Rachel is taking out a mortgage for $255,000 to buy a new house and is deciding between the offers from two lenders. She wants to know which one would be the better deal over the life of the mortgage loan, and by how much. Answer each part. Do not round intermediate computations, and round your answers to the nearest cent.

(a) A bank has offered her a 40-year mortgage loan at an annual interest rate of 2.1%.

Find the monthly payment

(b) An online lending company has offered her a 15-year mortgage loan at an annual

interest rate of 5.6%. Find the monthly payment.

(c) Suppose Rachel pays the monthly payment each month for the full term. Which lender's

mortgage loan would have the lowest total amount to pay off, and by how much?

Bank:

The total amount pald would be $_ less than to the online lending company.

Online lending company:

The total amount paid would be $_ less than to the bank.