> ## Documentation Index
> Fetch the complete documentation index at: https://docs.activeviam.com/llms.txt
> Use this file to discover all available pages before exploring further.

# IMCC

<Badge color="gray" size="lg">[ima](./measures/imadrc)</Badge>

|                 |                                                                                                                                             |
| --------------- | ------------------------------------------------------------------------------------------------------------------------------------------- |
| **Description** | The internally modelled capital charge, also known as aggregate capital charge for modellable risk factors                                  |
| **Variations**  | [euler](./euler), [incremental](./incremental)                                                                                              |
| **Reference**   | [\[MAR33.15\]](https://www.bis.org/basel_framework/chapter/MAR/33.htm?inforce=20230101\&published=20200327#paragraph_MAR_33_20230101_33_15) |
| **Notation**    | $IMCC$                                                                                                                                      |
| **Formula**     | $\displaystyle  IMCC = \omega \cdot IMCC( C ) $                                                                                             |

The measure is based on the unconstrained expected shortfall charges -  [ES (Capital Constrained)](./es-capital-constrained-ima) and [Omega](./omega-ima).

<Note>
  The decomposition of IMCC (involving the Risk Class hierarchy) will use the compact formula without Omega :

  $$
  IMCC=\rho \left( IMCC(C) \right)+(1-\rho) \left( \sum_{i=1}^R IMCC(C_i) \right)
  $$
</Note>