You plan to purchase a $200,000 house using a 15-year mortgage obtained from your local credit union. The mortgage rate offered to you is 4.5 percent. You will make a down payment of 20 percent of the purchase price.

a. Calculate your monthly payments on this mortgage. (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16))

  Monthly payment $   

b. Calculate the amount of interest and, separately, principal paid in the 20th payment. (Do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16))

  Amount of interest $   

  Amount of principal $   

c. Calculate the amount of interest and, separately, principal paid in the 100th payment. (Do not round intermediate calculations. Round your answers to 2 decimal places. (e.g., 32.16))

  Amount of interest $   

  Amount of principal $   

d. Calculate the amount of interest paid over the life of this mortgage. (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16))

  Amount of interest paid $