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Prefatory remarks to annuities certain; IX. To find the amount of £1, improved
at compound interest, for any number of years:

TABLE II., showing-

3.-Single lives.

The expectations of life, at every age, deduced from the observations made at

Northampton-

XXX. To find the present value, according to any table of mortality, of an annuity

of £1 during the whole term of any given life, at any given rate per cent. :

TABLE VIII., showing-

The value of an annuity of £1 on a single life, at every age, according to the

Northampton table of mortality, at 3, 4, and 5 per cent. per annum―

Immediate annuities-XXXI. To find the present value of an annuity-1. pay-
able yearly-2. payable half-yearly-3. payable quarterly-during the whole
term of any given life; XXXII. To find-1. what annuity a given sum will
purchase during the whole of a given life-2. the age at which an annuity com-

mences:

Deferred annuities-XXXIII. To find the present value of an annuity during a
given life, after a given term; XXXIV. To find the value of the same in annual
payments; The poor law question:

Temporary annuities-XXXV. To find the value of an annuity for a given
term, provided a given life survive the term:

Value of policies-XLVII. To find the value-1. of a policy-2. of a bonus
to a policy; XLIX. To find what reduction of annual premium is equivalent to
a bonus added to a policy.

The value of the reversion, or the single premium, to assure £1, at the death of

either of two given lives, when the difference of ages is five years, ten years,

fifteen years, twenty years, and also when the ages are equal—

LX. To find what premium, in a single payment, will assure a given sum on the

death of either of two given lives; LXI. The same, in annual payments; LXII.

The same, in a limited number of annual payments:

Endowments-LXIII. To find the value of an endowment in a single payment,
to be received at the end of a given number of years, on two given lives both
surviving the term; LXIV. The same, in annual payments:

Deferred assurances-LXV. To find the value, in a single payment, of a de-
ferred assurance on two joint lives; LXVI. The same, in annual payments:
Temporary assurances-LXVII. To find the value, in a single payment, of
a temporary assurance on two joint lives; LXVIII. The same,
in annual pay-
ments-the same, for an assurance for one year:

Value of policies-LXX. To find the value-1. of a policy after having ex-

isted a given number of years on two joint lives-2. of a bonus added to a policy

-3. the reduction of annual premium equivalent to a bonus.

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