A report from Fitch data service states the following two

A report from Fitch data service states the following two facts:1

• In 2002, the volume of defaulted US high-yield debt was $109.8 billion. The average market size of the high-yield bond market during 2002 was $669.5 billion.

• The average recovery rate for defaulted US high-yield bonds in 2002 (defined as average price one month after default) was $0.22 on the dollar.

Address the following three tasks:

A. On the basis of the first fact given above, calculate the default rate on US high-yield debt in 2002. Interpret this default rate as a probability.

B. State the probability computed in Part A as an odds against default.

C. The quantity 1 minus the recovery rate given in the second fact above is the expected loss per $1 of principal value, given that default has occurred. Suppose you are told that an institution held a diversified high-yield bond in 2002. Using the information in both facts, what was the institutions expected loss in 2002, per $1 of principal value of the bond

 

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