Suppose you found your dream house and it comes with a price tag of $$266,000.$ You found a bank which has a LTV ratio of $80\%$ on residential real estate loans and advertised a $5\mathrm{.}3\%$ APR for $30$ year loan $.$ Unfortunately you don't qualify for it :( However $,$ the bank is offering you a $2\%$ Buydown loan for $5$ years $.$ How much would you have to pay for the Buydown loan $?$