常用公式大全form8(SOA北美精算师考试handbook notes)

STA4183–The Theory of Interest

Formulas for Sinking Fund Schedules

Sinking Fund(i=j)Sinking Fund(i>j)

R1=···=R n R1=···=R n R1=···=R n R1=···=R n

I t=iL I t=R t−R t 1

1+i

n

I t=iL I t=R t−

L

s n|j

D t=R t−I t D t=R t 1

1+i

n

D t=R t−I t D t=

L

s n|j

B t=(1+i)B t−1+D t B t=R t s t|i 1

1+i

n

B t=(1+j)B t−1+D t B t=

Ls t|j

s n|j