You are offered the opportunity to put some money away for retirement. You will receive $10$ annual payments of $$5,000$ each beginning in $26$ years. If you desire an annual interest rate of $12\%$ compounded monthly, answer the following two questions:

a$.$ How much would you be willing to invest today? $$1,661\mathrm{.}82$

b$.$ How much would the money $($that you will be willing to invest today$)$ be worth at the end of your last payment $($i$.$e$.,$ in year $35)?$ $$94\mathrm{.}70$