A lender projects that a $30-$year loan to a borrower who

A lender projects that a $30-$year loan to a borrower who pays the lender two discount points $(2\%)$ to obtain an interest rate of $4\%$ will stay open for seven years on average before the borrower prepays the remaining balance. Calculate the lender's yield on such a loan assuming the following terms: Loan amount $=$$$300,000$; Monthly payment $=$$$1,432$; Lender points $=2\%$; Broker fee $=$$$3,000$; Other third party closing costs $=$$$4,500$; Remaining mortgage balance after seven years $=$$$258,134.$

$($Input your answer as a percentage rounded to the nearest tenth and without the $\%$ sign, e$.$g$.,12\mathrm{.}5\%$ is input as $12\mathrm{.}5$ not $0\mathrm{.}125)$ pays the lender two discount points $\backslash ((2\backslash \%)\backslash )$ to obtain an interest rate of $\backslash (4\backslash \%\backslash )$ will stay open for seven years on average before the borrower prepays the remaining balance. Calculate the lender's yield on such a loan assuming the following terms: Loan amount $\backslash (=\backslash$$ $300,000$ ; $\backslash )$ Monthly payment $\backslash (=\backslash$$ $1,432\backslash ).$ Lender points $\backslash (=2\backslash \%\backslash )$ Broker fee $\backslash (\backslash$$ $\backslash$$ $3,000\backslash )$ : Other third party closing costs $\backslash (=\backslash$$ $4,500\backslash )$ : Remaining mortgage balance after seven years $\backslash (\backslash$$ $\backslash$$ $2\mathrm{.}58,134\backslash )$