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There are 3 bonds in a portfolio of assets. The Macaulay duration of the entire portfolio...

There are 3 bonds in a portfolio of assets. The Macaulay duration of the entire portfolio is 10 years. The duration of the first bond is 8 years and the duration of the second bond is 6 years. The price of the first bond is twice the price of the second bond and half the price of the third bond. What is the duration of the third bond?

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