Please show detailed step to get to the answer, without using excel or computer calculations. The answer is that there are 9 payments and the drop payment is $9523.87

(1) Alex loans Nomar $200,000 at a rate of 4% nominal interest convertible quar- terly. They agree that Nomar will repay the loan by making quarterly payments. These payments will each be $25,000 except for the last payment which will be a drop payment. Find the total length of the loan and the amount of the final payment