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18. Company XYZ has a portfolio consists of two bonds. The market values and the Macaulay durations of the bonds at inception and at present

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18. Company XYZ has a portfolio consists of two bonds. The market values and the Macaulay durations of the bonds at inception and at present are given in table below. At Inception Now Market Value Macaulay Duration Market Value Macaulay Duration Bond A 1,135,903 13.09 888,418 12.27 1,231,652 Bond B 1,136,033 7.54 6.90 Company XYZ plans to match the Macaulay duration now with the Macaulay duration at inception. Company XYZ has the following option: Invest in Bond C with a Macaulay duration of 15 How much Company XYZ need to invest in Bond C to match the duration? 60,000 A 122,000 195,500 255,500 399,000

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