Question
B1 B2 B3 B4 B5 B6 B7 B8 B9 B10 2.3 3.3 4.3 5.3 6.3 96.3 97.3 98.3 99.3 100.3 B. Estimate term structure of
B1 | B2 | B3 | B4 | B5 | B6 | B7 | B8 | B9 | B10 |
2.3 | 3.3 | 4.3 | 5.3 | 6.3 | 96.3 | 97.3 | 98.3 | 99.3 | 100.3 |
B. Estimate term structure of discount factors, spot rates and forward rates by using data on five semi-annual coupon paying bonds with $100 face value each: The bonds, respectively, have 1.25, 5.35, 10.4, 15.15 and 20.2 years to maturity; pay coupon at annual rates of B1, B2, B3, B4, and B5 percent of face value; and are trading at quoted spot market prices in dollars of B6, B7, B8, B9 and B10. Specify the discount factor function d(t) by a third degree polynomial with unknown parameters a, b, and c, as done in class. Using estimated d(t) function, determine spot rate and forward rate functions by assuming half-year compounding. Then write the values of the following based on your estimation.
1. Coefficient of parameter a in first bond price equation.
2. Coefficient of parameter b in first bond price equation.
3. Coefficient of parameter c in first bond price equation.
4. Coefficient of parameter a in second bond price equation.
5. Coefficient of parameter b in second bond price equation.
6. Coefficient of parameter c in second bond price equation.
7. Coefficient of parameter a in third bond price equation.
8. Coefficient of parameter b in third bond price equation.
9. Coefficient of parameter c in third bond price equation.
10. Coefficient of parameter a in fourth bond price equation.
11. Coefficient of parameter b in fourth bond price equation.
12. Coefficient of parameter c in fourth bond price equation.
13. Coefficient of parameter a in fifth bond price equation.
14. Coefficient of parameter b in fifth bond price equation.
15. Coefficient of parameter c in fifth bond price equation.
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