Ben Bates graduated from college six years ago with a finance undergraduate degree. Since graduation, he has been employed in the finance department at East Coast Yachts. Although he is satisfied with his current job, his goal is to become an investment banker. He feels that an MBA degree would allow him to achieve this goal. After examining schools, he has narrowed his choice to either Wilton university or Mount Perry college. Although internships are encouraged by both schools, to get class credit for the internship, no salary can be paid. Other than internships, neither school will allow its students to work while enrolled in its MBA program.

Bens annual salary at East Coast Yachts is $$57,000$ per year, and his salary is expected to increase $3\%$ per year until retired. He's currently $28$ years old and expected to work for $40$ more years. His current job includes a fully paid health insurance plan, and its current average tax rate is $26\%.$ Ben has a savings account with enough money to cover the entire cost of his MBA program.

The Ritter college of business at Wilton university is one of the top MBA programs in the country. The MBA degree requires $2$ years of full$-$time enrollment at the university. The annual tuition is $$63,000,$ payable at the beginning of each school year. Books and other supplies are estimated to cost $$2500$ per year. Ben expects after graduation from Wilton, he will receive a job offer for about $$105,000$ per year, with an $$18,000$ signing bonus. The salary at the job will increase $4\%$ per year. Because of the higher salary his average income tax rate will increase to $31\%.$

The Bradley School of Business at Mount Perry college began its MBA program $16$ years ago. The Bradley school is smaller and less known than the Ritter college. Bradley offers an accelerated one year program, with a tuition cost of $$75,000$ to be paid upon matriculation. Books and other supplies for the program are expected to cost $$3500.$ Ben thinks that after graduation from Mount Perry, he will receive an offer of $88,000$ per year, with a $$15,000$ signing bonus. The salary at this job will increase $3\mathrm{.}5\%$ per year. His average income tax rate at this level of income will be $29\%.$

Both schools offer a health insurance plan that will cost $$3000$ per year, payable at the beginning of the year. Ben also estimates that room and board expenses will cost $$2000$ more per year at both schools than his current expenses, payable at the beginning of each year. The appropriate discount rate is $5\mathrm{.}8\%.$ Assume all salaries are paid at the end of each year.

$1.$ How does Ben's age affect his decision to get an MBA?

$2.$ What other, perhaps non quantifiable factors, affect Ben$$s decision to get an MBA?

$3.$ Assuming all salaries are paid at the end of each year, what is the best option for Ben from a strictly financial standpoint?

$4.$ In choosing between the two schools, Ben believes that the appropriate analysis is to calculate the future value of each option. How would you evaluate that statement?

$5.$ What initial salary would Ben need to achieve to make him indifferent between attending Wilton university and staying in his current position? Assume his tax rate after graduation from Wilton university will be $31\%$ regardless of his income level.

$6.$ Suppose that instead of being able to pay cash for his MBA, Ben must borrow the money. the current borrowing rate is $5\mathrm{.}4\%.$ How would this affect his decision to get an MBA?