Kindly show hand written workings, of how to date especially for Bond b price.

Question 4 [15 marks] Today is 15 June 2018. Jing just purchased two Treasury bonds, henceforth referred to as bond A and bond B. Assume the yield rate for all these financial instruments is ja = 3.75% pa Bond A has the coupon rate of j2 = 3.15% p.a. and a face value of $100. The maturity date of this bond is 15 December 2020. Bond B has the coupon rate of 12 = 3.35% p.a. and a face value of $100. The maturity date of this bond is 15 July 2022. a. (5 marks) Calculate the duration and the modified duration of Treasury bond A. Give your answer in terms of years, rounded to three decimal places. b. [4 marks] Calculate the price Jing paid for bond A. Then use the duration of bond A from part a to estimate its price if the market yield rate switches to ja = 3.8% p.a. (rounded to two decimal places). c. [6 marks] Calculate Jing's purchase price of bond B using the RBA approach (rounded to three decimal places)