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A 6% annual payment bond matures in 4 years. The face value is $100 and the YTM is 4%. What is the bonds Macaulay duration?

A 6% annual payment bond matures in 4 years. The face value is $100 and the YTM is 4%. What is the bonds Macaulay duration?

(please provide all written out work and calculations. Do not use the excel function to solve. I need to see the work.)

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