34. Growing perpetuities and annuities (S2.3) As winner of a breakfast cereal competition, you can choose one of the following prizes:

a. $100,000 now.

b. $180,000 at the end of five years.

c. $11,400 a year forever.

d. $19,000 for each of 10 years.

e. $6,500 next year and increasing thereafter by 5% a year forever.

If the interest rate is 12%, which is the most valuable prize?