$10$

points

$01-11\mathrm{.}43$

You are buying a house and will borrow $$165,000$ on a $30-$year fixed rate mortgage with monthly payments to finance the purchase. Your loan officer has offered you a mortgage with an APR of $4\mathrm{.}95\%.$ Alternatively, she tells you that you can "buy down" the interest rate to $4\mathrm{.}68\%$ if you pay points up front on the loan. A point on a loan is $1\%($one percentage point$)$ of the loan value. How many points, at most, would you be willing to pay to buy down the interest rate? $($Do not round intermediate calculations and round your answer to $3$ decimal places, e$.$g$.,32\mathrm{.}164.)$

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