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You are given the following information on spot rates (i.e. zero coupon bonds) for different terms: Term Term (maturity) component (annually compounded) Defaults per 1000
You are given the following information on spot rates (i.e. zero coupon bonds) for different terms:
Term | Term (maturity) component (annually compounded) | Defaults per 1000 | Recovery on default | Inflation |
1 | 0.50% | 20 | 80% | 2% |
5 | 2.00% | 10 | 50% | 2% |
10 | 3.50% | 5 | 40% | 2% |
20 | 4.00% | 20 | 20% | 2% |
25 | 6.00% | 25 | 0% | 2% |
- Calculate the effective annual spot rate for each term including defaults and recovery. [10 Marks]
- Calculate the default component of the spot rate for each term. [6 Marks]
- Calculate the gross spot rate for each term including default and inflation [6 marks]
- State which type of yield curve to the gross spot rates form, and explain why. If the 1 year term component was 2.5%, what type of yield curve would the gross spot rates form and why? [4 Marks]
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