A person you trust asks you to loan them \($2\),000 at the end of year 1, \($1\),000 at the end of year 2, nothing in year 3, and then they will pay you \($1\),000 in year 4, \($2\),000 in year 5, and \($3\),000 in year 6. They note that you will pay out a total of \($3\),000 to them, and then they will pay back \($6\),000 to you, allowing you to ‘‘double your money!’’ If you make 12 percent per year on your investments, determine the present worth of this series of cash flows.