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Equity Risk

Calculate the Equity Risk Capital instantly.

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AssetValue (EUR)ClassificationTreatmentUnlimited Loss
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Standalone Equity Total

€32 133 795

Before correlation diversification

Correlation Adjustment

€2 065 537

6.4% of standalone

Capital relief

=

Equity Risk Capital

€30 068 258

After diversification

AssetClassificationApplied TreatmentExposureShockRow ChargeBasis
Listed Equity PortfolioListed EEA/OECDStandard€28 000 00043.98%€12 314 959Standard equity shock applies.
Reviewed LTE Listed EquityListed EEA/OECDLong-Term Equity€12 000 00022.00%€2 640 000Preferential treatment recognized and carved out before residual standard charging.
Strategic ParticipationListed EEA/OECDStrategic€10 000 00022.00%€2 200 000Preferential treatment recognized and carved out before residual standard charging.
Unlisted EquityUnlistedStandard€2 000 00053.98%€1 079 640Standard equity shock applies.
Long-Term Private Equity SleeveUnlistedLong-Term Equity€3 000 00022.00%€660 000Preferential treatment recognized and carved out before residual standard charging.
Alternative InvestmentsAlternative InvestmentStandard€10 000 00053.98%€5 398 200Standard equity shock applies.
Unknown Fund ResidualUnknown / UnclassifiedStandard€5 000 00053.98%€2 699 100Standard equity shock applies.
Infrastructure Project EquityQualifying InfrastructureStandard€8 000 00033.84%€2 706 891Standard equity shock applies.
Infrastructure Corporate EquityInfrastructure CorporateStandard€6 000 00040.58%€2 435 006Standard equity shock applies.

Row Equity Exposure

€84 000 000

Classified Equity Exposure

€84 000 000

Equity Risk Capital

€30 068 258

CheckValueStatusBasis
Equity Asset Rows9 / 9greenIncluded rows are equity assets with positive exposure or recognized negative unlimited-loss value.
Row-Derived Equity Exposure€84 000 000neutralThis is the exposure base derived directly from the equity asset rows, including recognized 2027 negative-value rows.
Preferential Split ControlCleargreenPreferential row candidates must not exceed their classified Type 1, Type 2, or infrastructure buckets.
2027 Negative-Value Recognition0 / 0neutralNegative unlimited-loss row values are recognized only when the 2027 switch is enabled and the row is Type 1 or Type 2.
Article 173 Infrastructure Rows0greenArticle 173 transitional treatment is represented for Type 1 and Type 2 rows; infrastructure rows fall back to the standard infrastructure branch.
Bounded Symmetric Adjustment4.98%neutralCorridor limit is 10.00%.
Recognized Long-Term Equity Exposure€15 000 000greenLong-term-equity asset rows selected in the treatment column.
Recognized Strategic Equity Exposure€10 000 000greenStrategic participation asset rows selected in the treatment column.
Recognized Duration-Based Equity Exposure€0neutralDuration-based asset rows selected in the treatment column.
Recognized Article 173 Transitional Equity Exposure€0neutralArticle 173 Type 1 and Type 2 rows selected in the treatment column.
Residual Standard Type 1 Exposure€28 000 000neutralCharged at 43.98% after symmetric adjustment.
Residual Standard Type 2 Exposure€17 000 000neutralCharged at 53.98% after symmetric adjustment.
Governance Breach FlagCleargreenFlags row-level consistency issues, such as unsupported Article 173 infrastructure treatment or invalid preferential split.

Applied Equity Shocks

Shock charge
Retained value
ModuleShockPre-shockPost-shockCharge
Residual Standard Type 1 Exposure-44%28 000 000 €15 685 041 €12 314 959 €
Residual Standard Type 2 Exposure-54%17 000 000 €7 823 061 €9 176 939 €
Recognized Long-Term Equity Exposure-22%15 000 000 €11 700 000 €3 300 000 €
Recognized Strategic Equity Exposure-22%10 000 000 €7 800 000 €2 200 000 €
Recognized Duration-Based Equity Exposure-22%0 €0 €0 €
Recognized Article 173 Transitional Exposure-0%0 €0 €0 €
Residual Standard Infrastructure Equity Exposure-33.8%8 000 000 €5 293 109 €2 706 891 €
Residual Standard Infrastructure Corporate Equity Exposure-40.6%6 000 000 €3 564 994 €2 435 006 €

