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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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