TEMPORARY ANNUITIES. 
131 
«(36) — 
V 
14.10460 x 4727 X .702587 46843.189 
5307 “ 5307 
8.82668 
1 + «(36) = 1 + «36 — «(36) “ 1 + 15.85577 — 8.82668 = 8.02909 
9-] -]9 
8.82668 
8.02909 
1.09934 = annual premium fora deferred annuity of ¿Cl 
30 
32.98020 = 32 19 7, required annual premium. 
By Davies’s method,— 
Art. 140, 
N m -i N m+1 
11414.2176 
10382.8230 
_N_«_ 
N 35 - N 45 
1.09934 
30 
11414.2176 
“ 21797,0406-11414.2176 
32.98020 = £32 19 7, as before. 
6. What annual premium, the first to he paid down, and the re 
mainder at the end of each year for the next ten years, should be paid 
to secure an annuity of £90, to be entered upon at the expiration of 10 
years, and then to continue during the joint existence of a male now aged 
50 and a female now aged 55 ? (Chester 3 per cent, Table 23.) 
By Example 4, page 129, a (50 55) = 2.800 
’ W 90 
1 + «(5o, 55 ) = 7.623)252,000(33.058 = ¿£33 1 2 
101 *• 22869 
23310 
22869 
.44100 
38115 
.5985 
7. A party proposes to lay out £400 in the purchase of an annuity, 
to be entered on at the expiration of nine years, to continue so long as a 
life now aged 36 shall survive that time: what sum per annum will he 
be entitled to? (Carlisle 4 per cent.) 
By Example 5, page 129, a (36) = 8.82668 
8.82668 : 1 400 ; —= 45.317 = £45 6 4 
8.82oo8 
8. A person now aged 36 wishes to pay £10 down, and a further 
annual premium of £l0 at the end of each year for the next nine years, 
to secure an annuity, to be entered upon at the expiration of that term, 
for the remainder of his life : what sum per annum should he obtain ? 
(Carlisle 4 per cent.) 
k 2