The following table shows annual rates for various types of loans in $2021.$ Assume monthly payments and compounding periods. HINT $[$See Examples $5$ and $7.]$

Loan

Type $30-$Year

Mortgage $15-$Year

Mortgage New Car

Loan Used Car

Loan Credit

Cards

Rate $3\mathrm{.}03\%2\mathrm{.}30\%9\mathrm{.}20\%9\mathrm{.}45\%13\mathrm{.}99\%$

You were considering buying a home with a $30-$year mortgage in $2021$ and could afford to make a down payment of $$70,000$ and up to $$800$ per month on mortgage payments. How much could you have afforded to pay for the home? $($Round your answer to the nearest cent.$)$