Guía de matemática financiera

Page 85

MATEMATICAS FINANCIERAS Tasa efectiva de interés i =2.0% Gradiente aritmético K = $30.000 Solución

A=

1 (1  i) n - 1

 K (1  i) n - ni - 1  n P ( 1  i ) i   i  

 1 3 0 . 000 (1  0 . 02 ) 12 - 1 - 12 * 0.02  12 1 8 . 000 . 000 ( 1  0 . 02 ) 0.02 *   (1  0 , 02 ) 12 - 1  0.02  12  1 3 0 . 000 (1 . 02 ) - 1 - 12 * 0.02   A = 18.000.000 (1 . 02 ) 12 * 0.02   12 (1, 02 ) - 1   0.02 

A=

A=

1 0.268241794

A=

1

0 .268241794 

456567.046

- 4 2362.69184

414204 .3542 

A = $1.544.145,48 2

EL valor de la cuota a pagar es de $1.544.145,482 El valor total a pagar es de = ( A ) (12) + $2.000.000 = $(1.544.145,482(12) + $2.000.000 = $20.529.745,78 El valor total a pagar es de = $20.529.745,78

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