🔢 APR vs APY Calculator

Convert between nominal and effective interest rates. Instantly. Free.

APR vs APY Calculator

Generated: | MultiCalculators.com

⚙️ Conversion Direction
Enter the rate from your card, loan, or savings offer
Check your account agreement for the exact frequency
Enter to see annual interest in dollars
Used to project total interest over time
Enter a competing offer to compare side by side
Input APR
—
Your entered rate
Converted APY
—
Effective annual rate
Rate Difference
—
Compounding effect
Annual Interest ($)
—
Enter principal to calculate
📊 APR vs APY Side-by-Side
📋 Nominal Rate
—
APR — stated rate
✨ Effective Rate
—
APY — what you actually earn/pay
📋 All Compounding Frequencies Compared
Compounding Frequency Periods/Year APY Rate Diff Annual $ (if principal entered)
📈 APY by Compounding Frequency
📤 Export & Share
🔗 Embed this Tool on Your Site

Free to embed. No sign-up required.

Powered by MultiCalculators.com

🔢

Enter your interest rate above and click Convert Rate to see your results.

Last Updated: June 2025

What Is an APR vs APY Calculator?

An APR vs APY calculator is a financial conversion tool that translates nominal interest rates into effective annual rates — and back again — by applying the compounding frequency chosen by your bank, lender, or credit card issuer. Its main benefit is showing you the true cost or yield of any interest-bearing product in a single, comparable number.

Quick Definition: APR (Annual Percentage Rate) is the interest rate stated on a financial product before compounding is applied. APY (Annual Percentage Yield) is the effective annual rate after accounting for how often interest compounds within the year. APY is always equal to or higher than APR, and the gap between them grows with compounding frequency and rate size.

This tool solves three specific problems. First, it removes the confusion of comparing a savings account advertised at "5.25% APY" against a CD advertised at "5.15% APR" compounded daily — two products where the better deal is not obvious without conversion. Second, it reveals how much more you actually pay on a 29.99% APR credit card compounded daily versus a personal loan at the same nominal rate compounded monthly. Third, it lets investors and borrowers verify whether a lender is quoting the rate most favorable to itself.

Three groups find this calculator most valuable. Consumers shopping savings accounts or money market funds need APY to compare products where compounding differs. Borrowers comparing personal loans, auto loans, or credit cards need to convert APRs to APY to put every offer on equal footing. Financial educators teaching compound interest can use the frequency comparison table to show students exactly how much each extra compounding period adds to the effective rate.

The real-world impact is tangible. A savings account offering 5.00% APR compounded monthly yields 5.116% APY. A competing account at 4.95% APR compounded daily yields 5.075% APY. Without conversion, the 5.00% account looks better — but it is actually the higher-yielding account in this case. The calculator makes a decision that would otherwise require a spreadsheet into a two-second lookup.

How the APR to APY Conversion Math Works

The calculator uses one of two standard formulas depending on your conversion direction. Both formulas are published by the Consumer Financial Protection Bureau and appear in every financial mathematics textbook.

The APR to APY Formula — Effective Annual Rate Calculator

The formula to convert a nominal rate to an effective annual rate is:

APY = (1 + APR / n)^n − 1 Where: APY = Annual Percentage Yield (effective annual rate, expressed as a decimal) APR = Annual Percentage Rate (nominal rate, expressed as a decimal, e.g. 0.06 for 6%) n = Number of compounding periods per year (12 = monthly, 365 = daily, 4 = quarterly, 1 = annual) ^ = "raised to the power of" For continuous compounding (n → ∞): APY = e^APR − 1 (e = Euler's number ≈ 2.71828)

Worked Example — APR to APY Step by Step

Convert 6.00% APR compounded monthly to APY:

Step 1: Convert APR to decimal → 6.00 ÷ 100 = 0.0600 Step 2: Divide by periods → 0.0600 ÷ 12 = 0.0050 Step 3: Add 1 → 1 + 0.0050 = 1.0050 Step 4: Raise to power of n → 1.0050 ^ 12 = 1.06168... Step 5: Subtract 1 → 1.06168 − 1 = 0.06168 Step 6: Convert to percent → 0.06168 × 100 = 6.168% Result: 6.00% APR compounded monthly = 6.168% APY. The compounding effect adds 0.168 percentage points per year.

