Hong is taking out a mortgage for $$141,000$ to buy a new house and is deciding between the offers from two lenders.

He 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.

If necessary, refer to the list of financial formulas.

$($a$)$ His credit union has offered him a $30-$year mortgage loan at an annual interest rate of

$5\mathrm{.}1\%.$ Find the monthly payment.

$$$

$($b$)$ A bank has offered him a $15-$year mortgage loan at an annual interest rate of $4\mathrm{.}8\%.$

Find the monthly payment.

$$$

$($c$)$ Suppose Hong 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?

Credit union

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

Bank

The total amount paid would be $$$ less than to the credit union.