You are analyzing the housing market and the impact of interest rates on future home prices. You bought a new home for $350,000. The bank provided a 30 year loan at 2.75% with 80% financing. The monthly payment was the max amount that you could afford. You believe as interest rates increase home prices are going to go down. Assuming interest rates were 4.20%, and your monthly payment did not change, what would have been the highest amount of home that you could have purchased?