The APY to APR Formula — Nominal vs Effective Interest Rate Reverse

APR = n × ((1 + APY)^(1/n) − 1) Where variables are the same as above, reversed. Example: Convert 6.168% APY (monthly) back to APR: Step 1: 0.06168 + 1 = 1.06168 Step 2: 1.06168 ^ (1/12) = 1.005000... Step 3: 1.005000 − 1 = 0.005000 Step 4: 0.005000 × 12 = 0.06000 Result: 6.000% APR ✓

Scenario Comparison Table — Nominal vs Effective Interest Rate

Scenario APR Input Frequency APY Result Rate Gained
High-yield savings 5.00% Daily 5.127% +0.127%
Money market account 4.75% Monthly 4.848% +0.098%
Credit card 24.99% Daily 28.374% +3.384%
Personal loan 11.50% Monthly 12.114% +0.614%

Why This Matters for Your Compound Interest Rate Calculator

The gap between APR and APY is small for savings accounts but large for high-rate debt. A credit card at 24.99% APR compounded daily has an effective APY of 28.374% — nearly 3.4 percentage points higher. That difference on a $5,000 balance equals about $170 in extra annual interest that is invisible unless you run the conversion. The frequency comparison table built into this tool makes every scenario visible in one place.

How to Use This APR vs APY Calculator

Conversion Direction

The direction toggle at the top of the calculator switches between APR → APY and APY → APR modes. Selecting APR → APY means you know the stated rate and want to find the true effective yield. Selecting APY → APR reverses the process — useful when a bank advertises an APY and you want the underlying nominal rate for comparison. The most common mistake here is using the wrong direction and then comparing the result to a rate of the same type — producing an apples-to-oranges comparison.

Input Rate Field

Enter the percentage rate from your financial product here — no need to divide by 100 first. Find the exact APR in your loan agreement's "Annual Percentage Rate" box or your savings account's rate disclosure. A frequent mistake is entering the monthly rate instead of the annual rate, which will produce a dramatically incorrect APY result.

Compounding Frequency

Choose how often interest compounds per year from the dropdown. Most credit cards compound daily (365), most savings accounts compound daily or monthly, and most CDs compound monthly or quarterly. Your account agreement under "How We Calculate Interest" will state the exact method. Choosing monthly when your card compounds daily will understate the true APY.

Principal Amount (Optional)

Entering a principal dollar amount lets the calculator display your annual interest in dollars — not just percentages. Pull this number from your loan balance, savings account balance, or the amount you plan to deposit. Leaving this field blank is fine — the rate conversion works without it.

Term in Years (Optional)

The term field projects total interest earned or paid over multiple years using the converted APY. Use your loan's remaining term or your savings account's planned holding period. Entering a term without a principal amount will produce no dollar output, since both fields are needed together.

Compare Against Rate (Advanced Panel)

The advanced panel lets you enter a competing offer's rate and frequency. The calculator will convert both to APY and show you which is actually better. This field solves the exact problem of comparing a 5.25% APY monthly account against a 5.20% APR daily account — a comparison that requires conversion to resolve.

Five Pro Tips

✅ Always compare products using APY, not APR. APY is the only rate that accounts for compounding — making it the only fair basis for comparing two products with different compounding frequencies.
✅ Use the frequency comparison table to benchmark any offer instantly. Scroll the table to see your input rate converted at every possible frequency — useful when a lender will not disclose their compounding method upfront.
✅ Enter your credit card's exact APR with daily compounding. This produces the true APY your card charges, which is always higher than the APR printed on your statement — and the number that determines your real annual cost.
✅ Use the APY → APR direction when comparing CD rates. Banks advertise CDs in APY — converting back to APR with the correct frequency lets you compare CDs to bond yields or other instruments quoted in APR.
✅ Export the frequency table as a PDF before making a decision. Having the full comparison on paper means you can verify it against the bank's disclosure documents and spot any discrepancy before signing.

Four Pitfall Warnings

⚠️ Confusing monthly rate with annual APR. Some lenders quote a monthly rate (e.g. "1.5% per month"). Entering 1.5 as the APR instead of 18 will produce a completely wrong result — multiply the monthly rate by 12 before entering it as APR.
⚠️ Assuming APY and APR are interchangeable for high-rate debt. At 5% they differ by fractions of a percent. At 25% APR compounded daily, the APY is nearly 3.4 points higher — a difference of hundreds of dollars per year on a typical credit card balance.
⚠️ Using annual compounding for a product that compounds daily. Selecting annual in the frequency dropdown when your card compounds daily will understate your true APY. Always match the frequency to what your account agreement specifies.
⚠️ Comparing a savings APY to a loan APR directly. These two numbers measure the same underlying rate concept but are presented differently by design. Convert both to APY using the same frequency before deciding whether a savings rate "beats" a loan rate.

Real-World APR vs APY Examples

Scenario 1 — Everyday Use: Nadia, 27, Choosing Between Two Savings Accounts

Nadia has $8,000 to deposit and is choosing between two high-yield savings accounts. Account A offers 5.10% APR compounded daily. Account B offers 5.20% APY compounded monthly. She is not sure which one actually pays more.

AccountStated RateFrequencyAPY
Account A5.10% APRDaily (365)5.231%
Account B5.20% APYMonthly5.200%

Exact output: Account A produces $418.48/year on $8,000. Account B produces $416.00/year. Account A is $2.48/year better despite its lower stated rate.

