Regle Actuariat AJ

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XPo =B4/$B$4 B4 = S x0 1/(1+i)^x = (1+$D$1)^-A4 D1 = i le taux A4 = âge 0 1/(1+i)^0,5 = (1+$D$1)^-0,5 D1 = i le taux 1Px =B5/B4 B5 = S x1 B4 = S x0 1dx =1-F4 F4 =1Px Dx XPo * 1/(1+i)^x Cx D x0 * (1-S x1 /S x0 ) * (1+$i%$)^-0,5 Nx =SOMME (H4:$H$110) Somme de Dx Mx =SOMME (I4:$I$110) Somme de Cx contrat vie entière π = Cd * Mx/Dx P = Cd * Mx/Nx contrat capital différé π = Cv * D x+n /Dx P = Cv * D x+n /(Nx – N x+n ) contrat temporaire décès π = Cd * (Mx-M x+n )/Dx P = Cd * (Mx-M x+n )/(Nx - N x+n ) contrat mixte (C décès + C cap différé) π = Cd * (Mx-M x+n )/Dx + Cv * D x+n /Dx P= (Cd *(Mx-M x+n )+ Cv*D x+n )/(Nx - N x+n ) Prime commerciale contrat capital différé π = CV * D x+n / Dx P = CV * D x+n / (Nx - N x+n ) π' = 1/(1-Com) * (Cv*(Nx - N x+n )/Dx + Cv * D x+n /Dx) P' = 1/((1-Com) * (Nx - N x+n )) * (FGCv * Cv * (Nx - N x+n ) + Cv * D x+n ) contrat temporaire décès π = Cd * (M x - M x+n ) / Dx P = Cd * (M x - M x+n ) / (Nx - N x+n ) π' = 1/(1-Com) * (FGCv * Cd * (Nx - N x+n ) / Dx + Cd * (M x - M x+n ) / Dx) P' = 1/((1-Com) * (Nx - N x+n )) * (FGCv * Cd * (Nx - N x+n ) + Cd * (M x - M x+n ) )

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Regle Actuariat AJ

Transcript of Regle Actuariat AJ

XPo=B4/$B$4B4 = S x0

1/(1+i)^x= (1+$D$1)^-A4D1 = i le tauxA4 = ge 0

1/(1+i)^0,5= (1+$D$1)^-0,5D1 = i le taux

1Px=B5/B4B5 = S x1 B4 = S x0

1dx=1-F4F4 =1Px

DxXPo * 1/(1+i)^x

CxDx0 * (1-Sx1/Sx0) * (1+$i%$)^-0,5

Nx=SOMME (H4:$H$110)Somme de Dx

Mx=SOMME (I4:$I$110)Somme de Cx

contrat vie entire = Cd * Mx/Dx

P = Cd * Mx/Nx

contrat capital diffr = Cv * Dx+n/Dx

P = Cv * Dx+n/(Nx Nx+n)

contrat temporaire dcs = Cd * (Mx-Mx+n)/Dx

P = Cd * (Mx-Mx+n)/(Nx - Nx+n)

contrat mixte(C dcs + C cap diffr) = Cd * (Mx-Mx+n)/Dx + Cv * Dx+n/Dx

P= (Cd *(Mx-Mx+n)+ Cv*Dx+n)/(Nx - Nx+n)

Prime commerciale

contrat capital diffr

= CV * Dx+n / Dx P = CV * Dx+n / (Nx - Nx+n)

' = 1/(1-Com) * (Cv*(Nx - Nx+n)/Dx + Cv * Dx+n/Dx)

P' = 1/((1-Com) * (Nx - Nx+n)) * (FGCv * Cv * (Nx - Nx+n) + Cv * Dx+n )

contrat temporaire dcs = Cd * (Mx - Mx+n) / Dx P = Cd * (Mx - Mx+n) / (Nx - Nx+n)

' = 1/(1-Com) * (FGCv * Cd * (Nx - Nx+n) / Dx + Cd * (Mx - Mx+n) / Dx)

P' = 1/((1-Com) * (Nx - Nx+n)) * (FGCv * Cd * (Nx - Nx+n) + Cd * (Mx - Mx+n) )