ENDOWMENTS.
135
P(m, n *' C^m+n 4" m^n )
tm+n htty+n
lm • lm.
• f C^ni+it 4“ ^m 1 +n m^+it ) •
What is the present value of an annuity of £50 deferred 10 years,
and then to continue until the death of the survivor of two males, now
aged 35 and 40 years ? (Chester 3 per cent.)
' - , ^45 in * ho 10 hb • ho n
fl O») ll0 +»W 110 “ a C35.40). 10 r i0 +a M r 10 - «45.50 . J-J- T X
I 1 A *35 *40 ^35 •¿40
log «4 5 = log. 14.3812 rr 1.1577951
log /45= log 4116 = 3.6144754
ar. co log. ¿ 35 =ar. co log 4849 = 4.3143478
logr l0 = logl.OS“ 10 = 1.8716278
0.9582461 9.083
log «50=
log 13.0950 = 1.1161055
log ho=
log 3675 = 3.5652573
log Z 40 = ar. co
log 4516 = 4.3452461
C
aq
0
11
log- 1.01- 10 = 1.8716278
0.8982367 7.911
log ^45.50
log 9.823 0.9922441
l0g ¿45 “
log. ¿35 +log r 10 =; 1.8004510
lOg ¿50 —
log ¿40 = 1.9105034
0.7031985 5,049
9.083— a (35) 11()
7.911= «(40) llo
16.994
5.049 = «(35.40) 110
11.945
50
59T.25 = £597 5 0.
What is the present value of £50 per annum, to he entered upon at
the end of 10 years, provided two males, now aged 35 and 40, shall
jointly survive that period, and then to continue until the death of the
last survivor ? (Chester 3 per cent.)