A company takes out a loan of 15,000,000 at an annual effective discount rate of 5.5%. You are given: (i) The loan is to be repaid with n annual payments of 1,200,000 plus a drop payment one year after the nth payment. (ii) The first payment is due three years after the loan is taken out. Calculate the amount of the drop payment.

5. On January 1, 2010 Susan took out a 30-year mortgage loan in the amount of 200,000 at an annual nominal interest rate of 6% compounded monthly. The loan was to be repaid by level end-of-month payments with the first payment on January 31, 2010. Susan repaid an extra 10,000 in addition to the regular monthly payment on each December 31 in the years 2010 through 2014. Determine the date on which Susan will make her last payment (which is a drop payment).

6. A borrower takes out a 15-year loan for 400,000, with level end-of-month payments, at an annual nominal interest rate of 9% convertible monthly. Immediately after the 36th payment, the borrower decides to refinance the loan at an annual nominal interest rate of j, convertible monthly. The remaining term of the loan is kept at twelve years, and level payments continue to be made at the end of the month. However, each payment is now 409.88 lower than each payment from the original loan. Calculate j