$4-$Malika gets a monthly $30$ year, $4/1$ Adjustable Rate Mortgage for $$13,800.$ The initial teaser rate of $2\mathrm{.}75\%,$ the interest then resets to $250$ basis points above $1$ year CMT$.$ Malika calculates her initial payment to be $$56\mathrm{.}34($using the prior info$).$ What will be her remaining loan balance right before the first interest rate reset $($i$.$e$.$ after she makes $4$ year$($s$)$ of payments$)?$ State your answer as a positive number rounded to two decimal points $($e$.$g$.$ if the answer is $$2345\mathrm{.}123,$ write $2345\mathrm{.}12)$

$5-$ You are seeking to buy an industrial park using a downpayment and a commercial mortgage. The industrial park's sale price is $$15,000.$ The commercial mortgage lender has a LTV requirement for their industrial loans. Mortgages they issue in this sector can't have a LTV higher than $67\%.$ Following only the lender's LTV requirement, what's the largest commercial mortgage you can obtain from the lender? Write your answer up to cents $($e$.$g$.$ if you get $$106\mathrm{.}63898,$ write $106\mathrm{.}64).$