Please help me question 5 and 6.

Hint for question 5:

To find the salary offer he would need to make the MBA of his choice as financially attractive as the as the current job, we need to take the PV of his current job, add the costs of attending the MBA program at the University, and the PV of the bonus on an aftertax basis. So, the necessary PV to make the MBA of his choice the same as his current job will be:

Then to make his MBA of choice as attractive as his current job, use the following formula:

PV = C {1 [(1 + g)/(1 + r)]t} / (r g)]

MINI CASE The MBA Decision Raj Danielson graduated from university six years ago with a finance undergraduate degree. 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 Assiniboine University or the University of Passy. Both schools encourage intern- ships, but to get class credit for the internship, no salary can be accepted. Other than internships, neither school allows its students to work while enrolled in its MBA program. Raj currently works at the money management firm of Prash and Sid. His annual salary at the firm is $53,000 and his salary is expected to increase at 3% per year until retirement. He is currently 28 years old and expects to work for 38 more years. His current job includes a fully paid health insur- ance plan, and his current average tax rate is 26%. Raj has a savings account with enough money to cover the entire cost of his MBA program. The Sentinel School of Business at Assiniboine University is one of the top MBA programs in the country. The MBA degree requires two years of full-time enrollment at the university. The annual tuition is $58,000, payable at the beginning of each school year. Books and other supplies are es- timated to cost $2,000 per year. Raj expects that after graduation from Assiniboine, he will receive a job offer for about $87,000 per year, with a $10,000 signing bonus. The salary at this job will in- crease at 4% per year. Because of the higher salary, his average income tax rate will increase to 31%. The Pond School of Business at the University of Passy began its MBA program 16 years ago. The Pond School is smaller and less well known than the Sentinel School. It 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 $4,200. Raj thinks that he will receive an offer of $78,000 per year upon graduation, with an $8,000 signing bonus. The salary at this job will increase at 3.5% per year. His average tax rate at this level of income will be 29%. Both schools offer an extended health insurance plan that will cost $3,000 per year, payable at the beginning of the year. Raj also estimates that room and board expenses will decrease by $4,000 per year at both schools. The appropriate discount rate is 6.5%. Questions 1. How does Raj's age affect his decision to get an MBA? 2. What other, perhaps nonquantifiable, factors affect Raj's decision to get an MBA? 3. Assuming all salaries are paid at the end of each year, what is the best option for Raj from a strictly financial standpoint? 4. Raj believes that the appropriate analysis is to calculate the future value of each option. How would you evaluate this statement? 5. What initial salary would Raj need to receive to make him indifferent between attending Assiniboine University and staying in his current position? 6. Suppose, instead of being able to pay cash for his MBA, Raj must borrow the money. The current borrowing rate is 5.4%. How would this affect his decision