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Underwriting Risk Mitigation Simplification

Counterparty Risk

Calculate the Underwriting Risk-Mitigating Effect instantly.

Underwriting Risk-Mitigating Effect

€3 960 005

1Step 1

Catastrophe Capital Delta

Catastrophe Capital Delta=Hypothetical Catastrophe Capital Without the InstrumentActual Catastrophe Capital\textit{Catastrophe Capital Delta} = \textit{Hypothetical Catastrophe Capital Without the Instrument} - \textit{Actual Catastrophe Capital}
2Step 2

Premium Delta Plus Recoverables

Premium Delta Plus Recoverables=Hypothetical Premium Volume Without the InstrumentActual Premium Volume+Recoverables\textit{Premium Delta Plus Recoverables} = \textit{Hypothetical Premium Volume Without the Instrument} - \textit{Actual Premium Volume} + \textit{Recoverables}
3Step 3

Underwriting Risk-Mitigating Effect

Underwriting Risk-Mitigating Effect=Catastrophe Capital Delta×Catastrophe Capital Delta+3×Segment Premium Sigma (sigma_s)×Premium Delta Plus Recoverables×3×Segment Premium Sigma (sigma_s)×Premium Delta Plus Recoverables+1.5×Segment Premium Sigma (sigma_s)×Premium Delta Plus Recoverables×Catastrophe Capital Delta\textit{Underwriting Risk-Mitigating Effect} = \sqrt{\textit{Catastrophe Capital Delta} \times \textit{Catastrophe Capital Delta} + 3 \times \textit{Segment Premium Sigma (sigma\_s)} \times \textit{Premium Delta Plus Recoverables} \times 3 \times \textit{Segment Premium Sigma (sigma\_s)} \times \textit{Premium Delta Plus Recoverables} + 1.5 \times \textit{Segment Premium Sigma (sigma\_s)} \times \textit{Premium Delta Plus Recoverables} \times \textit{Catastrophe Capital Delta}}

Understand the Underwriting Risk Mitigation Simplification

Overview

This calculator implements the simplified capital requirement for Underwriting Risk Mitigation within the Solvency II counterparty risk module.[1] This simplified approach is intended for undertakings where the standard-formula calculation is disproportionately complex relative to the risk. The requirement is defined as the economic capital necessary to provide a 1-in-200 year level of protection using proxy variables for the risk-reduction provided by derivatives and other mitigation techniques. [2]

Input Terms

  • Mitigation Value (M): The current market value of the risk-mitigation arrangement (e.g., a derivative contract).[1]
  • Specified Delta Proxy: The regulatory factor used to proxy the 1-in-200 year change in mitigation value.

Technical Rationale

The Counterparty Underwriting Risk Mitigation Simplification is calibrated to a 99.5% confidence level over a one-year horizon. It captures the sensitivity of the undertaking’s basic own funds to a default by a mitigation counterparty (e.g., a derivative provider). Unlike a full article-by-article revaluation, which requires complex Greeks-based modeling, this simplification uses a direct proxy where the requirement is a function of the mitigation value and the undertaking's overall underwriting risk.[1]

This method is governed by the principle of proportionality (Article 109), ensuring that smaller undertakings can calculate their solvency capital requirements without the operational burden of a full-scale mitigation-valuation engine. The result represents the simplified underwriting-mitigation contribution to the total Counterparty Default Risk.

Important Notes

  • Regulatory deviation: Material deviation from the standard-formula assumptions or from the conditions supporting this simplification may support a capital add-on or a move toward a fuller or internal-model approach where justified.[3]
  • Reporting: The simplified result is intended to support the corresponding standard-formula component feeding the S.25.01 standard-formula reporting view, not to replace the connected article-chain result where the simplification is not justified.[4]

Sources

  1. Delegated Regulation (EU) 2015/35 - Art. 112 (Counterparty default type 1 simplification conditions) - EUR-Lex
  2. Directive 2009/138/EC - Art. 101 (99.5% VaR / 1-in-200 calibration) - EIOPA
  3. Directive 2009/138/EC - Art. 37 (Capital add-on) - EIOPA
  4. Commission Implementing Regulation (EU) 2015/2450 - QRT S.25.01 - 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.