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

# CCR Distribution Fields

> Credit Benchmark calculates distribution metrics including standard deviation, skewness, and dispersion on contributed PD estimates for each entity.

Credit Benchmark calculates distribution metrics on contributed 1‑year TTC PD estimates to assess the **spread, shape, and quality** of the consensus for each entity — including how much agreement exists among contributors and whether views are systematically skewed in one direction.

## Calculated Fields

<AccordionGroup>
  <Accordion title="CCR Max & CCR Min">
    Shows how contributed bank views distribute across the CB rating scale. Contributed PDs are mapped to CB rating buckets using the [Rating Scale](/methodology/rating-scales).

    **CCRMin** — the minimum rating in the distribution, derived from the maximum contributed PD:

    $$
    \text{CCRMin} = f(\max(PD_i))
    $$

    **CCRMax** — the maximum rating, derived from the minimum contributed PD:

    $$
    \text{CCRMax} = f(\min(PD_i))
    $$

    $f(PD)$ is the rating scale mapping function returning a notch index.

    **CCRMin Notch** and **CCRMax Notch** are the numeric equivalents of these fields — the integer position on the 21‑point scale rather than the rating label.
  </Accordion>

  <Accordion title="CCRRSD">
    Relative dispersion of contributed PDs for an entity — a measure of how much agreement exists among contributing banks.

    $$
    \text{CCRRSD} = \frac{\sigma_{PD}}{\mu_{PD}}
    $$

    * $\sigma_{PD}$ = Standard deviation of contributed PD estimates
    * $\mu_{PD}$ = Mean of contributed PD estimates

    Lower values indicate higher agreement. Published rounded to 1 decimal place.
  </Accordion>

  <Accordion title="CCRSkew">
    Asymmetry of the contributed PD distribution — measures whether bank views are tilted relative to the consensus.

    $$
    \text{CCRSkew} = \frac{1}{n} \sum_{i=1}^{n} \left(\frac{PD_i - \mu_{PD}}{\sigma_{PD}}\right)^3
    $$

    * $PD_i$ = Individual bank PD estimate
    * $\mu_{PD}$ = Mean of contributed PD estimates
    * $\sigma_{PD}$ = Standard deviation of contributed PD estimates
    * $n$ = Number of contributing banks

    Published only when |CCRSkew| ≥ 0.5. Values in (−0.5, 0.5) are not displayed.
  </Accordion>

  <Accordion title="Agreement Indicator">
    Categorical indicator derived from unrounded CCRRSD.

    | Level      | CCRRSD Range | Meaning                                                 |
    | ---------- | ------------ | ------------------------------------------------------- |
    | **High**   | \< 0.6       | Strong consensus; high confidence in the CCR            |
    | **Medium** | 0.6 – 1.1    | Moderate consensus with some variation                  |
    | **Low**    | ≥ 1.1        | Significant disagreement; higher uncertainty in the CCR |
  </Accordion>

  <Accordion title="Outlier Indicator">
    Categorical indicator derived from unrounded CCRSkew.

    | Level           | CCRSkew Range | Meaning                                         |
    | --------------- | ------------- | ----------------------------------------------- |
    | **Optimistic**  | \< −1         | Banks tend toward lower PDs than the consensus  |
    | **Balanced**    | −1 to 1.6     | Distribution balanced around the consensus      |
    | **Pessimistic** | ≥ 1.6         | Banks tend toward higher PDs than the consensus |
  </Accordion>
</AccordionGroup>