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1. The on-the-run issue for the Net Company is shown below along with the spot rates (assume annual compounding): Maturity (years) YTM% Market price Spot

1. The on-the-run issue for the Net Company is shown below along with the spot rates (assume annual compounding):

Maturity (years) YTM% Market price Spot rate%
1 7.5 100 7.500
2 7.6 100 7.604
3 7.7 100 7.710

Assuming an interest rate volatility of 10% for the 1-year rate, the binomial interest rate tree for valuing a bond with a maturity of up to three years is shown below:

9.603%
8.481%
7.500% 7.862%
6.944%
6.437%

a. Using the binomial tree, determine the value of an 8.5% 3-year option-free bond. b. Suppose that the 3-year 8.5% coupon issue is callable starting in Year 1 at a call price of 100 (par). Also assume that the following call rule is used: if the price exceeds 100 the issue will be called. What is the value of this 3-year 8.5% coupon callable issue? c. What is the value of the embedded call option for the 3-year 8.5% coupon callable issue? d. If 1-year interest rate volatility is expected to be 20%, what is the value of the 3-year, 8.5% coupon callable bond? What is the value of its embedded call option?

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