The Mathematics of APR: Decoding Fees, Finance Charges & Compounding
By Consumer Emergency Aid & Credit Literacy Board•
Executive Summary & Key Takeaways
Deconstructing short-term credit mathematics: nominal fee vs annualized percentage rate formulas, balloon maturity dynamics, and TILA disclosure rules.
Translating nominal transaction fees into annualized percentage rates (APR) provides consumers with the true economic metric for comparing credit products.
1. Calculating Standardized APR
The Mathematical Equation: (Finance Charge ÷ Loan Amount) × (365 ÷ Loan Term in Days) × 100 = Annual Percentage Rate (APR).
Fee Translation Example: A $15 charge on a $100 14-day loan represents 15% nominally, but calculates to a 391.07% annualized rate.
Truth in Lending Act Mandate: Federal law requires lenders to display annualized figures to ensure transparent consumer cost comparisons.
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