Suppose that you are offered a $20-$year mortgage for $$200,000$ at $2\mathrm{.}52\%$ if you are willing to pay three points. If you don't have the three points $(=$$$6000),$ how much do you need to borrow in total?

$$206,185\mathrm{.}57$

$$206,000\mathrm{.}00$

$$206,384\mathrm{.}21$