Concentration Indices
In financial risk applications, concentration is the opposite of diversification. If all or most of your risk is in one area, it is concentrated. Higher concentration is interpreted as a risk, although for someone with a high tolerance for risk and who wants higher returns, that person might prefer concentration.
You can use concentration indices to measure and monitor concentration in a credit portfolio. Ad-hoc concentration indices are typically computed by using exposures, and therefore do not usually take into account other risk parameters such as probabilities of default. Ad-hoc concentration indices are frequently included in comprehensive concentration reports, with other concentration measures and concentration limits.
When you use the concentrationIndices
function, Risk Management Toolbox™ supports
the following ad-hoc concentration indices or measures:
Concentration ratio
Deciles of the portfolio weight distribution
Gini coefficient
Herfindahl-Hirschman index
Hannah-Kay index
Hall-Tideman index
Theil entropy index