1) You decide to buy a house costing $400,000. You pay $100,000 down, and the remainder will be paid in monthly installments over 30 years at 4% compounded monthly. a) what is the monthly payment? b)...

1) You decide to buy a house costing $400,000. You pay $100,000 down, and the remainder will be paid in monthly installments over 30 years at 4% compounded monthly.

a) what is the monthly payment?

b) What is the outstanding balance after making the 200th payment?

c) What is the equity after making the 200th payment?

d) How much of the 200th payment will go to the principal and how much to interest?

e) How much interest will be paid over the entire length of the loan?