You are looking to buy a car. You can afford $$460$ in monthly payments for four years. In addition to the loan, you can make a $$1,100$ down payment. If interest rates are $7\mathrm{.}25$ percent APR, what price of car can you afford $($loan plus down payment$)?$

Note: Do not round intermediate calculations and round your final answer to $2$ decimal places.

Present value