Annual Percentage Rate (APR) represents the yearly cost of borrowing money or the yearly return on an investment, expressed as a percentage. Unlike just the interest rate, APR includes all fees and additional costs associated with a loan, making it a more comprehensive measure of the true cost of borrowing.
Annual Percentage Rate (APR)
Key Points about APR
- Inclusive of Costs – APR includes not only the nominal interest rate but also fees such as loan origination fees, closing costs, and other charges, depending on the type of loan.
- Standardized Comparison – Because APR accounts for fees, it allows borrowers to compare different loan offers on an apples-to-apples basis, even if the interest rates or fee structures differ.
- Types of APR:
- Nominal APR: Only the stated interest rate.
- Effective APR (EAR/APY): Takes compounding into account, giving the actual yearly cost of borrowing.
- Applications:
- Loans & Mortgages: Helps understand the true cost of borrowing.
- Credit Cards: Shows the annual cost if you carry a balance.
- Investments: Some investments quote APR to show yearly return, though compounding might affect the actual earnings.
- APR differs from APY (Annual percentage yield), as the latter accounts for compound interest, making it a more precise reflection of actual financial cost or gain.
APR Example:
If a loan has a 10% interest rate plus 2% fees, the APR might be around 12%, reflecting the total yearly cost of the loan.
APR Calculation
APR is calculated by multiplying the periodic interest rate by the number of periods in a year in which it was applied. It does not indicate how many times the rate is actually applied to the balance.
APR = ((\frac{\frac{(Fees+Interest)}{Principal}}{n})\times365)\times100
where:
- Interest = Total interest paid over life of the loan
- Principal = Loan amount
- n = Number of days in loan term
APR VS APY
While APR accounts for simple interest, the annual percentage yield (APY) includes compound interest, making it higher. As a result, a loan’s APY is higher than its APR. A higher interest rate and shorter compounding periods increase the difference between APR and APY.
APR shows the yearly cost of borrowing or the return on an investment, without considering compounding. It Includes interest and fees, but not how often interest is applied. APY Shows the effective annual rate, including compounding. It reflects how much you actually earn (or pay) in a year if interest is compounded.
Example: A 12% APR on a loan means you pay 12% of the principal per year, plus any fees, regardless of whether interest is compounded monthly or daily. A savings account with a 12% APR compounded monthly would have an APY of about 12.68%, because interest earns interest each month.