11. One year ago you borrowed $10,000 at an annual interest rate of 9 percent to be repaid in thirty-six equal monthly installment a. What is your monthly payment? b. Without the use of a loan amortization schedule, what is the current balance on the loan? (Hint: What is the relationship between the present value of the remaining payments to be made on the loan and its current balance?) c. What will be the balance owed on the loan one year from now if all payments are made as scheduled? d. What is the dollar amount of interest to be paid on the loan in the coming year? (Hint: The answers to b and e are very useful in answering d.) 12. How much do you have to invest in equal annual payments, with the first payment made immediately and the last payment in nine years, in order to have an account balance of $20,000 in ten years? Assume a 5 percent rate of interest