💡 What the calculator revealed: Account B's APY looks higher at first glance. But Account A's daily compounding converts its 5.10% APR to 5.231% APY — 0.031 points above Account B. Without the conversion, Nadia would have picked the lower-yielding account.

Scenario 2 — Professional Use: Marcus, 41, Comparing Business Loan Offers

Marcus runs a small landscaping business and has two loan offers for $35,000 in equipment financing. Lender A quotes 9.50% APR compounded monthly. Lender B quotes 9.25% APR compounded daily. He needs to identify the true cost of each.

LenderAPRFrequencyAPYAnnual Interest
Lender A9.50%Monthly9.920%$3,472
Lender B9.25%Daily9.693%$3,393

Exact output: Lender B's true APY is 9.693% versus Lender A's 9.920%. On $35,000 that is $79/year less in interest — $395 over a 5-year term.

💡 Strategic decision enabled: Marcus initially assumed Lender A's 9.50% rate was better than Lender B's 9.25% because both were APR — he expected the lower number to win. The calculator revealed that Lender A's monthly compounding makes it 0.227 APY points more expensive, costing $395 more over the loan term.

Scenario 3 — High-Stakes Planning: Cora, 34, Paying Off a Credit Card Before Investing

Cora carries a $6,200 credit card balance at 22.99% APR compounded daily. A financial advisor suggested she invest instead of paying off debt because her investment account returned 9% last year. She needs to compare the real rates.

ProductStated RateFrequencyTrue APYAnnual $ on $6,200
Credit card debt22.99% APRDaily (365)25.827%$1,601
Investment return9.00% APYAnnual9.000%$558

Exact output: The credit card's true APY is 25.827% — not 22.99%. Annual interest cost on $6,200 is $1,601. The investment generates only $558 on the same principal. Paying off debt first saves $1,043 per year net.

💡 Downstream impact: By paying off the $6,200 balance in 18 months at $380/month instead of investing, Cora frees $380/month for 20 years afterward. At 7% annual return, those monthly contributions grow to approximately $197,400 — compared to investing the same $380 from year one while carrying the debt, which nets roughly $196,000 after subtracting the extra $1,601/year in credit card interest paid over the same 18 months.

Frequently Asked Questions

APR is the nominal annual interest rate stated on a financial product without accounting for compounding within the year. APY is the effective rate that reflects how often interest actually compounds — daily, monthly, or quarterly. APY is always equal to or higher than APR for the same product because compounding adds interest on top of previously earned interest.

Enter the APR into the rate field, select your compounding frequency from the dropdown, and click Convert Rate. The calculator applies the formula APY = (1 + APR/n)^n − 1, where n is the number of compounding periods per year. A 6% APR compounded monthly becomes 6.168% APY — the calculator shows the exact arithmetic in the results section.

Banks advertise APY on savings accounts because the higher number makes the product look more attractive to savers. They advertise APR on loans because the lower number makes the borrowing cost appear smaller. The Truth in Savings Act requires APY disclosure on deposit accounts, and the Truth in Lending Act requires APR disclosure on credit products — these are separate laws that do not require a unified format.

APY equals APR only when interest compounds once per year (n = 1). For every other compounding frequency — monthly, daily, or continuous — APY is strictly greater than APR. The gap grows as compounding becomes more frequent and as the interest rate itself rises. At 25% APR, daily compounding adds nearly 3.4 percentage points to produce a 28.4% APY.

Use APR when you need to compare the base cost of credit products that compound at the same frequency — for example, two mortgages both compounded monthly. Use APY when comparing any two products that may compound at different frequencies, since APY accounts for that difference. For a fully fair comparison between any two products, convert both to APY using this calculator before deciding.

Continuous compounding produces the theoretical maximum APY for a given APR, using the formula APY = e^APR − 1. At 6% APR, daily compounding gives 6.183% APY while continuous compounding gives 6.184% — a difference of just 0.001 percentage points. Moving from monthly to daily compounding captures the vast majority of the benefit, and continuous compounding adds almost nothing extra in practical terms.

Yes. The calculator accepts any APR from 0.01% to 100% and returns an accurate APY regardless of how high the rate is. Rates above 30% will trigger an amber advisory message suggesting you explore refinancing or balance transfer options, but the calculation will run normally and display the exact converted rate.

Most major U.S. credit card issuers compound interest daily, using a Daily Periodic Rate equal to APR divided by 365. Selecting "Daily (365)" in the compounding frequency dropdown gives the most accurate APY for credit card comparisons. Your cardholder agreement under "How We Calculate Your Balance" will confirm the exact method your issuer uses.

Convert Your Rate in Under 10 Seconds

Enter any APR or APY and see the exact effective rate instantly.

🆓 Free forever 🔒 No sign-up required 🔖 Bookmark for future use

Powered by MultiCalculators.com