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B1 B2 B3 B4 B5 B6 B7 B8 B9 B10 5 6 7 8 9 99 100 101 102 103 B. Estimate term structure of

B1

B2

B3

B4

B5

B6

B7

B8

B9

B10

5

6

7

8

9

99

100

101

102

103

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.

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