Please show all step of q2a, b , thanks

Question 2 (a) Mr. White wants to buy a house at the price of $4,000,000 which will be settled by monthly regular payments of $12,000 at the end of each month for as long as necessary, if a balloon payment is made. The effective interest rate is 3% p.a. (i) Calculate the number of payments. [4 marks] (ii) Determine the amount of the final payment. [3 marks] (iii) Set up a partial amortization schedule to show all the entries of the last two payments. Show how to calculate each entry. [4 marks] (b) The information of bonds is given below: Face Value Time to maturity Coupon Rate Bond Price ($) (years) (%) ($) 100 0.5 0 99.2 100 1.0 0 97.1 100 1.5 0 94.3 100 2.0 0 92.5 A 2-year $10,000 par value bond with 6% semi-annual coupon is purchased. (i) Calculate the price of this 2-year bond. (ii) Evaluate the par yield of this 2-year bond. (iii) Determine the Macaulay duration of this 2-year bond. [2 marks] [3 marks] [4 marks]