Present Values Sarah Trom has cash to invest and wishes to know how much she would have to pay presently to acquire each of the following investment alternatives. Compute the present value of each of the following single payments:

a. $20,000 received 10 years from now, discounted at 8 percent annually.

b. $30,000 received 15 years from now, discounted at 5 percent annually.

c. $100,000 received 20 years from now, discounted at 15 percent annually.

d. $80,000 received 30 years from now, discounted at 6 percent annually.

e. $50,000 received 6 years from now, discounted at 10 percent annually.