APR Calculator
Understand the true cost of borrowing.
Understanding APR Calculator
The APR Calculator estimates the annual percentage rate of a fixed-rate installment loan while taking applicable upfront fees into account. Unlike a stated interest rate, which describes the cost of borrowing the principal, APR provides a broader measure of borrowing cost by reflecting both the interest and certain fees associated with obtaining the loan. This can make APR useful when comparing loans that have different fees even when their advertised interest rates are similar.
A loan with a lower interest rate is not necessarily the less expensive option if it also has substantially higher fees. Because fees reduce the amount of money the borrower effectively receives while the scheduled payments remain based on the loan amount, those fees can increase the effective cost of borrowing. The effect can be especially noticeable on shorter-term loans because the fees are spread over fewer payment periods.
Using this calculator with your own numbers
To use APR Calculator effectively, enter the values requested by the calculator and keep their units and meaning consistent. The main information requested on this page includes Loan Amount ($), Interest Rate (%), Loan Term (years), Fees ($). If the calculator offers selectable methods or options, choose the one that matches the question you are trying to answer.
Reading the number correctly
The result is calculated from the inputs shown on this page, so it is most useful when you understand what each input represents. Before relying on the number, check the units, the scale of the result, and any assumptions described above the calculator.
About APR Calculator
The APR Calculator estimates the annual percentage rate of a fixed-rate installment loan while taking applicable upfront fees into account. Unlike a stated interest rate, which describes the cost of borrowing the principal, APR provides a broader measure of borrowing cost by reflecting both the interest and certain fees associated with obtaining the loan. This can make APR useful when comparing loans that have different fees even when their advertised interest rates are similar.
A loan with a lower interest rate is not necessarily the less expensive option if it also has substantially higher fees. Because fees reduce the amount of money the borrower effectively receives while the scheduled payments remain based on the loan amount, those fees can increase the effective cost of borrowing. The effect can be especially noticeable on shorter-term loans because the fees are spread over fewer payment periods.
How APR Is Calculated
The calculator first determines the monthly payment using the entered loan amount, stated interest rate, and repayment term. It then subtracts the upfront fees from the loan amount to estimate the net proceeds actually received by the borrower. The APR is the annualized rate that makes the present value of the scheduled monthly payments equal to those net proceeds.
Because the APR rate appears inside the payment formula, it cannot normally be isolated using a simple algebraic calculation. The calculator therefore solves for the monthly APR rate numerically and then annualizes it. When no fees are entered, the estimated APR will match the stated interest rate under this fixed monthly-payment model.
APR Formula
The APR calculation is based on the relationship between the amount actually received and the future loan payments:
Net Proceeds = Payment × [1 − (1 + r)−n] ÷ r
Where r is the monthly APR rate, n is the total number of monthly payments, and Payment is the scheduled monthly loan payment. The monthly rate is then annualized to obtain the estimated APR.
APR vs. Interest Rate
The interest rate and APR are related but they are not the same measure. The interest rate is used to determine how much interest accrues on the loan balance. APR is intended to provide a broader representation of the annualized borrowing cost by incorporating certain finance charges in addition to interest.
For example, two loans could both advertise a 6% interest rate while one charges $500 in upfront fees and the other charges no fees. The loan with the fee has a lower amount of money effectively received by the borrower, while the repayment obligation remains based on the original loan amount. As a result, its estimated APR will generally be higher.
Understanding Your Results
Estimated APR shows the annualized borrowing rate after accounting for the entered upfront fees under the calculator's fixed-payment model. It provides a more complete cost measure than the stated interest rate alone.
Monthly Payment is the regular payment required to repay the loan over the selected term at the stated interest rate. Total Interest is the interest paid over the scheduled repayment period, while Total Payments represents all scheduled principal and interest payments.
Total Cost Including Fees combines the scheduled loan payments with the entered upfront fees. The Amount Actually Received section shows how the fees reduce the amount of the original loan that is effectively available to the borrower.
How Loan Fees Affect APR
Upfront fees can have a noticeable effect on APR because they increase the cost of obtaining the loan without increasing the amount of money actually received. Origination fees, processing charges, and certain other finance charges may therefore make a loan's APR higher than its stated interest rate.
The impact of fees depends on both their size and the loan term. A $500 fee represents a larger annualized cost when attached to a short-term loan than when the same fee is spread across a much longer repayment period. This is one reason APR can be useful when comparing borrowing offers with different fee structures.
Example
Consider a $10,000 loan with a 6% annual interest rate, a three-year repayment term, and $500 in upfront fees. The monthly payment is calculated from the $10,000 loan amount and the 6% interest rate, while the fees reduce the amount effectively received by the borrower to $9,500.
Because the borrower receives less money but remains responsible for the scheduled loan payments, the estimated APR is higher than the stated 6% interest rate. The calculator shows the resulting APR along with the monthly payment, total interest, total cost, and net proceeds.
Factors That Affect APR
Several factors can influence the estimated APR of an installment loan. The interest rate affects the size of the scheduled payments, while the loan term determines how long those payments continue. Upfront fees increase the cost of obtaining the loan, and their effect can become more significant when the repayment period is short.
APR comparisons are most useful when the loans being compared have similar repayment structures and the same types of charges are included. Variable-rate loans, irregular payment schedules, optional products, penalties, taxes, insurance, and charges that are not included in the calculator can produce results that differ from the estimate shown here.
How to Use the APR Calculator
Enter the loan amount, stated annual interest rate, repayment term, and any upfront fees charged for the loan. Select Calculate to view the estimated APR and the supporting loan-cost details. You can then change the interest rate, term, or fees to see how different loan structures affect the estimated borrowing cost.
Financial Disclaimer
Results are estimates only and should not be considered financial, investment, tax, or legal advice. Please consult a qualified professional before making financial decisions.