RESUMEN : VALOR de una RENTA DISCRETA GEOMÉTRICA

PostPagable

Definición

Fórmula

Nombre

q = 1 + i

Temporal :

V. act, inmediata

( V0)n | i

=

Σs1,nCqs-1(1+i)-s

C·[1-qn(1+i)-n] / (1+i-q)

A(C;q)n | i

C·n·(1+i)-1

V. act, diferida d per.

d /( V0)n | i

=

Σs1,nCqs-1(1+i)-(d+s)

(1+i)-d · A(C;q)n | i

d / A(C;q)n | i

··················

V. fin, inmediata

( Vn)n | i

=

Σs1,nCqs-1(1+i)n-s

(1+i) n · A(C;q)n | i

S(C;q)n | i

C·n·(1+i)n-1

V. fin, anticipada h per.

h /( Vn)n | i

=

Σs1,nCqs-1(1+i)h+n-s

(1+i) n+h · A(C;q)n | i

h / S(C;q)n | i

··················

Perpetua :

V. act, inmediata

( V0)∞ | i

=

Σs1,∞Cqs-1(1+i)-s

C / (1+i-q)

A(C;q)∞ | i

solo si q < i+1

V. act, diferida d per.

d /( V0)∞ | i

=

Σs1,∞Cqs-1(1+i)-(d+s)

(1+i)-d · A(C;q)∞ | i

d / A(C;q)∞ | i

PrePagable

Definición

Fórmula

Nombre

q = 1 + i

Relaciones

Temporal :

V. act, inmediata

( ··V0)n | i

=

Σs1,nCqs-1(1+i)-(s-1)

(1+i) · A(C;q)n | i

··A(C;q)n | i

C·n

(1+i)·A(C;q)n | i

V. act, diferida d per.

d /( ··V0)n | i

=

Σs1,nCqs-1(1+i)-(d+s-1)

(1+i)-d ···A(C;q)n | i

d / ··A(C;q)n | i

··················

··················

V. fin, inmediata

( ··Vn)n | i

=

Σs1,nCqs-1(1+i)n-(s-1)

(1+i) n ···A(C;q)n | i

··S(C;q)n | i

C·n·(1+i)n

(1+i)·S(C;q)n | i

V. fin, anticipada h per.

h /( ··Vn)n | i

=

Σs1,nCqs-1(1+i)h+n-(s-1)

(1+i) n+h ···A(C;q)n | i

h / ··S(C;q)n | i

··················

··················

Perpetua :

V. act, inmediata

( ··V0)∞ | i

=

Σs1,∞Cqs-1(1+i)-(s-1)

(1+i) ·A(C;q)∞ | i

··A(C;q)∞ | i

(1+i)·A(C;q)∞ | i

solo si q < i+1

V. act, diferida d per.

d /( ··V0)∞ | i

=

Σs1,∞Cqs-1(1+i)-(d+s-1)

(1+i)-d ···A(C;q)∞ | i

d / ··A(C;q)∞ | i

··················