Suppose you want to buy a $$158,000$ home. You found a bank that offers a $30-$year loan at $4\mathrm{.}9\%$ APR.

What will be your monthly payment?

$

How much would you end up paying the bank for the home after $30$ years?

$

Suppose you wanted to reduce the time of your loan to $25$ years. What would be your new monthly payment?

$

How much would you end up paying the bank for the home after $25$ years?

$

How much did you save by reducing the time of your mortgage loan?

$