Aya and Harumi would like to buy a house and their dream house costs $500,000. They have $50,000 saved up for a down payment but would still need to take out a mortgage loan for the remaining $450,000 and theyre not sure whether they could afford the monthly loan payments. The bank has offered them an interest rate of 4.25%, compounded monthly. If Aya and Harumi could only afford a monthly payment of $2,000.

What would be the maximum mortgage amount they could afford to borrow from the bank, if all the other conditions were the same? [1]

What is the total amount that would be paid to the lender over 25 years? [2]