Tae - Simulador

Convergence tolerance: ( 10^-8 ).

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) ] simulador tae

[ \sum_k=1^n \fracC_k(1 + i)^t_k = \sum_j=1^m \fracP_j(1 + i)^t_j ]

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: Convergence tolerance: ( 10^-8 )

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.

If fees are charged upfront or spread across periods, they are included as additional cash flows at their respective times. A robust simulator must handle: APR (USA) vs

Then convert ( r ) to TAE: [ \textTAE = (1 + r)^12 - 1 ]