You've just joined the investment banking firm of Dewey, Cheatum, and Howe. They've offered you two different salary arrangements. You can have $$7,900$ per month for the next three years, or you can have $$6,600$ per month for the next three years, along with a $$35,500$ signing bonus today. Assume the interest rate is $5$ percent compounded monthly.

a$.$ If you take the first option, $$7,900$ per month for three years, what is the present value? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$ What is the present value of the second option? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$