Fitzwilliam Darcy buys a bond five months before a coupon is due to be paid. The bond has a face value of $5,000 and an 7% coupon rate. There are 51 semi-annual coupons remaining. The bond is priced at a YTM of 6%. Fitzwilliam keeps the bond for seventeen years and four months. He then sells the bond. The YTM at time of sale has risen to 6.5%. While the bond was in his possession he deposited all coupons received into a bank account earning interest of J2 = 6%. a. What was the purchase price of the bond? [2] b. What was the selling price of the bond? [2] c. How much was in Fitzwilliams bank account at the time of sale? [3] d. What was her HPRR expressed on a per annum compounded twice a year basis? [3]