Correction - Université du Maine
Correction - Université du Maine
Correction - Université du Maine
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(c).<br />
TD 5<br />
Mois Capital Amortissement Intérêt Mensualités<br />
restant dû<br />
constantes<br />
1 K 0 = 1000 A 1 = 79.04 I 1 = iK 0 = 9.5 88.54 = A 1 + I 1<br />
2 K 1 = K 0 − A 1 A 2 = a − I 2 I 2 = iK 1 = 8.75 88.54 = A 2 + I 2<br />
= 920.96 = 79.79<br />
.<br />
.<br />
11 K 10 = 175 A 11 = 86.88 I 11 = 1.6625 88.54<br />
12<br />
∑<br />
K 11 = 88.12 A 12 = 87.7 I 12 = 0.8371 88.54<br />
K 0 − ∑ ∑ ∑ ∑<br />
K i = 0 Ap = K 0 Ip = 62.48 ap = 1062.48<br />
i.e.,<br />
K p = K 0<br />
(1 + i) n − (1 + i) p<br />
(1 + i) n − 1<br />
⇓<br />
K 10 = K 0<br />
(1 + i) 12 − (1 + i) 10<br />
(1 + i) 12 − 1<br />
= 175<br />
Exercice 1<br />
Exercice 2<br />
Exercice 3