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Assume that there is a bond that pays $$20\mathrm{.}00$ at the and of year $2,$ and $$105\mathrm{.}00$ at the end of year $7.$ It sells at a total $=$$$(20\mathrm{.}00+105\mathrm{.}00).$ The Macauley duration of the bond is$?$ Answer with two digits decimal accuracy.

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