You have been saving for years and have saved $$65,000$ for a down payment for a house. You can afford a $$3,250$ mortgage payment every month. How much can you spend on a house if the APR, or stated, interest rate is $4\mathrm{.}25\%($compounded monthly$)$ on a $30$ year mortgage?

$$725,649\mathrm{.}82$

$$705,842\mathrm{.}58$

$$660,649\mathrm{.}82$

$$658,785\mathrm{.}82$