How much would you have to invest today to receive: Use Appendix B and Appendix D. (Round "PV Factor" to 3 decimal places. Round the final answers to the nearest whole dollar.)

a. $13,600 in 11 years at 10 percent?

Present value $

b. $17,500 in 17 years at 12 percent?

Present value $

c. $7,000 each year for 20 years at 8 percent?

Present value $

d. $7,000 each year, at the beginning, for 18 years at 12 percent?

Present value $

e. $57,000 each year for 25 years at 7 percent?

Present value $

f. $57,000 each year for 26 years, at the beginning, at 7 percent?

Present value