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Suppose bonds are priced as in Table 1 above. Suppose that at time 0 a default-free issuer contracts to sell at time 2 a semi-annual

Suppose bonds are priced as in Table 1 above. 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. What coupon rate must the issuer set for this bond to make this contract worth zero at time 0?

Bond price Zero price
Coupon Maturity per $100 par Bond yield per $1 par Zero rate
2.000% 0.5 100.0000 2.000% 0.9901 2.000%
3.000% 1.0 100.4944 2.496% 0.9755 2.500%
4.000% 1.5 101.4755 2.987% 0.9563 3.000%
5.000% 2.0 102.9329 3.469% 0.9330 3.500%
6.000% 2.5 104.8548 3.942% 0.9057 4.000%
6.000% 3.0 105.0731 4.183% 0.8815 4.250%

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