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 |
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: simulador tae
[ i_new = i_old - \frac\textNPV(i_old)\textNPV'(i_old) ] TAE = (1
[ \textPrincipal - \textUpfront fees = \sum_p=1^N \frac\textMonthly payment(1+r)^p ] IRR | Metric | Scope | Includes fees
Convergence tolerance: ( 10^-8 ).
