A University is offering a charitable gift program. A former student who is now $50$ years old is consider the following offer: The student can invest $$9,700\mathrm{.}00$ today and then will be paid a $9\mathrm{.}00\%$ APR return starting on his $65$th birthday $($i$.$e For a $$10,000$ investment, a $9\%$ rate would mean $$900$ per year$).$ The program will pay the cash flow for this investment while you are still alive. You anticipate living $25\mathrm{.}00$ more years after your $65$th birthday. The former student wants a return of $5\mathrm{.}00\%$ on his investments, but would like to consider this opportunity.