1. Suppose that in a double-decrement model, q′(1) = q′(2). Show that Method 1 and Method 2 lead to the same answer for the unprimed rates.
2. In a double-decrement table, with decrements d for death and w withdrawal, we have that q(d) is a constant 0.10 for all x and q(w) is a constant 0.02 for all x. The rate of interest is a constant 0.06. An insurance policy pays 1 at the end of the year of death. Nothing is paid to a withdrawing policyholder. Find the present value of the benefits on this policy.