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Non-Life Premium & Reserve Risk

Calculate the Premium & Reserve Risk Capital instantly.

Effective Shock Factor

0.2576

=

Tripling Factor

3.0000

×

Total Non-Life Standard Deviation

0.0859

Premium & Reserve Risk Capital

€30 526 809

=

Total Non-Life Volume Measure

€118 518 929

×

Effective Shock Factor

0.2576

1Step 1

Convert total non-life standard deviation into the Article 115 effective shock factor

Shock=3×σNLShock = 3 \times \sigma_{NL}
2Step 2

Apply the effective shock factor to the total non-life volume measure

SCRprem/res=VNL×ShockSCR_{prem/res} = V_{NL} \times Shock

Understand the Non-Life Premium & Reserve Risk

Overview

This calculator implements the gross capital requirement for the Non-Life Premium & Reserve Risk sub-module within the Solvency II standard formula.[1] The Premium & Reserve Risk requirement is defined as the economic capital necessary to cover the loss in basic own funds resulting from a 1-in-200 year stress event affecting claims volatility and reserving uncertainty.[2]

Input Terms

  • Volume Measure (V_nl): The total volume measure for all 12 non-life segments, representing the scale of current and future insurance obligations.[3]
  • Standard Deviation (sigma_nl): The combined standard deviation for the portfolio, reflecting the expected claims volatility across the relevant business lines.[4]

Technical Rationale

The Premium & Reserve Risk sub-module is calibrated to a 99.5% confidence level over a one-year horizon. It captures ordinary underwriting volatility rather than extreme catastrophe tail events. The calculation follows the prescribe scalar formula defined in Article 115, where capital is a function of the total volume measure and the portfolio's standard deviation.[1]

This approach ensures that capital requirements scale directly with the size of the book (Volume) and the uncertainty of future claims emergence (Standard Deviation). Larger or more volatile portfolios carry proportionately higher capital charges. The correlation adjustment between business lines is embedded within the standard-deviation build (Annex IV) rather than being recalculated at this aggregation layer. The final result represents the gross premium and reserve underwriting component before diversification in Non-Life Risk.

Important Notes

  • Embedded Diversification: The correlation adjustment between segments is already recognized in the `sigma_nl` parameter. Therefore, no additional diversification is applied at this module layer.[1]
  • Data Periodicity: Volume measures must accurately capture the expected earned premiums and reserve balances for the upcoming 12-month period to ensure the capital requirement correctly reflects current underwriting scale.
  • Gross vs. Net SCR: This calculator determines the standalone Non-Life Premium & Reserve Risk SCR. Solvency II risk is only finalized as a net impact on Basic Own Funds after diversification in Non-Life Risk, then within BSCR, and after the top-level LAC TP and LAC DT adjustments.
  • Regulatory deviation: Material deviation from standard-formula assumptions at this layer may support a capital add-on or a move toward an internal model where justified.[5]
  • Reporting: The displayed result is intended to support the corresponding standard-formula component feeding the S.25.01.01 standard-formula reporting view.[6]

Sources

  1. Delegated Regulation (EU) 2015/35 - Art. 115 (Non-life premium and reserve risk sub-module) - EIOPA
  2. Directive 2009/138/EC - Art. 101 (99.5% VaR / 1-in-200 calibration) - EIOPA
  3. Delegated Regulation (EU) 2015/35 - Art. 116 (Volume measure for non-life premium and reserve risk) - EIOPA
  4. Delegated Regulation (EU) 2015/35 - Art. 117 (Standard deviation for non-life premium and reserve risk) - EIOPA
  5. Directive 2009/138/EC - Art. 37 (Capital add-on) - EIOPA
  6. 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.