Explanation
Statement I is correct. Economic capital is the capital available to absorbunexpected losses, and credit ratings are also based upon a certain probability of default. Economic capital is often calculated at a level equal to the confidence required for the desired credit rating. For example, if the probability of default for a AArating is
0.02%, then economic capital maintained at a 99.98% would allow for such a rating. Economic capital set at a
99.8% level can be thought of as the level of losses that would not be exceeded with a 99.8% probability.
Loss distributions are the product of the severity and frequency distributions, each of which are estimated separately. The total loss distribution is affected far more by the severity distribution than by the frequency distribution, therefore statement II is correct.
The Loss Distribution Approach (LDA) is one of the ways in which the requirements of the AMA can be satisfied, and not the other way round. Therefore statement III is incorrect.
Statement IV is correct as the total loss distribution is estimated using separate estimatesof loss frequency and distributions.