the following table is a one year ratings transition matrix given a bond s rating no 598212

The following table is a one-year ratings transition matrix. Given a bond”s rating now, the matrix gives the probability associated with the bond having a given rating in a year”s time. For example, a bond that starts the year with an A rating has a 90% chance of maintaining that rating and an 8% chance of migrating to a B rating. Given a B-rated bond, what is the probability that the bond defaults over one year? What is the probability that the bond defaults over two years?

To a rating of:

A

B

CD

From a rating of:

A

90%

8%

2%

0%

B

10%

80%

8%

2%

C

0%

25%

60%

15%

D

0%

0%

0%

100%