The first object of the present paper is to bring before the members of the Institute some model tables, which I have constructed shewing the force of mortality and the expectations of life based on a single value of log c, combined with certain constant values of A in the formula

Finding some time since, in connection with some work then in hand, that many conveniences would result from model tables on Makeham's hypothesis with which to compare the deduced functions of an ungraduated table, I gave some consideration to the most general form in which such a work could best be accomplished, resulting in the Tables, Nos. I, II, III, and IV, which I have the honour to lay before you this evening.

The President in his inaugural address last session, expressed the opinion that “the time is ripe for another discussion on surrender-values.” In accordance with that suggestion, I have ventured to bring to your notice some considerations bearing on the subject of surrender-values and the principles which, it would appear, should underlie their calculation.