Question
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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