9. 4.47 An aggressive stockbroker claims an ability to consistently earn 12% per year on an investor’s money. Believing the broker, you invest

$10,000 now, $30,000 three years from now, and $8000 per year for 5 years starting 4 years from now.

(a) How much money can you withdraw every year forever, beginning 20 years from now?

(b) What is the capitalized cost of your investments if the $8000 per year investment is expected to continue for an unspecified time into the future instead of just 5 years?