^{page 52 note *} Not, as Mr. Scratchley has it, “an annuity of £330 a year.”

^{page 54 note *} The a_{x, y} of Mr. Scratchley being the 1 + a _{x, y} or 1 + AB of other writers.

^{page 55 note *} At the present price of Consols, 94, the rate of annuity granted at age twenty, by the Government Tables, is £5, 0s. 7d. per cent.; the value, therefore, is 19·884 years' purchase, and differs from the Carlisle 3½ per cent. by ·028 only.

^{page 58 note *} There ate two letters on this subject in the Post Magazine for October, 1855, but they take only a partial view of the question.