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Non-Life Earthquake Risk

AdvancedRequires external valuation

Calculate the Earthquake Risk Capital Requirement instantly.

Use the undertaking's valuation model for the capital impact. This page documents the prescribed stress.

#
Annex VI RegionEarthquake SCR
1
2
3
4

Gross Sum

€2 000 000

Before correlation diversification

Diversification Benefit

€791 695

39.6% of standalone

Capital relief

=

Earthquake Risk Capital Requirement

€1 208 305

After diversification

Earthquake top-level aggregation build-up

Waterfall chart showing standalone component risk amounts, diversification benefit, and diversified result.
StepImpactRunning
AT - Republic of Austria (AT)10000001000000
BE - Kingdom of Belgium (BE)6000001600000
BG - Republic of Bulgaria (BG)3000001900000
Other Regions (OTH)1000002000000
Gross Sum20000002000000
Diversification Benefit-791695.40264054271208304.5973594573
Earthquake Risk1208304.59735945731208304.5973594573
Earthquake component shares
Earthquake component sharesShare of each segment in the total.AT - Republicof Austria (AT)50.0% · €1.0MBE - Kingdomof Belgium (BE)30.0% · €600KBG - Republicof Bulgaria (BG)15.0% · €300KOtherRegions (OTH)5.0% · €100K
ModuleShareAmount
AT - Republic of Austria (AT)50.0%€1.0M
BE - Kingdom of Belgium (BE)30.0%€600K
BG - Republic of Bulgaria (BG)15.0%€300K
Other Regions (OTH)5.0%€100K

Earthquake top-level correlation matrix

1.000.00
Earthquake top-level correlation matrix
ATAT - Republic of Austria (AT)BEBE - Kingdom of Belgium (BE)BGBG - Republic of Bulgaria (BG)OTHOther Regions (OTH)
ATAT - Republic of Austria (AT)
1.00
0.00
0.00
0.00
BEBE - Kingdom of Belgium (BE)
0.00
1.00
0.00
0.00
BGBG - Republic of Bulgaria (BG)
0.00
0.00
1.00
0.00
OTHOther Regions (OTH)
0.00
0.00
0.00
1.00
1Step 1

Capture earthquake region amounts by annex vi region

Components={SCR1,,SCRn}Components=\{SCR_1,\ldots,SCR_n\}
2Step 2

Apply the Article 122 top-level aggregation formula

SCRearthquake=r,sCorrEQr,sSCRrSCRs+SCRother2SCR_{earthquake}=\sqrt{\sum_{r,s}CorrEQ_{r,s}SCR_rSCR_s+SCR_{other}^{2}}
3Step 3

Reconcile gross sum, diversification benefit, and final SCR

Adjustment=GrossSCRAdjustment=Gross-SCR

Understand the Non-Life Earthquake Risk

Overview

This calculator implements the gross capital requirement for the Earthquake Risk sub-module within the Solvency II Non-Life Underwriting standard formula.[1] The Earthquake Risk requirement is defined as the economic capital necessary to cover the loss in basic own funds resulting from an extreme, low-frequency 1-in-200 year seismic hazard.[2]

Input Terms

  • Earthquake SCR: The capital requirement for earthquake risk in each region after the Article 122 regional and zone mechanics have been calculated.[1]
  • Annex VI Region: The selected region for each earthquake SCR amount. The page deduces the Article 122 regional correlation coefficient from the selected pair of Annex VI regions.[1]
  • Other Regions: The capital requirement for earthquake risk in regions outside the specified regional set.[1]

Technical Rationale

The Earthquake Risk sub-module 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 catastrophic seismic event. The standard formula uses a geographical scenario-based approach, summing the results for each hazard zone after applying the specified diversification rules between zones.[1]

Article 122 separates earthquake into regional risk amounts because seismic exposure is highly location-dependent, while the standard formula still recognizes that regional loss events can have statistical dependence. The prescribed regional correlation matrix captures that dependence without turning the regional risk amounts into a simple arithmetic sum.[1]

The other-earthquake component remains visible because the regulation treats specified Annex VI regions and residual earthquake exposure differently. Keeping that boundary explicit makes the calculation an aggregation endpoint rather than a substitute for the zone and regional loss work.

The zone weighted-sum-insured and specified regional loss mechanics remain separate Article 122 evidence before regional SCR aggregation.

Important Notes

  • Scenario source discipline: Prepared catastrophe scenario amounts should be traceable to a documented valuation or exposure model. The calculator keeps the form focused on result-driving scenario amounts and leaves evidence review in the methodology file or governance workflow.
  • Geographical Concentration: The requirement is highly sensitive to the concentration of property values in high-seismicity mediterranean or southeastern European zones.
  • Model boundary: This page is the final aggregation step. It does not calculate sums insured, weighted sums insured, specified regional losses, or the other-regions premium and diversification formula.
  • Gross vs. Net SCR: This calculator determines the standalone Non-Life Earthquake 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.[3]
  • Reporting: The displayed result is intended to support the corresponding standard-formula component for the S.25.01.01 standard-formula reporting view.[4]

Sources

  1. Delegated Regulation (EU) 2015/35 - Art. 122 (Earthquake risk sub-module) - EIOPA
  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) 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.