Mark finance Co$.$ plans to update its equipment at a total cost of $$90,000.$ Management anticipates making a $$15,000$ down payment and borrowing the remainder from a local commercial bank at $12$ percent interest. The first option provides for five equal, annual payments to be made at the end of the year. The second option requires five equal, annual payments plus a balloon payment of $$15,000$ at the end of the fifth year. What are the annual payments required by each option?