13,0583
LIFE ANNUITIES.
2)10.5668 = a 18i j 8 ,83
5.2834
17.2890 — a 2B
22.5724
13.0583
”975141
50
475.7050 = £475 14 1 B’s share.
6.8212 !—• rg «18.28
6.2371 = «28.33
5.2834 — 2 «18,28.33
16.3432 = « 33
21.6266
19.3589
13.1218 — «18.83
6.2371 = «28.38
19.3589
2.2677
50
113. 385 =£113 7 9 C’s share.
171. An annuity of £40 on the longest of three lives, A, B, and C,
respectively aged 18, 23, 28, is to be enjoyed by A during his life, and
after his decease is to be divided equally between B and C during their
joint lives, and the survivor of them is to have the whole; what is the
value of B’s interest therein ? Northampton 3 per cent.
the sum = a ia — « 18 . 23 - a «23.28 + 3 «is.i
B’s share.
Interchanging B and C in the expression for B’s share we have the
formula for the value of C’s interest therein.
«28 ” «18.28 ”* 2 «23.28 "4" 2 «18.23.28
2)11.0984 = «18.23.28 — «18.47 • 05
5.5492
18.1486 =
14.0822 = ^ «18.23
6.6402 = £ «83,88
20.7224
Alive.
Dead.
Value of the Annuity to he received.
B andC
A ... .
2 «23.28 2 «18.23.28
Art. 164.
B ....
AC ..
«23 «18,23 «23.28-b «18.23.28
Art. 163.