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Correction - Université du Maine

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Excercice 1<br />

Rappel :<br />

A p, p eme amortissement ; i, taux ; K 0 , capital emprunté ; a, annuité ; K p, le<br />

capital restant dû à la fin de p eme amortissement.<br />

◮ A p = A 1 (1 + i) p−1<br />

[<br />

◮ (1+i)<br />

n −1 ]<br />

K 0 = A 1 i<br />

◮ a =<br />

◮ A 1 =<br />

K 0 i<br />

1−(1+i) −n<br />

a<br />

(1+i) n<br />

⇔ a = A 1 (1 + i) n<br />

◮ K p = K 0 − ∑ p<br />

k=1 A k = K 0<br />

(1+i) n −(1+i) p<br />

(1+i) n −1<br />

TD 5<br />

Exercice 1<br />

Exercice 2<br />

Exercice 3<br />

1). n = 10, A 3 = 2103.70, A 6 = 2453.30<br />

A p+1 = A p(1 + i)<br />

Si les annuités sont constantes, les amortissement sont en progression<br />

géométrique de raison (1 + i)

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