Formulas_Capitalizacion_Simple

FÓRMULAS CAPITALIZACIÓN SIMPLE
Réditos y Tipos de Interés
1.

r=

C 2 − C1
C1

Equivalencia de Capitales

C 2 − C1
r
i
=
= C1
2.
t 2 − t1
t2 − t1

Capitalización Simple
3.

Cn = C 0 ⋅ (1 + n ⋅ i)

Cn
−1
C
0
5. In = C 0 ⋅ n ⋅ i 6. i = n
8. i = ik ⋅ k
Descuento Racional
11. Dr =Cn − C 0
9. Dr = C 0 ⋅ n ⋅ i

Cn ⋅ n ⋅ i
D
r =
10.
1+ n⋅ i

Cn
C
0 =
12.
1+ n⋅i

Descuento Comercial
13.

Dc = Cn ⋅ n ⋅ d

14.

Dc = Cn −C0

15.

Descuento Racional: Mto. 0
n

19.

Cs
⋅ (1 + t ⋅ i)
18. C = ∑
s =1 1 + ts ⋅ i

Cs
s = q 1 + (ts − t ) ⋅ i

C 0 = Cn ⋅ (1 − n ⋅ d)

s= 1,K,p ⇒ ts < t
s = q,K, z ⇒ ts > t

z

+ ∑ Cs ⋅ (1 − (ts − t ) ⋅ d)

Descuento Comercial: Mto. 0

s =q

Descuento Racional

C
−1
n
Cs
∑22. t = s=1 1 + ts ⋅ i
i
Vencimiento Medio
Descuento Racional

d
i
=
17.
1− n ⋅ d

+∑

s =1

Vencimiento Común

n

∑C
s =1

24. t =

Cs

∑ 1+t ⋅ i
s

s =1

i

n

21.

∑ C ⋅ (1 − t ⋅ d)
s

C=

s =1

1− t ⋅ d

Descuento Comercial

23. t =

n

n

s =1

s =1

C − ∑ Cs + d ⋅ ∑ Cs ⋅ ts
C⋅d

C = C1 + C2 + ... + Cn
Descuento Comercial
n

−1

s

C ≠ C1 + C2 + ... + Cn

s

n

C = ∑ Cs ⋅ (1 + (t − ts ) ⋅ i) +
z

20. C = ∑ Cs ⋅(1 + (t − ts ) ⋅ i) +

s = 1,K,p ⇒ ts < t
s = q,K, z ⇒ ts > t

p

s =1

p

Tanto de Interés y Descuento Equivalentes

i
d
=
16.
1+ n ⋅ iDescuento Racional: Mto. t

Descuento Comercial: Mto. t

Cn
−1
7. n = C 0
i

4. Cn = C 0 + In

Capital Común

∑ C ⋅t

s s

25. t =

s =1

C