S$.$ Ken Flint retired as president of Colour Tile Company, but he is currently on a consulting contract for $$57,000$ per year for the next $10$ years. Assume Mr$.$ Flint$$s opportunity cost $($potential return$)$ is $9$ percent. Use Appendix B and Appendix D$.($Round $"$PV Factor" to $3$ decimal places. Round the final answers to the nearest whole dollar.$)$

a$.$ What is the present value of his consulting contract?

Present value $

b$.$ Assuming Mr$.$ Flint will not retire for two more years and will not start to receive his $10$ payments until the end of the third year, what would be the value of his deferred annuity?

Present value $

c$.$ Recalculate part a assuming the contract stipulates that payments are to be made at the beginning of each year.

Present value $