Equity risk correlation build-up

Waterfall chart showing standalone component charges, correlation adjustment, and diversified result.
StepDeltaRunning
Type 1 Equity17154958.85856094217154958.858560942
Type 2 + Infrastructure14978836.4308402832133795.289401222
Standalone Equity Total32133795.28940122232133795.289401222
Correlation Adjustment-2065537.30292893230068257.98647229
Equity Risk Capital30068257.9864722930068257.98647229
Equity correlated-side shares
Equity correlated-side sharesShare of each segment in the total.Type 1 Equity53.4% · €17MType 2 +Infrastructure46.6% · €15M
ModuleShareAmount
Type 1 Equity53.4%€17M
Type 2 + Infrastructure46.6%€15M

Equity risk correlation matrix

1.000.75
Equity risk correlation matrix
T1Type 1 EquityT2Type 2 + Infrastructure
T1Type 1 Equity
1.00
0.75
T2Type 2 + Infrastructure
0.75
1.00
1Step 1

Classify each equity asset row into Type 1, Type 2, qualifying infrastructure, or infrastructure corporate exposure

Exposurebucket=ibucketMViExposure_{bucket} = \sum_{i \in bucket} MV_i
2Step 2

Use the selected row treatment to carve out standard, strategic, long-term, duration-based, and Article 173 exposure

Preferredbucket=itreatmentMViPreferred_{bucket} = \sum_{i \in treatment} MV_i
3Step 3

Apply fixed legal Type 1, Type 2, and infrastructure shocks with the bounded symmetric adjustment

SCRstandard=Residual×(Shockbase+SAbounded)SCR_{standard} = Residual \times (Shock_{base} + SA_{bounded})
4Step 4

Apply the 22% reduced shock or Article 173 transitional blend to recognized preferential rows

SCRpreferred=Preferredrecognized×ShockeligibleSCR_{preferred} = Preferred_{recognized} \times Shock_{eligible}

Understand the Equity Risk

Overview

This calculator implements the gross capital requirement for the Equity Risk sub-module within the Solvency II Market Risk standard formula.[1][2] The engine is row-based: each equity asset row carries its classification bucket and any candidate preferential treatment, while global controls appear only when they change the formula result: the Article 172 symmetric adjustment, the Article 173 blending weight, and the 2027 negative-value switch.[3]

Input Terms

  • Equity Asset Rows: Each row captures the asset or fund sleeve name, market value, Article 168 classification bucket, candidate treatment, and whether a negative value is an unlimited-loss exposure.
  • Type 1 Classification Buckets: Listed EEA/OECD regulated-market equity, EU MTF equity with member-state head office, and qualifying Article 168 Type 1 fund or portfolio exposure.
  • Type 2 Classification Buckets: Listed non-EEA/OECD equity, unlisted equity, alternative investment equity exposure, and unknown or unclassified exposure. Unknown holdings are forced into Type 2 treatment instead of being skipped.
  • Preferential Treatment Candidates: Row-level long-term equity, strategic equity, duration-based equity, and Article 173 transitional selections carve the relevant exposure out of the standard buckets when the selected treatment is compatible with the row classification.[4][5][6][7][8][9]
  • Qualifying Infrastructure Equity / Corporate Equity Rows: The qualifying infrastructure sub-module rows identified under Articles 164a, 164b, and 168, shocked at the infrastructure calibrations before being aggregated on the Type 2 side of the Article 168 formula.[1][2]
  • Negative Unlimited-Loss Rows: Negative Type 1 or Type 2 row values are recognized only when the 2027 negative-value treatment switch is enabled; otherwise they are disclosed but excluded from the charge.
  • Article 84 Look-Through: Article 84 remains an upstream classification and exposure-preparation concept. The Equity Risk calculation consumes the resulting asset rows rather than asking for a separate normalized-equity-exposure control.
  • Symmetric Adjustment: The EIOPA monthly symmetric adjustment and corridor regime are shown only when the current row mix has SA-sensitive standard or Article 173 exposure.

Technical Rationale

The Equity Risk gross capital requirement is calibrated to a 99.5% confidence level over a one-year horizon. Under the Standard Formula, this is modeled as an instantaneous decrease in the market value of equity investments.

