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A bond portfolio named DEX, comprises four bonds (face value=$1000): 1)50 semi-annual bond, 5-year maturity, a coupon rate of 4%. 2)100 annual bonds, 30-year maturity,

A bond portfolio named DEX, comprises four bonds (face value=$1000):

1)50 semi-annual bond, 5-year maturity, a coupon rate of 4%.

2)100 annual bonds, 30-year maturity, 8% coupon bond.

3)150 zero coupon bonds, 10-year maturity.

4)200 zero coupon bonds, 20-year maturity.

Given a 6% initial yield, what is the DEXs duration (use Macaulays duration)?

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