Your APR is LOAN_APR for this loan.

Annual Percentage Rate (APR) is a standard calculation used by lenders. It is designed to help borrowers compare different loan options. For example, a loan with a lower stated interest rate may be a bad value if its fees are too high. Likewise, a loan with a higher stated rate with very low fees could be an exceptional value. APR calculations incorporate these fees into a single rate. You can then compare loans with different fees, rates or different terms. While APR calculations may vary from lender to lender to a small degree, all lenders must follow the same basic rules.

APR is computed in two steps

The first step is to calculate an APR payment amount. This is done by adding your closing costs to your loan amount, and then calculating a new monthly payment at your loan's interest rate. In this case, if you borrowed (LOAN_AMOUNT + TOTAL_CLOSING_COSTS) at INTEREST_RATE for TERM years, your APR monthly payment would be LOAN_APR_PAYMENT. Notice that this is different than your actual payment of MONTHLY_PI.

The second step is to calculate what interest rate produces a monthly payment equal to the APR payment amount. In this case, we calculate the interest rate that would require a LOAN_APR_PAYMENT monthly payment on a loan of TERM years in the amount of LOAN_AMOUNT. The result is LOAN_APR which is the APR for your loan.

Note: It is important to point out that the APR for a loan with no fees is always the same as the stated interest rate. If you have a loan where the lender pays you for taking a higher interest rate, your APR for that loan may be lower than the stated interest rate.

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