please answer with handwritten formula work only, no spreadsheet/excel,, thank you

Problem 1. ABC must pay liabilities of 3,000 and 5,000 at the end of 2 and 4 years, respectively. The only investment available to the company are the following zero coupon bonds. (i) 1000 par, payable in two years with annual yield rate of i = 5.5%. (ii) 100 par, payable in four years, with annual yield rate of i = 6.8%. a. How much of each bond should ABC purchase in order to exactly match the liabilities? b. What is ABC's total cost of purchasing the bonds required to exactly match the liabilities