> ## 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.

# Commodity delta risk position correlations

> The Commodity Delta Risk Position Correlations in FRTBCombinedCube, the intra-bucket correlation parameter (rho_kl) between delta sensitivities per Basel MAR21.83, requires Commodity Delta Double Sums and Commodity Buckets hierarchies

<Badge color="gray" size="lg">[sbm](../tags/sbm)</Badge>

|                                      |                                                                                                                                             |
| ------------------------------------ | ------------------------------------------------------------------------------------------------------------------------------------------- |
| **Description**                      | The correlation parameter between delta sensitivities within the same bucket, under the ‘Medium correlations’ scenario                      |
| **Variations**                       | [high-low](./high-low)                                                                                                                      |
| **Hierarchies required in the view** | [Commodity Delta Double Sums](./commodity-delta-double-sums), [Commodity Buckets](./commodity-buckets)                                      |
| **Reference**                        | [\[MAR21.83\]](https://www.bis.org/basel_framework/chapter/MAR/21.htm?inforce=20230101\&published=20200327#paragraph_MAR_21_20230101_21_83) |
| **Notation**                         | $\rho_{kl}^{MediumCorr}$                                                                                                                    |

For each bucket, the factors $\rho_{kl}^{cty}$, $\rho_{kl}^{tenor}$ and $\rho_{kl}^{basis}$ and looked up based on cases *cty*, *tenor*, *basis* - represented by the levels in the hierarchy **Commodity Delta Double Sums**.