⭐ Financial LiteracyUpdated: September 2, 2026

Understanding APR Calculations: How a $15 Fee on a $100 14-Day Advance Equals 391% APR

Reviewed by Consumer Cash Advance & Short-Term Lending Review Board

The quantitative mathematics of Truth in Lending Act (TILA) calculations: annualized finance charges, 14-day terms, and understanding 391% APR disclosures.

Federal law requires all lenders to disclose borrowing costs as an Annual Percentage Rate (APR) to allow standardized comparisons, even for two-week emergency loans.

1. The TILA APR Formula

The Standard APR Formula

$$\text{APR} = \left( \frac{\text{Finance Charge (\$)}}{\text{Loan Amount (\$)}} \right) \times \left( \frac{365}{\text{Term (Days)}} \right) \times 100$$ On a $100 loan with a $15 fee for 14 days: $$\text{APR} = \left( \frac{15}{100} \right) \times \left( \frac{365}{14} \right) \times 100 = 0.15 \times 26.0714 \times 100 = 391.07\%$$

Loan AmountFinance Fee ($15 per $100)Loan TermDisclosed Nominal APR
$100.00$15.0014 Days391.07% APR
$300.00$45.0014 Days391.07% APR
$500.00$75.0030 Days182.50% APR

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