Suppose a homeowner has an existing mortgage loan with these terms: Remaining balance of $$150,000,$ interest rate of $8$ percent, and remaining term of $10$ years $($monthly payments$).$ This loan can be replaced by a loan at an interest rate of $6$ percent, at a cost of $8$ percent of the outstanding loan amount.

Required:

a$.$ What is the net benefit of refinancing? $($Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answers to $2$ decimal places.$)$

b$.$ What is the NPV if the homeowner expects to be in the home for only five more years? $($Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answers to $2$ decimal places.$)$

$\backslash$table$[[$a$.,$Net benefit of refinancing,$],[$b$.,$NPV$,]]$