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Todo mates financieras
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Operaciones financieras simples en régimen decapitalización compuesta
El montante obtenido al final de cada periodo puede ser calculado a partir del capital disponible a
principio del periodo:
C1 = C0 (1 + i ) = C0 (1 + i )
C2 = C1 (1 + i ) = C0 (1 + i )
2
L
= + = ( + )
n
C
n C n −1 (1 i ) C0 1 i
El montante se obtiene a partir de la denominada Ley de Capitalización
Compuesta.
Cn = C0 (1 + i )
n
Matemáticas Financieras
, Tipo de interés compuesto o efectivo
C1 − C0
C
1 = C0 (1 + i ) ⇒ i =
C0
C2 − C1
2
C = C 1 (1 + i ) ⇒ i =
C1
L
Cn − Cn −1
Cn = Cn −1 (1 + i ) ⇒ i = C
n −1
Refleja los intereses que producen al final de cada periodo cada unidad monetaria
disponible al inicio del periodo.
El parámetro i es denominado TIPO DE INTERÉS COMPUESTO O EFECTIVO de la
operación.
El tipo de interés efectivo es una medida:
Rentabilidad: si mi operación es de inversión
Coste: si mi operación es de financiación
Matemáticas Financieras
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