A loan of $5,000 is to be amortized with the monthly payments of $200 for as long as necessary plus the smaller final payment one month after the last regular payment. Interest is calculated at i(12) = 0.12 on the first $3000 of outstanding loan balance and at i(12) = 0.09 on any excess.
(a) Find out the principal repaid in fifth payment.
(b) Find out the "crossover" point.
(c) Determine the total number of payments.
(d) Find out the amount of the final payment?