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Suppose bonds are priced as in Table . Suppose that at time 0 a default-free issuer contracts to sell at time 2 a semi-annual coupon

Suppose bonds are priced as in Table . Suppose that at time 0 a default-free issuer contracts to sell at time 2 a semi-annual coupon bond maturing at time 3 at a price of par. 



Bond price
Zero price



CouponMaturityper $100 parBond yieldper $1 parZero rate


2.000%0.5100.00002.000%0.99012.000%


3.000%1.0100.49442.496%0.97552.500%


4.000%1.5101.47552.987%0.95633.000%


5.000%2.0102.93293.469%0.93303.500%


6.000%2.5104.85483.942%0.90574.000%


6.000%3.0105.07314.183%0.88154.250%



What coupon rate must the issuer set for this bond to make this contract worth zero at time 0?

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