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Correction - Université du Maine

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1).<br />

∑<br />

1975 ∼ 1984 = 24000(1 + i) 9 + · · · + 24000(1 + i) + 24000<br />

= 24000[1 + (1 + i) + · · · + (1 + i) 9 ]<br />

= 24000 ×<br />

= 373447<br />

1 − (1 + i)10<br />

1 − (1 + i)<br />

TD 5<br />

Exercice 1<br />

Exercice 2<br />

Exercice 3<br />

V 1990 = ∑ 1975 ∼ 1984 × (1 + i) 6 = 643745<br />

2).<br />

⇒<br />

V 1990 = K 0 = a (1 + i)n − 1<br />

i<br />

n = ln(1+ K 0 i<br />

a )<br />

ln(1+i) = 20

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