1. In 30 years, you plan to set up a fellowship fund for your university that pays out $100,000/year in perpetuity with an annually compounded discount rate of 5%. In order to set up the fund in 30 years, how much do you need to save each year (starting this year) assuming you can get a semi-annually compounded return of 10% on your savings for the next 30 years? A $66,666,67 2. You have been offered four different financing schemes for a $30,000 car. Which one should you choose? A $5,000 down with the rest paid in equal monthly payments of $624.70 per month for 48 months B. So down with equal monthly payments of $960 per month for 36 months C$15,000 down and a final payment of $18,550 two years from now D. have it financed with a bank loan at a quoted rate of 9.5% with loan repayments made monthly