in the input often produces a 10-20% change in the output, which means small input errors compound into large output errors.
Where the math comes from
The CFPB publishes consumer credit-card data and minimum-payment regulations. The Truth in Lending Act (Regulation Z) specifies how APRs and finance charges must be calculated and disclosed. NerdWallet and Bankrate publish current average APRs.
Questions and answers
Is paying off credit cards before investing worth it?
Almost always yes for high-interest debt. Paying off a 22% APR card is a guaranteed 22% return - better than any reasonable investment expectation. Below 8% APR, the math gets closer.
Should I do a balance transfer?
If you can pay off the balance during the 0% promotional period (typically 12-21 months), yes. If not, the high post-promo APR may negate the savings. Watch transfer fees (typically 3-5%).
How does this affect my credit score?
Lower utilization (balance/limit ratio) raises scores. Below 30% is considered healthy; below 10% is excellent. Paying off cards raises the score over 1-2 billing cycles.
What about debt consolidation loans?
A personal loan at 8-15% APR replacing 22% APR cards saves money - if you do not run the cards back up. The risk is having both: consolidated debt plus reborrowed credit cards.
Can I negotiate a lower rate?
Often yes. A simple call asking for a rate reduction works for customers with on-time payment history. Drops of 4-8 percentage points are common; the conversation takes 5 minutes.
Sources & References
Authoritative references consulted in building this calculator and educational content. These are primary sources — check directly for the most current figures.
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