Some time ago, you invested in some coupon paying Treasury Bonds that mature at the end of December, 2030. The bonds have a face value of $1000 and pay semi-annual coupons at a rate of 6% p.a. a) It is now the end of September 2021 and you are considering selling your bonds to help fund the renovation of your home. If the yield is 4% p.a., what is the current price of one bond? (4 marks) b) You decided not to sell your bonds in part (a), and have now moved forward in time to the end of June 2024, and a coupon has just been paid. If the bond yield is now 5%, what is the new price of one bond? (2 marks) c) Based on your answer to part (b), explain why the bond's price at the end of June 2024 is either higher or lower than the bond's face value. (1 mark)