You need a 25-year, fixed-rate mortgage to buy a new home for $285,000. Your mortgage bank will lend you the money at a 5.80 percent APR for this 300-month loan. However, you can afford monthly payments of only $1,250, so you offer to pay off any remaining loan balance at the end of the loan in the form of a single balloon payment.
How large will this balloon payment have to be for you to keep your monthly payments at $1,250?