ABSTRACT
Consider the expression for the actuarial value of a continuously payable premium at constant rate p with discounting, which we derived in (12.4):
1−F(y) 1−F(x) dy.
For small values of x and advanced ages y, say for x = 25 and y exceeding 80 years, the values of 1−F(y) seem to play a minor role in this expression, especially when one considers the discounting taking place within the integral; and the problem of accurate estimation of F at high ages does not seem very important.
