You are considering purchasing the home of your dreams. With a budget of $$2,500$ a month how much would a mortgage payment with a $20\%$ payment and a $30-$year fixed mortgage at $5\mathrm{.}5\%$

$1.$ What would be your monthly mortgage payment?

$2.$ If you decide to buy two points for a rate of $5\%,$ how much would you save in monthly payments? Would it be worth it to buy the points? Why, or why not

$3.$ When should you consider an adjustable$-$rate mortgage?