Nou are hying a hause and wit borrow $$220000$ on a $24-$ weat fined rafe morlgage with monthly payments la finance the purtiast. Your loan alficer has offered you a morigage with an APR of $4\mathrm{.}50$ percent. Allernatively, she tells you that you can 'huy dowri" the inderest rate to $4\mathrm{.}30$ percent if you pay paints up front on the Jodr. A point on a loan is $1$ percent $($one percentage paint, af the ban value.

As you are evaulating the mortgage, you also realize that you belkeve that you wil only fye in the house for $8$ years before seling the house and buying another house. This means that in $8$ years, you will pay aff the remaining balance of the oniginal mortage. What ls the maximum number of points that you would be wilting to pay? $($Do nat round imbermediate cniculations and round your answer to $3$ decimal places, a$.$g$..32\mathrm{.}154)$

Answer is complete but not eatirely carrect.

$\backslash$table$[[$Mamam poits,$1$ sal $8]]$