A fixed-income portfolio manager is currently holding a 7-year US Treasury bond with a face value of USD 60 million. The manager plans to create a cost matching barbell portfolio by purchasing a combination of 2-year and 15-year US Treasury bonds. The objective is for this new portfolio to have the same duration as the 7-year US Treasury bond they currently own.

Below is the relevant data for the three specified US Treasury bonds:

Maturity	Price	Duration
2 Years	100.972	1.938
7 Years	106.443	6.272
15 Years	122.175	11.687