Miguel can afford to pay $$150\mathrm{.}00$ per month for a car. He has $$6,000\mathrm{.}00$ saved up for a down payment. His bank is offering amortized car loans for $1\mathrm{.}625\%$ compounded monthly.

If he takes out a $4-$year loan, what is the price of the most expensive car he can afford?

How much will the car cost him in total?