11. As a marketing tool during a period of relatively high interest rates, a home builder offers to buy-down the interest rate on home purchasers' loans. The market interest rate is currently 9%, and the builder offers to buy that rate down to 6% for 3 years. The term of the $400,000 loan is 30 years. The builder will pay the value of the buydown in one lump-sum payment to the lender. What is the required lump-sum payment? Show your work