PROBLEM $1(10$ POINTS$)$Mark comes to you for financial advice. Mark is looking to hire a consulting firm to help him with a project he is contemplating. The consulting firm has given Mark a choice of four different payment options. Mark can eam an annual interest rate of $8\%$ compounded quarterly. Which of the following four options would you recommend that Mark chooses? Why?

Pay $$5,650$ cash immediately.

Pay $$6,750$ in one lump sum two years form now.

Pay $$800$ at the end of each quarter for two years.

Pay $$1,000$ immediately plus $$5,250$ in one lump sum two years from now.