$$ Actuarial Science Do not copy others or else THUMB DOWN! A $4-$year endowment insurance pays $$50,000$ at the earlier of the end of the year of

death and the end of the term. The interest rate is $4\mathrm{.}5\%.$ If an individual aged $60$ with

survival probability ${?}_t{p}_{60}=0\mathrm{.}99-0\mathrm{.}005t^2$ purchases this policy, what is the expected

present value?