A borrower has secured a $30$ year, $$150\mathrm{.}000$loan at $7\%$ with constant monelly payments. Filteen years later, an investor wants to purchase the loan from the lender. If market inderest rates are $6\%,$ what would the ievestor be wilig to pay for the loan?

$$112\mathrm{.}261$

$172493$

$$111\mathrm{.}028$

$5158\mathrm{.}646$