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Correction - Université du Maine

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Excercice 3<br />

1). 1 er méthode : le taux mensuel proportionnel i 1 au taux annuel<br />

(a).<br />

i 1 =<br />

i<br />

12 = 0.01<br />

(b). déterminer ”a” mensualité constante<br />

K 0 i<br />

a =<br />

1 − (1 + i) −n = 1000 × 0.01<br />

= 88.85<br />

1 − (1 + 0.01) −12<br />

A noter que le capital emprunté = la somme des amortissements<br />

TD 5<br />

Exercice 1<br />

Exercice 2<br />

Exercice 3<br />

12∑<br />

a p =<br />

p=1<br />

⇕<br />

12∑ 12∑<br />

A p + I p<br />

p=1 p=1<br />

12∑<br />

88.85 × 12 = K 0 + I p<br />

p=1<br />

⇒ Coût <strong>du</strong> crédit = ∑ 12<br />

p=1 Ip<br />

12∑<br />

I p = 66.20<br />

p=1

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