[ i_new = i_old - \frac\textNPV(i_old)\textNPV'(i_old) ]
[ \sum_k=1^n \fracC_k(1 + i)^t_k = \sum_j=1^m \fracP_j(1 + i)^t_j ] simulador tae
TAE = (1.005286)^12 – 1 = 0.0653 → 6.53% (higher than nominal 6% due to fees) 7. Comparison: TAE vs. APR (USA) vs. IRR | Metric | Scope | Includes fees? | Compounding | |--------|-------|----------------|--------------| | TAE (EU) | Consumer credit, mortgages | Yes, mandatory recurring fees | Effective annual | | APR (USA) | Reg Z (Truth in Lending) | Some fees, but not all | Nominal annual | | IRR | Investment projects | Any cash flows | Periodic | [ i_new = i_old - \frac\textNPV(i_old)\textNPV'(i_old) ] [
1. Executive Summary The TAE (Tasa Anual Equivalente) — Annual Equivalent Rate — is a standardized financial metric mandated by EU and many Latin American banking regulations (e.g., Spain’s Ley 16/2011, Chile’s Ley de Protección al Consumidor). Unlike the nominal interest rate, TAE includes all compulsory costs of a loan or deposit (interest, origination fees, commissions, insurance premiums if mandatory) expressed as an annual percentage. IRR | Metric | Scope | Includes fees