Question $15$

$3\mathrm{.}33$ pts

A homeowner bought a property for $$300,0005$ years ago. He got a $$250,000$ loan at $9\%$ for $30$ years, the loan require monthly payments and is fully amortized. Currently mortgage rate for $25-$ year loan is at $7\mathrm{.}5\%.$ There is $2\%$ origination fee charged on the new loan amount. All payments are monthly.

What is the loan balance for the refinanced loan after $4$ years?

$$250,240\mathrm{.}19$

$$224,460\mathrm{.}30$

$$230,237\mathrm{.}53$

$$211,210\mathrm{.}56$