RENTA Aritmética Diferida Perpetua
C1 = C C2 = C+d C3 = C+2d ··· Cn-2 = C+(n-3)d Cn-1 = C+(n-2)d Cn = C+(n-1)d
- La descomponemos como suma de rentas ctes, una de cuntía C y n-1 de cuantía d,
                                                 
Valor actual
 
k C1 C2 Cn-3 Cn-2 Cn-1 Cn    
| ··· | | |
···
| | | | ··· ···
0 k+0 k+1 k+2 k+n-3 k+n-2 k+n-1 k+n
∞
                                                 
                                                 
R0 C· k/a∞ | i
 
k C C C C C C    
| ··· | | |
···
| | | | ··· ···
0 k+0 k+1 k+2 k+n-3 k+n-2 k+n-1 k+n
∞
             
R1 d· k+1/a∞ | i
 
k+1 d d d d d    
| ··· | | |
···
| | | | ··· ···
0 k+0 k+1 k+2 k+n-3 k+n-2 k+n-1 k+n
∞
             
R2 d· k+2/a∞ | i
 
k+2 d d d d    
| ··· | | |
···
| | | | ··· ···
0 k+0 k+2 k+n-3 k+n-2 k+n-1 k+n
∞
  ··· ···     ··· ··· ···        
Rn-3 d· k+n-3/a∞ | i
 
k+n-3 d d d    
| ··· | | | ··· | | | | ··· ···
0 k+0 k+n-3 k+n-2 k+n-1 k+n
∞
             
Rn-2 d· k+n-2/a∞ | i
 
k+n-2 d d    
| ··· | | | ··· | | | | ··· ···
0 k+0 k+n-2 k+n-1 k+n
∞
             
Rn-1 d· k+n-1/a∞ | i
 
k+n-1 d    
| ··· | | | ··· | | | | ··· ···
0 k+0 k+n-1 k+n
∞
                                                 
k/(V0)∞ | i = C· k/a∞ | i + d·∑s1,n-1k+s/a∞ | i
  VALOR Actual PostPagable
- k/( V0)∞| i = lim k/A(C;d) n | i = lim (1+i)-k·A(C;d) n | i = (1+i)-k·A(C;d) ∞ | i
n
∞ n
∞
- k/( V0)∞ | i = (1+i)-k·( C + d / i ) / i = k/A(C;d) ∞ | i
 
VALOR Actual PrePagable
- k/( ··V0)∞| i  = lim k/ ··A(C;d) n | i = lim (1+i) k/A(C;d) n | i = (1+i) k/A(C;d) ∞ | i
n
∞ n
∞
- k/( ··V0)∞| i = (1+i) k/A(C;d) ∞ | i = (1+i)-k+1·( C + d / i ) / i = k/ ··A(C;d) ∞ | i