You would like to purchase a sofa set at a cost of $$200,000.$ Your credit union has agreed to

finance $80\%$ of the cost, at an interest rate of $25\%$ per annum, with the loan to be repaid in

equal quarterly instalments over a $1\frac{\frac{1}{2}}{2}$ year period. Required:

a$.$ Compute the required quarterly payments. $($round to the nearest dollar$)(8$ marks$)$

b$.$ Prepare the Loan amortization schedule for the period $($round to the nearest dollar$).$

$(7$ marks$)$