After deciding to buy a new car, you can either lease the car of purchase it with a three-year loan. The car costs $30,000. The dealer has a lease program where you pay $100 today and $400 per month for the next three years. If you purchase the car, you will it off in monthly payments over the next three years at a 7 percent APR. You believe that you will be able to sell the car for $18,000 in three years.
What is the present value of leasing including the initial payment of $100?