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Annexe D: Formules utilisées 191
File name: hp 12c_user's guide_Canada French_HDPMBF12130 Page: 191 of 217
Printed Date: 2005/7/29 Dimension: 14.8 cm x 21 cm
 
n
n
iFV
i
i
PMTiSPV
++
+
++= )1(
)1(1
)1(0
Avec intérêt simple pour une période incomplète :
 
)(INTG
)INTG(
)1(
)1(1
)1(])FRAC(1[0
n
n
iFV
i
i
PMTiSniPV
+
+
+
+++=
Avec intérêt composé pour une période incomplète :
 
)(INTG
)INTG(
)FRAC(
)1(
)1(1
)1()1(0
n
n
n
iFV
i
i
PMTiSiPV
+
+
+
+++=
Amortissement
n
= nombre de périodes de paiement pour amortissement.
INT
j
= montant de PMT correspondant aux intérêts sur la période j.
PRN
j
= montant de PMT correspondant au remboursement du
principal sur la période j.
PV
j
= valeur actuelle (solde) du prêt après paiement de la période j.
j
= numéro de la période.
INT
1
= {0 si n = 0 et le mode de paiement est en début de période.
|PV
0
× i|
RND
(signe de PMT)
PRN
1
= PMTINT
1
PV
1
= PV
0
+ PRN
1
INT
j
= |PV
j –1
× i|
RND
× (signe de PMT) pour j > 1.
PRN
j
= PMT – INT
j
PV
j
= PV
j –1
+ PRN
j
 
=
+++==
n
nj
INTINTINTINTINT
1j
2
1
...
=
+++==
n
nj
PRNPRNPRNPRNPRN
1j
2
1
...
+= PRNPVPV
n
0
191


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