A house price of $$100,000$ can be financed with two loans below with monthly payments. The total origination cost associated with these two loans is $$2,000.$

Loan Amount Term $($years$)$ Interest Rate

$1$st loan $ $80,000305\%$

$2$nd loan $ $10,000307\%$

Alternatively, the borrower can borrow one loan in the amount of $$90,000$ with origination cost of $$1,500.$ What should the interest rate be on the $$90,000,30$ years loan with monthly payments so that the borrower will be indifferent between these two alternatives?

$4\mathrm{.}28\%$

$5\mathrm{.}28\%$

$6\mathrm{.}28\%$

$7\mathrm{.}28\%$