A loan of R100 000 is granted at 5,2% p.a. compounded monthly. The loan is to be amortised over a five year period by regular equal quarterly payments,

Pt , starting one quarter after the granting of the loan. Immediately after the fifth payment is made, the interest rate on the loan increases to 5,8% p.a. compounded monthly. If the equal quarterly payments remain unchanged from the sixth payment onwards, then the final payment, F<Pt, to the nearest cent, that must be made one quarter after the last equal payment, in order to amortise the loan

is equal to R