amort.py

Created by tahiawalettebaye1

Created on June 30, 2025

917 Bytes


Math 

Annuite constante 

A = C x ( i / 1-(1+i)^-n)

Dette n = dette n-1 - amort n-1
Obligations

I = (C n t) /100

Ca = C + I

Ca = C x (100 + n t)/100

V0 = Vn (1+i)ˆ-n

Somme placement suite capitalisee pour calculer cap acquis au bout dune periode 

Vn = a x ((1+i)ˆn  - 1) / i

Pour l inverse
= Vn (1+i)ˆ-n

Actualisation 
V0 = a x (1-(1+i)ˆ-n) / i

Emprunt indivis

D0  = a x (1 - (1+i)ˆ-n) / i 

a = D0i (int) + m1 (amort)
a = D1i (int) + m2 (amort)

a = D1 + m2

m1  =  D0i / (1+i)ˆn  - 1

Dernier dette = dernier amort 

Tab = Periode / Dette origine / Int / Amort / Annuite 


Emprunt obligataire

D0 (empr emis) = N (Nbre oblig) x mu 0 (nominal oblig)

v0 (val emiss oblig) = mu0 - E (eptilon val decrement baisse / rapport val nom)

Pour emprunteur
Nv0 = N (mu0 - E)

Pour preteur
Eff (val effective) = mu0 + E0

Tab = periode / nbre oblig vivantes / Dette origine / int / amort / annuite 

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