You are comparing two investments options that each pay $6$ percent interest. Both options will provide you with $$12,000$ of income. Option A pays $$2,000$ the first year followed by two annual payments of $$5,000$ each. Option B pays three annual payments of $$4,000$ each. Which of the following statements is correct given these two investments options? Assume a possitive discount rate. Which option has a higher present value? Show the calculations of the present value for both options.