GRADIENTES INVERSION

GRADIENTES
1 Calcular el valor presente equivalente a 12 valores mensuales que se inician con $200.000 y cada
periodo aumentan en $2.000 a una tasa de interés periódica del 3% mensual.                 n                             n                   n
         ((1+i) -1)___ + ((1+i) -1)__ + G  ((1+i)  - 1)
P=A             n                       n           i    (1+i)                                                  
           i (1+i)                  i(1+i)                                

P= valor presente de la serie de gradientes
A= Valor presente de la primera cuota de la serie
 i= Tasa de interés de la operación
n= numero depagos o ingresos
G= constante que aumenta cada cuota

P=?
A= 200.000
 i= 3%
 n= 12
G= 2.000

      P
1         2       3      4      5                                                                   12m
     0
                                                                                                                                                                                                               
                            200.000 202.000 204.000  206.000  208.000                                                                             200.000 (n-1) 2.000

                              12                                                  12
                  ((1+0.03) -1       2000     ((1+ 0.03   - 1)    12
VP = 200.000 ----------------------------- +    ----------   *     ----------------------------- - --------                                                        12                                                      12
                   (0.03 (1+0.03)        0.03       (0.03*1.03)        1.03
                                           12                                                          12                        (1.03 - 1)                             (1.03 - 1)
VP= 200.000 * --------------- + 66666.66667 * ------------ - 8416558562
                                          12...