APR Calculator

Calculate the Annual Percentage Rate (APR) for any loan including fees, points, and closing costs to reveal the true cost of borrowing.

$
%
yrs
$
pts
Annual Percentage Rate (APR)
6.70%
True cost of borrowing including fees
Nominal Interest Rate
6.50%
Stated rate before fees
APR vs Rate Difference
+0.20%
Extra cost from fees/points
Monthly Payment
$1,896.20
Based on nominal rate
Total Fees & Points
$6,000.00
Upfront costs rolled into APR
Total Interest
$382,633.47
Over full loan term
Total Cost
$682,633.47
All payments combined
Daily Periodic Rate
0.0183%
APR รท 365

APR vs Nominal Rate

Nominal Rate
6.50%
APR
6.70%

Term Comparison

TermMonthly PaymentTotal InterestTotal Paid
5 yrs$5,869.84$52,190.67$352,190.67
10 yrs$3,406.44$108,772.72$408,772.72
15 yrs$2,613.32$170,397.98$470,397.98
20 yrs$2,236.72$236,812.66$536,812.66
25 yrs$2,025.62$307,686.45$607,686.45
30 yrs$1,896.20$382,633.47$682,633.47
Planning notes, formulas, and examples

About the APR Calculator

The Annual Percentage Rate (APR) represents the true yearly cost of borrowing money, incorporating not just the interest rate but also fees, points, and other charges. While a lender may quote a low nominal interest rate, the APR reveals the real cost after factoring in origination fees, closing costs, and discount points.

Federal law (Truth in Lending Act) requires lenders to disclose the APR so borrowers can compare loan offers on equal footing. Two loans with the same interest rate can have vastly different APRs if one charges higher fees. Understanding APR is essential for making informed borrowing decisions.

This calculator computes the APR from your loan terms, fees, and discount points. It shows the difference between the stated interest rate and the true APR, helping you evaluate whether paying upfront fees to lower your rate actually saves money. Use the term comparison table to see how different loan lengths affect your total cost.

When This Page Helps

Lenders compete on interest rate, but the real comparison should be APR. A loan at 6.5% with $8,000 in fees may be more expensive than one at 6.75% with $2,000 in fees. This calculator strips away the marketing and shows you the true cost, enabling apples-to-apples comparisons between loan offers.

How to Use the Inputs

  1. Enter the total loan amount.
  2. Input the nominal (stated) interest rate.
  3. Set the loan term in years.
  4. Add upfront fees as dollars or a percentage.
  5. Include any discount points purchased.
  6. Compare the APR to the nominal rate to see the fee impact.
  7. Use the term comparison table to evaluate different loan lengths.
Formula used
APR is calculated by finding the interest rate that equates the payment on (Loan Amount โˆ’ Total Fees) to the actual monthly payment. Iterative bisection method: find r where (P โˆ’ F) ร— [r(1+r)^n] / [(1+r)^n โˆ’ 1] = actual payment. APR = r ร— 12 ร— 100.

Example Calculation

Result: APR: 6.68% vs 6.50% nominal โ€” $6,000 in fees adds 0.18% to true cost

A $300,000 loan at 6.5% for 30 years with $6,000 in fees yields a monthly payment of $1,896. But the actual amount received is $294,000. The APR of 6.68% reflects this โ€” you pay 6.5% interest on $300,000 but only received $294,000, making the effective rate higher.

Tips & Best Practices

  • Always compare APR, not just interest rate, when shopping for loans.
  • Higher fees increase your APR more on shorter-term loans because the cost is spread over fewer payments.
  • Discount points lower your rate but increase your APR for the first few years โ€” they pay off only if you keep the loan long enough.
  • A no-closing-cost loan may have a higher rate but lower APR for short holding periods.
  • The APR does not include private mortgage insurance (PMI) or homeowner insurance โ€” factor those separately.
  • If two loans have the same APR but different structures, choose the one with lower upfront costs if you might sell or refinance early.

APR and the Truth in Lending Act

The Truth in Lending Act (TILA) requires lenders to disclose the APR on every loan advertisement and disclosure. This federal regulation ensures borrowers can compare the true cost of different loan offers. Without APR, a lender could advertise a low rate while burying thousands in fees.

When APR Misleads

APR assumes you keep the loan for the full term. If you refinance or sell after 5 years, a low-fee loan with a slightly higher rate may cost less than a low-rate loan with high fees. Always consider your expected holding period when comparing APR numbers.

APR for Variable-Rate Loans

For adjustable-rate mortgages (ARMs), the initial APR reflects the introductory rate and fees but does not predict future rate changes. The margin and index determine future rates, so the initial APR may understate the long-term cost.

Sources & Methodology

Last updated:

Methodology

This page treats APR as a closed-end loan worksheet. It first calculates the contractual monthly payment from the full stated principal, note rate, and term. It then subtracts entered upfront fees and discount points from the amount financed and uses a bisection search to solve for the annual rate that would amortize that lower net amount to the same monthly payment over the same number of payments.

That makes the output useful for comparing fixed-payment loan offers with different fee loads, but it is not a substitute for an official lender disclosure. Regulation Z APR calculations depend on which charges are treated as finance charges, exact payment timing assumptions, irregular first periods, and product-specific disclosure rules, so a lender's disclosed APR can differ from this simplified worksheet.

Sources

Frequently Asked Questions

  • The interest rate is the cost of borrowing the principal. APR includes the interest rate plus additional costs like origination fees, closing costs, and discount points, expressed as a yearly rate. APR is always equal to or higher than the interest rate.