Question

qual é a taxa de juros anual. equivalente a uma taxa mensal de 1%

Answer 1

$\boxed{1 + ia = (1 + ip)^n}\\\ Sendo:\\\\ ia\to~~taxa~~anual;\\\\ip\to~~taxa~~do~~periodo;\\\\n\to ~~quantidade~~de~~periodos.$


Taxa Mensal ---> 1% ---> 1/100 = 0,01

ia= ?
ip= 0,01
n= 12

$1 + ia = (1 + 0,01)^{12}\to \\\\ 1 + ia = (1,01)^{12}\to \\\\ 1 + ia = 1,1268\to \\\\ ia=1,1268-1\to \\\\ia=0,1268\\\\ ia=0,1268\times100\to \\\\ \boxed{ia=12,68~\%}$




$Obs:~~1,01^{12}~\~=~1,12682500301$