Please show your work.

You are considering purchasing an existing single family house for $200,000 with a 20 percent down payment and a thirty-year fixed-rate mortgage at 5.5 percent.

a. What would be your monthly mortgage payment?

b. If you decided to buy two points for a rate of 5 percent, how much would you save in monthly payments? Would it be worth it to buy the points? Why, or why not?

c. When should you consider an adjustable-rate mortgage?