Construct a four-period, three-step (eight terminal node) binomial interest rate tree where the initial interest rate is 10% and rates can move up or down by 2%; model your tree after that in Figure 25.3. Compute prices and yields for 1-, 2-, 3-, and 4-year bonds. Do yields decline with maturity? Why? For the next eight problems, you may find it helpful to read online Appendix 25.A.
Answer to relevant QuestionsVerify that the 4-year zero-coupon bond price generated by the tree in Figure 25.5 is $0.6243. Suppose the 7-year zero-coupon bond has a yield of 6% and yield volatility of 10% and the 10-year zero-coupon bond has a yield of 6.5% and yield volatility of 9.5%. The correlation between the 7-year and 10-year yields is ...Repeat the previous problem, only use Monte Carlo simulation. Following Table 27.10, compute the prices of first, second, and Nth-to-default bonds assuming that defaults are uncorrelated and that there are 5, 10, 20, and 50 bonds in the portfolio. How are the Nth-to-default yields ...Consider a firm with an F rating. a. What is the probability that after 4 years it will still have an F rating? b. What is the probability that after 4 years it will have an FF or FFF rating? c. From examining the transition ...
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