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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%

  1. Calculate the effective annual spot rate for each term including defaults and recovery. [10 Marks]
  2. Calculate the default component of the spot rate for each term. [6 Marks]
  3. Calculate the gross spot rate for each term including default and inflation [6 marks]
  4. 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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