Convert between APR and APY, calculate the true cost of loans with fees, compare multiple loans, and see credit card payoff scenarios.
Try an example:
Formula:
APY = (1 + APR/n)^n - 1
where n = compounding periods per year
Enter a rate to see the conversion.
30-Year Fixed Mortgage
6.5% - 7.5%
Source: Freddie Mac
15-Year Fixed Mortgage
5.75% - 6.75%
Source: Freddie Mac
New Auto Loan
5% - 8%
Source: Bankrate
Used Auto Loan
7% - 12%
Source: Bankrate
Personal Loan
8% - 18%
Source: NerdWallet
Credit Card
18% - 28%
Source: Federal Reserve
Student Loan (Federal)
5.5% - 8%
Source: Federal Student Aid
HELOC
8% - 11%
Source: Bankrate
The Annual Percentage Rate (APR) is a standardized measure of the cost of borrowing money, expressed as a yearly rate. According to the Consumer Financial Protection Bureau (CFPB), APR represents the true cost of borrowing because it includes not just the interest rate but also certain fees associated with obtaining the loan.
For borrowers, understanding APR is crucial for comparing different loan offers on an apples-to-apples basis. A loan with a lower interest rate but higher fees might actually have a higher APR than a loan with a slightly higher interest rate and lower fees. The Federal Reserve's Regulation Z requires lenders to disclose the APR on most consumer loans, ensuring transparency in lending practices.
APR differs significantly from the nominal interest rate because it accounts for the compounding effect over time. When interest compounds more frequently (daily vs. monthly vs. annually), the effective cost to the borrower increases. This is why a credit card with a 24% APR that compounds daily actually costs more than 24% annually. To model your monthly loan payments and understand the total loan cost, our loan payment calculator translates APR directly into the dollar amounts you will pay each period.
Financial professionals use APR as a key metric when evaluating loans, credit cards, and other financing options. For savers, the related concept of APY (Annual Percentage Yield) shows the actual return earned on deposits when compounding is factored in. Our compound interest calculator can help you visualize how compounding affects your savings over time.
APR to APY Conversion Formula:
APY = (1 + APR/n)^n - 1
Where n = number of compounding periods per year
APY to APR Conversion Formula:
APR = n * [(1 + APY)^(1/n) - 1]
Where n = number of compounding periods per year
For a 12% APR with monthly compounding (n=12):
APY = (1 + 0.12/12)^12 - 1 = 12.68%
The 0.68% difference represents the additional cost due to compounding.
While APR and APY are related concepts, they serve different purposes and are used in different contexts. Understanding when each applies helps you make better financial decisions.
Banks and lenders strategically use APR vs APY depending on what makes their product look more attractive. For loans, they advertise the lower APR; for savings accounts, they advertise the higher APY. Always compare like with like when evaluating financial products. Use our interest rate calculator to understand the full impact of interest on your finances.
A credit card with 24.99% APR and daily compounding.
The effective rate is 3.37% higher than the stated APR due to daily compounding. On a $5,000 balance carried for a year, this means paying approximately $1,418 in interest instead of the $1,250 you might expect from the 24.99% APR alone.
A 30-year fixed mortgage at 7.0% APR with monthly compounding.
The effective annual rate is 7.23%. On a $400,000 mortgage, you would pay approximately $558,039 in total interest over the life of the loan. Using our loan payment calculator can help you see the full amortization schedule.
A savings account advertising 5.0% APY with daily compounding.
The nominal APR is 4.88%, but you earn the full 5.0% APY due to daily compounding. On a $50,000 deposit held for one year, you would earn $2,500 in interest. Compare this to quarterly compounding which would yield slightly less.
While APR is a valuable metric for comparing loan costs, it has limitations that borrowers should understand when making financial decisions.
APR may not include certain fees such as late payment fees, prepayment penalties, or required insurance costs. These additional expenses can significantly increase the true cost of borrowing beyond what the APR suggests.
Many loans and credit cards have variable APRs tied to the prime rate or other benchmarks. The disclosed APR represents current rates but may change over time, making long-term cost projections uncertain.
APR calculations typically assume you will keep the loan for its full term. If you pay off early or refinance, the effective cost may differ significantly due to front-loaded interest and fees that were spread over the original term.
Lenders may use slightly different methods to calculate APR, especially regarding which fees to include. This can make direct comparisons between lenders imperfect despite standardization efforts.
APR does not account for the timing of payments within the year. A loan requiring monthly payments has a different cash flow impact than one with quarterly payments, even at the same APR. Use our amortization schedule calculator to see exactly when and how your payments are applied.
For more guidance, visit the Accounting tools hub and the Valuefy blog.
Pair this tool with the Profit & Loss Generator and the Amortization Calculator to cross-check inputs. For strategic context, read our business acquisition process guide and explore the Accounting & Depreciation tools hub.
APR is the stated annual interest rate, while APY includes the effect of compounding. For the same rate, APY will always be higher than APR when interest compounds more than once per year.
More frequent compounding increases the effective cost for borrowers and the effective return for savers. Daily compounding (common for credit cards) results in significantly higher costs than monthly or annual compounding.
Always compare loans using the effective APR that includes all fees, not just the stated interest rate. A loan with a lower rate but higher fees may cost more than one with a higher rate and lower fees.
Credit card APRs are particularly deceptive because daily compounding means the effective rate is 3-4 percentage points higher than the stated APR. A 24% APR credit card actually costs about 27% annually.
When evaluating savings accounts, look at the APY rather than APR. Banks advertise APY for deposits because the compounding effect makes the return look more attractive to savers.
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