Question
Use the following information. All bonds are issued by US Treasury and will pay coupons annually. Bond A B C D E Issuer Treasury Treasury
Use the following information. All bonds are issued by US Treasury and will pay coupons annually.
Bond | A | B | C | D | E |
Issuer | Treasury | Treasury | Treasury | Treasury | Treasury |
Face Value | 100 | 100 | 100 | 100 | 100 |
Coupon Rate | 3.0% | 3.0% | 3.0% | 3.0% | 3.0% |
Price | 100 | ||||
Maturity | 1 | 2 | 3 | 4 | 5 |
The sequence of spot rates and forward rates are shown below,
Time to Maturity | Spot (0Rn) | Forward (n-1Fn) |
1 | 3.0000% | 3.000% |
2 | 2.9000% | 2.800% |
3 | 2.700% | |
4 | 2.600% | |
5 | 2.500% |
1) An investor considers the purchase of 2-year annual zero-coupon Bond J to be issued 2 year from today with a face value of $100. The price of the Bond J is closet to:
92.903
93.903
94.903
95.903
2) An investor considers the purchase of 2-year annual 5%-coupon Bond K with a face value of $100, currently trading at a Z-spread of 50 bps. The price of the Bond K is closet to:
100.039
101.039
102.039
103.039
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