You need to purchase a new car. You want the car with the lowest lifetime total net present value cost. You have narrowed the decision down to two vehicles, A and B, that are identical in features and styling except that: Car A has a purchase price of $22,000 and fuel economy of 20 miles per gallon (mpg) and Car B has a purchase price of $31,000 and fuel economy of 40 mpg. Gasoline costs $2.50 today (beginning of year 1) and you expect it to go up 3% per year in nominal terms. Use a 6% nominal borrowing rate, and assume that you can finance 85% of the purchase price of the vehicle and must make a down payment of 15%. (Purchase is at the beginning of year 1 and annual payments start at the end of year 1.) Repayment is over 4 years. You expect the vehicle to last 11 years and you will drive 12,000 miles per year. Your personal discount rate is 8%. (a) Which vehicle has the lowest total cost over the course of its life? (b) What is the annualized total cost per mile for each vehicle? (c) What personal nominal discount rate makes you indifferent between the two vehicles? (d) What rate of gasoline price increase makes you indifferent between the two vehicles? (e) What is the breakeven purchase price of the more fuel efficient car?