A young couple buys their dream house. After paying their down payment and closing costs, the couple has borrowed $400,000 from the bank. The terms of the mortgage are 30 years of monthly payments at an APR of 6% with monthly compounding. Suppose the couple wants to pay off their mortgage early, and will make extra payments to accomplish this goal. Specifically, the couple will pay an EXTRA $2,000 every 12 months (this extra amount is in ADDITION to the regular scheduled mortgage payment). The first extra $2,000 will be paid after month 12. What will be the balance of the loan after the first year of the mortgage?