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CUOTAS DE
AMORTIZACIÓN e INTERÉS |
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CÁLCULO de la RESERVA MATEMÁTICA por
RECURRENCIA |
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Por analogía con las rentas asociamos el
termino (as, ts) al intervalo (ts-1, ts] como si de |
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una renta postpagable se tratara,
determinando la reserva mat. Rs=Cs una vez pagado as |
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a1 |
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C0 |
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as-1 |
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C1 |
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Cs-1 |
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an-1 |
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Cs |
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an |
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Cn-1 |
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a1 |
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as-1 |
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as |
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an+1 |
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an |
Cn=0 |
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i1 |
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is |
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in |
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t0 |
t1 |
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ts-1 |
ts |
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tn-1 |
tn |
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| - |
Ecuación Dinámica de la amortización |
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Calcula
el saldo Cs en cada
final de intervalo con la recurrencia |
Cs = Cs-1(1+is) - as |
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CUOTA de INTERÉS y CUOTA de AMORTIZACIÓN |
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La cuota de interés es la parte del
termino amortizativo que se destina al pago de intereses |
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y expresa los intereses generados por el
capital (Cs-1 ; ts-1) durante el período (ts-1, ts] y su |
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expresión es, |
Is = Cs-1·is |
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La cuota de amortización es la parte del
termino amortizativo que se destina a reducir el |
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nominal del préstamo y su
expresión es |
As = Cs-1 - Cs |
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Luego
se cumple la siguiente igualdad, |
as = As + Is |
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Expresiones relacionadas : |
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I1 |
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Cs = Cs-1-As |
Cs = Σh |
n |
Ah |
C0 = Σh |
n |
Ah |
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C0 |
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a1 |
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s+1 |
1 |
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Is-1 |
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C1 |
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as-1 |
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Is |
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Is |
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Cs-1 |
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as |
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Cs-1 |
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as |
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As |
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Cs |
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In-1 |
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Cs |
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an-1 |
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as = As + Is |
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In |
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Cn-1 |
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an |
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An |
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Cn=0 |
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t0 |
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t1 |
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ts-1 |
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ts |
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tn-1 |
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tn |
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CAPITAL AMORTIZADO |
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Es el capital ya amortizado en el punto
ts, dado por, Ms = C0 - Cs = Σh |
s |
Ah |
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1 |
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