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Counterparty Type 1 Charge Selector

Calculate the Type 1 Capital Charge instantly.

Type 1 Capital Charge

€1 800 000

1Step 1

Sigma

Sigma=Type 1 Loss Variance\textit{Sigma} = \sqrt{\textit{Type 1 Loss Variance}}
2Step 2

Sigma to LGD Ratio

Sigma to LGD Ratio={0Total Type 1 LGD0100×SigmaTotal Type 1 LGDTotal Type 1 LGD>0\textit{Sigma to LGD Ratio} = \begin{cases}0 & \textit{Total Type 1 LGD} \le 0 \\ 100 \times \frac{\textit{Sigma}}{\textit{Total Type 1 LGD}} & \textit{Total Type 1 LGD} > 0\end{cases}
3Step 3

Type 1 Capital Charge

Type 1 Capital Charge={3×SigmaSigma0.07×Total Type 1 LGD5×Sigma0.07×Total Type 1 LGD<Sigma0.20×Total Type 1 LGDTotal Type 1 LGDSigma>0.20×Total Type 1 LGD\textit{Type 1 Capital Charge} = \begin{cases}3 \times \textit{Sigma} & \textit{Sigma} \le 0.07 \times \textit{Total Type 1 LGD} \\ 5 \times \textit{Sigma} & 0.07 \times \textit{Total Type 1 LGD} < \textit{Sigma} \le 0.20 \times \textit{Total Type 1 LGD} \\ \textit{Total Type 1 LGD} & \textit{Sigma} > 0.20 \times \textit{Total Type 1 LGD}\end{cases}

Understand the Counterparty Type 1 Charge Selector

Overview

This calculator isolates the Article 200 Type 1 charge selector.[1] It converts prepared Type 1 variance and total loss-given-default into the final Type 1 counterparty default capital charge.

Input Terms

  • Type 1 Loss Variance: The prepared variance of the Type 1 loss distribution after Article 201 grouping and variance terms.
  • Total Type 1 LGD: The prepared total loss-given-default across included Type 1 counterparties.

Technical Rationale

The calculator derives sigma as the square root of variance, compares sigma to total LGD, and applies the Article 200 banded charge logic:

`SCRdef,1 = 3 x sigma` when sigma is at or below 7% of total LGD.

`SCRdef,1 = 5 x sigma` when sigma is above 7% and at or below 20% of total LGD.

`SCRdef,1 = total LGD` when sigma is above 20% of total LGD.

Important Notes

  • This is an atomistic selector, not the full Type 1 workflow. The variance and total LGD inputs must be traceable to Type 1 grouping and variance evidence.
  • The parent Type 1 calculator remains the place where row inputs, grouping, variance, and charge selection are shown together.
  • The result feeds Type 1 counterparty default risk and the counterparty risk aggregation calculator.[[ref: qrt-s2501]]

Sources

  1. Delegated Regulation (EU) 2015/35 - Art. 200 (Type 1 exposures) - EIOPA
  2. Commission Implementing Regulation (EU) 2023/894 - QRT S.25.01.01 (SCR standard formula) - EUR-Lex

Default values are illustrative sample inputs for navigation, training, and QA. Replace them with controlled data before using the result in capital analysis, governance, or reporting decisions.