Free APR Calculator
True annual percentage rate on a loan with fees.
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Result
APR
6.695%
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Short answer
APR is the rate that makes the present value of the actual disbursed cash equal to the present value of the scheduled payments. Fees push it above the nominal rate.
What is the APR Calculator?
APR normalizes the true cost of a loan by rolling fees into the rate. It is more comparable across offers than the nominal 'interest rate.'
How does the APR Calculator work?
Compute the scheduled monthly payment at the nominal rate. Subtract fees from the loan amount to get net cash received. Numerically solve for the rate that makes those cash flows balance.
Formula
Variables
PFace loan amountfeesUp-front costs rolled into APRPMTScheduled monthly payment at the nominal rateiMonthly APR (solved numerically)
Explanation
APR is a yield calculation — the rate at which the cash you actually got equals the present value of what you pay back.
Examples
Example 1: $200k, 6.5%, 30 yr, $4k fees
APR ≈ 6.68% — a 0.18 percentage-point uplift over the nominal rate.
Applications
- Comparing mortgage offers
- Auto loan shopping
- Credit card disclosures
Advantages
- Apples-to-apples comparison across lenders
- Regulated disclosure standard in the US and EU
Limitations
- Assumes you hold the loan to full term — early payoff changes the true cost
Common mistakes
- Comparing lenders on nominal rate alone when their fees differ
Tips
- A quoted APR only helps for the exact loan structure it was computed for
Related concepts
The APR Calculator sits inside the Finance Calculators hub, in the loans & debt payoff cluster. Instalment borrowing, credit cards and payoff strategy. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding APR
APR normalizes the true cost of a loan by rolling fees into the rate. It is more comparable across offers than the nominal 'interest rate.' Within finance calculators, apr belongs to the loans & debt payoff cluster, where it shares terminology and assumptions with closely related tools.
Learning how apr is calculated
APR is a yield calculation — the rate at which the cash you actually got equals the present value of what you pay back. Working through the variables one at a time — P, fees, PMT, i — makes the result reproducible by hand and easier to sanity-check.
Using apr to make a decision
Comparing mortgage offers Auto loan shopping Credit card disclosures Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How apr compares with related measures
principal, APR, term, avalanche method all describe adjacent aspects of loans & debt payoff. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
APR vs APY?
APR is for what you pay (loans). APY is for what you earn (savings), and it accounts for compounding.
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