You must decide whether to buy a new car for $20,000 or lease the same car over a three year period. Under the terms of the lease, you make a down payment of $2000 and have a payment of $200. At the end of the three years, the leased car has a residual value (the amount you pay if you choose to buy the car at the end of the lease period) of $10,000. Assume you sell the new car at the end of the three years at the same residual value. Compare the cost of leasing and buying the car.