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 |
Then convert ( r ) to TAE: [ \textTAE = (1 + r)^12 - 1 ] simulador tae
[ i_new = i_old - \frac\textNPV(i_old)\textNPV'(i_old) ] TAE = (1
A is a software tool (often a web or Excel-based calculator) that computes TAE from loan parameters or, conversely, estimates real costs given a TAE and principal. It is critical for consumer credit transparency, mortgage comparison, and financial education. 2. Mathematical Definition of TAE The TAE is the solution ( i ) (expressed as a percentage) to the equation of equivalence of financial flows: IRR | Metric | Scope | Includes fees
[ \sum_k=1^n \fracC_k(1 + i)^t_k = \sum_j=1^m \fracP_j(1 + i)^t_j ]
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.