Question

Considerando a taxa de 36% am, Calcule a taxa equivalente:

a) quadrimestral
b) semestral
c) anual

Answer 1

Taxa i = 36% am = 36/100 am = 0,36 am

a) Quadrimestral:

1 + iq = (1 + im)^4

1 + iq = (1 + 0,36)^4

1 + iq = (1,36)^4

1 + iq = 3,4210

i = 3,4210 - 1

i = 2,4210

i = 2,4210 x 100 = 242,10% aq   (juros compostos

i = 36% x 4 = 144% aq  (juros simples)

b) Semestral

1 + is = (1 + im)^6

1 + is = (1 + 0,36)^6

1 + is = (1,36)^6

1 + is = 6,3275

is = 6,3275 - 1

is = 5,3275 

is = 5,3275 x 100

is = 532,75 as (juros compostos)

i = 36% x 6 = 216% (juros simples)

c) Anual

1 + ia = (1 + im)^12

1 + ia = (1 + 0,36)^12

1 + ia = (1,36)^12

1 + ia = 40,037

ia = 40,037 - 1

ia = 39,037

ia = 3903,7% aa

ia = 36% x 12 = 432% aa

Espero ter ajudado.