Question 4 (8 marks) John wishes to purchase a super sportscar in 20 years when he retires. The car costs $500,000 at today's price and the expected long-term average yearly inflation is 4%. How much should John deposit at the beginning of each year (starting today) in order to have enough money to purchase the car in 20 years? Assume that John will car an compound yearly return of 10% on his investments. Question 5 (7 marks) An insurance policy requires you to make a single payment at the age of 30. In return, you can receive S100,000 every year starting from the age of 65 through 90 (1.e. the first payment will be made on the 65th birthday and the last on the 90th birthday). If the relevant interest rate is 10% compounded annually, how much will you pay for the insurance policy when you buy it on your 30th birthday