Recognized HTML document

Commutation Symbols 61

ANNUITY VALUES

English Life Table No. 8—Males—3%

x	lx	vx	l. Xvx =D	E Dx+n=Nx	Nx-Dx=ax
				n=1
(1)	(2)	(3)	(4)	(5)	(6)
1	879,559.	.970874	853,941.	21,439,847.	25.107
2	849,444.	.942596	800,682.	20,639,165.	25.777
3	838,091.	.915142	766,972.	19,872,193.	25.910
4	831,235.	.888487	738,541.	19,133,652.	25.907
		......	.......	..........	......
71	312,679.	.122619	38,340.	243,284.	6.345
72	290,752.	.119047	34,613.	208,671.	6.029
73	268,618.	.115580	31,047.	177,624.	5.721
74	246,395.	.112214	27,649.	149,975.	5.424

Columns (2) and (3) are known and available values. Column (4) is the result of (2) X (3) for each value of x. Column (5) is made from the bottom upwards. Each value in

it is the sum of all the succeeding values in column (4). Column (6) is the result of (5) - (4) for each value of x.

5. Similarly the values of Ax can be found as indicated in the

following schedule:

(2) X (3) E Cx+n (5) - Dx

n=0

x dx vx+1 = Cx = Mx = Ax

(1) (2) (3) (4) (5) (6)