Four years after turning pro, Norwegian golfer Viktor Hovland became the third-youngest player to win the FedEx Cup title along with an $18 million bonus. Victor would like to donate some money to his alma mater, Oklahoma State University, to endow a $100,000 annual scholarship. The first scholarship will be awarded at the beginning of each year, starting today. The University will manage the funds and expects to earn 3.5% per year, with annual compounding. a) How much will Viktor have to donate today to ensure the endowment fund never runs out of money? (2 marks) b) If Viktor wants to increase the amount of the scholarship by 1% per year, how much more will he need to deposit today? (3 marks) c) If Viktor donates the entire $18 million, what constant amount of scholarships could he fund per year forever if the scholarships start one year from today? (2 marks)