THE FIFTH TABLE OF COMPOUND INTEREST — continued.

The Annuity which One Pound will purchase for any Number of Years to come, &c.

THE FIFTH TABLE OF COMPOUND INTEREST continued.

The Annuity which One Pound will purchase for any Number of Years to come, &c.

TABLE VI. Showing the Value of an Annuity on one Life according to the Probabilities
of Life in London.

ANNUITY TAF

Tax VII. Showing the Value of an Annuity according to the Probabilitie

De Moivre's Hypothesis on the duration of human life, namely, that of 86 persons born one dies every year till all are extinct, has led to an empirical rule of easy recollection for the expectation of life, namely, to subtract the age from 86 and halve the difference for an answer. In the left hand side of the subjoined table is shown the number of persons out of 10,000 who may be expected to die in the year following their attaining the age marked in the first column, according to the Hypothesis, to the Northampton and Carlisle tables, and to the Belgian one of Quetelet. The table on the right shows the values of annuities on lives at 3 per cent. in years' purchase, whence it appears that in money results the Hypothesis curiously agrees with the celebrated Northampton tables.

7.4

7.4

7.5

6.0

6.

5

5-0

11-8

10.5

10-7

Age.

thesis. ampton.

TABLE VII. Showing the Value of an Annuity on the joint Continuance of two Lives, according to the Probabilities of Life in London.

Age of the

Value at

Age of the

Value at

Younger. Elder. 3 per Cent. 4 per Cent. 5 per Cent. Younger. Elder. 3 per Cent. 4 per Cent. 5 per Cent.

Younger. Elder. 3 per Cent. 4 per Cent. 5 per Cent. Younger. Elder. 3 per Cent. 4 per Cent. 5 per Cent

9.0

9.4

8.9

8.3

8-2

7-6

6.9