You are thinking of purchasing a house. The house costs $$339,000.$ You have $$45,000$ in cash that you can use as a down payment on the house, but you need to borrow the rest of the purchase price. The bank is offering a $20-$year mortgage that requires annual payments and has an interest rate of $12\%$ per year. What will be your annual payment if you sign this mortgage?

The annual payment will be $($Round to the nearest cent.$)$