Hansus Enterprises is a start-up small business specializing in software systems for machinebased high-school student tutoring in science and math. Sheryl Hansus, the owner, has spoken with lenders to obtain a loan of $50,000 now (year 0), and the same amount in years 3 and 6. Two different repayment schedules are available. They are:

Schedule A: Pay a uniform amount of $19,500 in years 3 through 12.

Schedule B: Pay a uniform amount of $20,000 in years 1 through 6, with “balloon” payments of an additional $20,000 in year 2 and a final amount of $40,000 in year 7.

To assist in the decision of which schedule to select, determine the following:

(a) Total amount repaid for each schedule. Which is smaller?

(b) The equivalent annual worth of the loan amounts and of the repayments at i = 5% per year over a 12-year evaluation period. Which schedule has the smaller loss per year? Why is this the case?