You would like to buy a $800,000 house with a $300,000 down payment. However, youcan only afford to pay $2,500 a month. a. If you can only pay $2,500 a month, and APR = 8%, how many monthswould the mortgage need to be structured for? (Hint: Use an amortization schedule in Excel to show what is going on with your mortgages balance each month.) b. If you would like to pay off the mortgage in 30 years, how much would you have to pay per month at an APR = 8%? c. Suppose you convinced your lender to allow you to pay $2,500 a month for 30 years and make one final balloon payment to zero out the remaining account balance in year 30. How much would your final balloon payment need to be if your outstanding monthly debts accrue at 8% APR?