I may say at the outset, that the object of the present paper is not to discuss the merits of Mutual Assurance, as distinguished from the other systems of Life Assurance, but to consider whether there are not special circumstances connected with that system which demand the attention of the professional actuary.

The folloing results wer obtaind in the course ov the years 1870 and 1871, the calculations having been carryd on at intervals, as my professional engagements allowd ov the time ov myself and my assistant being devoted to the matter. It was my intention to carry the investigation still further, by forming graduated mortality tables for entrants ov varios ages and deducing annuity values therefrom; but this intention not having been carried out, I think it better to lay the results in their present state before the readers ov the Jurnl, insted ov delaying them longer in the hope, which may perhaps never be realized, ov more complete.