Question $5[5$ marks$]$

In June $2050,$ John is considering a student loan. The loan scheme is interest$-$free until borrowers complete their degree and also allows them to defer payments until the completion of the degree. John is expected to finish his degree in three years from now and will begin making equal payments each month for $180$ months $($i$.$e$.,15$ years$).$ The loan interest rate is $6\%$ per year. If he plans to borrow $$90,000,$ how much will his monthly payment be$?($Lecture notes pp$\mathrm{.}14-15)$

Answer $($show the steps$/$calculation toward your results$)$: