Katrina has the option of an $8-$year nonsubsidized student loan of $$27,000$ at an annual interest rate of $3\mathrm{.}5\%$ or an $8-$year subsidized loan of $$27,000$ at an annual interest rate of $4\mathrm{.}5\%.$ Determine for which loan Katrina will pay less interest over the term of the loan if she starts making payments $2$ years after obtaining the loan. $($Assume Katrina makes monthly payments for each loan. Round your answers to the nearest cent, as appropriate.$)$

The total interest paid on the nonsubsidized loan is $ and the total interest paid on the subsidized loan is $

$.$ Therefore, Katrina will pay less interest on the subsidized loan