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Assume the following interest rate tree : 2.27% 1.69% 1.22% 1.69% 0.85% 1.25% 0.90% 1.25% 0.93% 0.92% Current 6-month rate 6 months 12 months 18

  1. Assume the following interest rate tree :

2.27%

1.69%

1.22%

1.69%

0.85%

1.25%

0.90%

1.25%

0.93%

0.92%

Current 6-month rate

6 months

12 months

18 months

  1. Calculate value of the (option-free) bond using binomial model.
  2. Assume the bond is callable on 1 Jun 2018 and 1 Dec 2018 at $102.00, calculate the value of the bond.
  3. Calculate value of the call option and comment on who bears the cost of the call option.

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