The question of the value of Female Life, actuarially speaking, as compared with that of Male Life, is one of considerable interest, as it is one which has, at least in more modern times, received considerable attention. Its investigation has, so to speak, been attended with many surprises, and more than one false alarm. It is a question which is constantly before the actuary, and in a considerable variety of forms. The want of correct knowledge on the subject led many of the early annuity societies and widows' funds into troubles from which they never recovered. Even yet there are certain “moot points” in practice, the solution of which the series of important facts intended—for the first time—to he presented in form here, is designed to facilitate.