Full text: On the value of annuities and reversionary payments, with numerous tables (Vol. 1)

162 
LIFE ASSURANCES. 
(rn, m.\, m2, &c.) 
1 + a 
(rn, mi, rn£, &c.) 
n denoting the number of premiums to be paid, the first being paid at 
the time of effecting the insurance, and the remaining n — 1 at the end 
of each year for n— 1 years. 
When there is only one life we have 
A m _ hl m , N ra _ t N m +„-i M m 
' D m • 
1 + °(m) 
Rule. Divide the single premium by unity added to the present 
value of a temporary annuity for one year less than the number of pre 
miums which are to be paid. 
Example. Suppose the insurance in the last example was to be 
secured by payment of 7 annual premiums, of which the first is paid 
at the time of effecting the insurance, what should be the amount of 
each premium ? 
241.192 _ 241.192 
: (Tables 1 and 18.) 
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