A lender offers you a $30-$year fixed mortgage of $$132,000$ at $2\mathrm{.}4\%$ interest when you buy $2$ points. It costs $$2640$ to buy $2$ points. Your monthly payment would

be $$514\mathrm{.}72.$ You could also take the same loan with $4\%$ interest and no points, which would make your monthly payment $$556\mathrm{.}52.$ How much are you saving

over the course of the loan by buying the $2$ points? Round your answer to the nearest cent.

You would save $

by buying $2$ points.