Type 1 equities are subject to the fixed Article 168 base shock of 39%, while Type 2 equities are subject to the fixed base shock of 49%. Both shocks add the Symmetric Adjustment (SA), which is bounded to the selected Article 172 corridor before use.[2][10] Qualifying infrastructure equities use `30% + 77% * SA`, and qualifying infrastructure corporate equities use `36% + 92% * SA`.[2]

Where holdings qualify as long-term equity, strategic equity, or duration-based equity, the eligible split is carved out of the standard buckets and shocked separately at 22% before the total equity SCR is recombined. Article 173 transitional holdings use a governed blend between 22% and the standard Type 1 or Type 2 shock. The engine blocks preferential recognition if the combined preferential candidates exceed the relevant Type 1, Type 2, infrastructure, or infrastructure corporate exposure bucket, so invalid preferential splits do not create an understated capital charge.[5][4][6][7][8][9]

Important Notes

  • Engine placement: Equity Risk now lives in the Engines section because it composes row-level equity exposure, Type 1 / Type 2 classification, symmetric adjustment, strategic participation, long-term equity treatment, and infrastructure equity treatment. Atomistic equity factors and eligibility checks remain in Calculators.
  • The Symmetric Adjustment applies additively to Type 1 and Type 2 equity stress calculations, so monthly regulatory changes can move the result even when the portfolio itself is unchanged.
  • The Symmetric Adjustment input is fail-safe bounded to +/-10 percentage points under the current Article 172 regime and supports the +/-13 percentage-point corridor applying from 30 January 2027.
  • Legal factors: Type 1, Type 2, infrastructure project, infrastructure corporate, and infrastructure SA multipliers are fixed rulebook parameters in standard-formula mode, not user-editable shock assumptions.
  • Long-Term Equity Split: This calculator expects any qualifying long-term-equity subset to have already been justified upstream. The public `Long-Term Equity Eligibility` calculator is the reviewed-framework control route intended to produce that eligible split.
  • Strategic Equity Treatment: Strategic participations receive the 22% shock when the row is selected as strategic equity; supporting Article 171 evidence belongs in the upstream governance workflow, not as a duplicate capital input.
  • Article 84 Look-Through: The calculator expects any fund look-through and exposure normalization to have already produced the asset rows. It does not require an Article 84 normalized exposure or tolerance amount to calculate the equity charge.
  • Recognition controls: The row classification and row treatment carry the calculation state. Preferential split integrity is still checked so selected reduced-shock rows cannot exceed the available classified exposure.
  • Leveraged Fund Input: Where the equity exposure comes through a leveraged investment fund, first use the standalone Leveraged Fund Look-Through calculator to derive the capped look-through loss. Then route the resulting amount to Type 1 or Type 2 based on the underlying equity classification.
  • Latest EIOPA market/counterparty update: Hybrid instruments with equity and debt characteristics should first pass through the standalone Hybrid Instrument Decomposition calculator. Short equity positions and other financial risk mitigants should pass through the standalone Financial Risk Mitigation Admissibility calculator before any mitigation benefit is recognized in this module.
  • Look-Through Approach: Per Article 84 of the Delegated Regulation, insurers must "look through" investment funds to the underlying holdings so exposures are allocated to the correct equity buckets before this standalone charge is applied.[11]
  • Gross vs. Net SCR: This calculator determines the standalone Equity Risk SCR. Solvency II risk is only finalized as a net impact on Basic Own Funds after diversification in Market 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.[12]
  • Reporting: The displayed result is intended to support the corresponding standard-formula component feeding the S.25.01.01 standard-formula reporting view.[13]

Sources

  1. Delegated Regulation (EU) 2015/35 - Art. 168 (Equity risk: general provisions) - EIOPA
  2. Delegated Regulation (EU) 2015/35 - Art. 169 (Standard equity risk sub-module) - EIOPA
  3. Directive 2009/138/EC - Art. 101 (99.5% VaR / 1-in-200 calibration) - EIOPA
  4. Directive 2009/138/EC - Art. 105a (Long-term equity investments) - EUR-Lex
  5. Delegated Regulation (EU) 2015/35 - Art. 171 (Strategic equity investments) - EIOPA
  6. Delegated Regulation (EU) 2015/35 - Art. 171a (Long-term equity investments) - EIOPA
  7. Delegated Regulation (EU) 2015/35 - Art. 171b (Long-term equity investments: methodologies to avoid forced sales) - EUR-Lex
  8. Delegated Regulation (EU) 2015/35 - Art. 171c (Long-term equity investments: forced selling test) - EUR-Lex
  9. Delegated Regulation (EU) 2015/35 - Art. 171d (Long-term equity investments: collective investment undertakings with a lower risk profile) - EUR-Lex
  10. Delegated Regulation (EU) 2015/35 - Art. 172 (Symmetric adjustment of the equity capital charge) - EIOPA
  11. Delegated Regulation (EU) 2015/35 - Art. 84 (Look-through approach) - EIOPA
  12. Directive 2009/138/EC - Art. 37 (Capital add-on) - EIOPA
  13. 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.