Skip to content

Risk Margin Reference Undertaking SCR

Calculate the Reference Undertaking Solvency Capital Requirement instantly.

%
%
%
5 projection rows are active. Rows beyond the selected horizon remain visible for review but are excluded from the SCR run-off.
Year
Liability Cash OutflowReinsurance / SPV RecoveryNet Cash FlowDerived RateDiscounted Net CF
1
€22 500 000
2.00%
€22 058 824
2
€19 800 000
2.10%
€18 993 881
3
€17 100 000
2.19%
€16 023 999
4
€14 400 000
2.27%
€13 162 927
5
€11 700 000
2.34%
€10 420 200
6
€0
0.00%
€0
7
€0
0.00%
€0
8
€0
0.00%
€0
9
€0
0.00%
€0
10
€0
0.00%
€0
11
€0
0.00%
€0
12
€0
0.00%
€0
13
€0
0.00%
€0
14
€0
0.00%
€0
15
€0
0.00%
€0
16
€0
0.00%
€0
17
€0
0.00%
€0
18
€0
0.00%
€0
19
€0
0.00%
€0
20
€0
0.00%
€0
ModuleDriverInputResult
Market
Interest rate

Aggregated market risk

€2 996 682

Equity
Property
Spread
Currency
Concentration
Counterparty
Type 1

Aggregated default risk

€1 400 005

Type 2
Life
Mortality

Aggregated life risk

€1 356 472

Longevity
Disability-morbidity
Expense
Revision
Lapse
Catastrophe
Health
NSLT

Aggregated health risk

€16

SLT
Catastrophe
Non-Life
Premium and reserve

Aggregated non-life risk

€1 600 002

Catastrophe
Lapse
Other
Intangible assets

Intangible add-on

€0

ModuleDriverInputResult
Premium Base
Earned life premiums

Premium component

€1 280 000

Earned life unit-linked premiums
Earned non-life premiums
Prior-year earned life premiums
Prior-year earned life unit-linked premiums
Prior-year earned non-life premiums
Provision Base
Life technical provisions

Provision component

€939 000

Life unit-linked technical provisions
Non-life technical provisions
UL Expenses
Unit-linked expenses

Operational risk

€1 580 000

Reference SCR Base

€6 585 718

=

Reference Undertaking BSCR

€5 005 718

+

Operational Risk

€1 580 000

Reference SCR After LAC DT

€6 585 718

=

Reference SCR Base

€6 585 718

LAC DT

€0

Reference Undertaking SCR

€6 585 718

=

Reference SCR After LAC DT

€6 585 718

>

Zero Floor

€0

Required Assets at Transfer

€87 245 549

=

Reference Undertaking SCR

€6 585 718

+

Net TP

€80 659 831

Reference BSCR correlation build-up

Waterfall chart showing standalone component charges, correlation adjustment, and diversified result.
StepDeltaRunning
Market2996681.5314192132996681.531419213
Counterparty Default1400004.5000056254396686.031424838
Life1356472.2261284975753158.257553335
Health15.5241746962600245753173.781728031
Non-Life1600002.00002656257353175.781754593
Standalone Component Total7353175.7817545937353175.781754593
Correlation Adjustment-2347457.64759496045005718.134159633
Reference BSCR Before Intangibles5005718.1341596335005718.134159633
Reference BSCR module shares
Reference BSCR module sharesShare of each segment in the total.Market40.8% · €3.0MNon-Life21.8% · €1.6MCounterpartyDefault19.0% · €1.4MLife18.4% · €1.4M
ModuleShareAmount
Market40.8%€3.0M
Non-Life21.8%€1.6M
Counterparty Default19.0%€1.4M
Life18.4%€1.4M

Reference BSCR correlation matrix

1.000.000.250.50
Reference BSCR correlation matrix
MKTMarketDEFCounterparty DefaultLIFELifeHLTHealthNLNon-Life
MKTMarket
1.00
0.25
0.25
0.25
0.25
DEFCounterparty Default
0.25
1.00
0.25
0.25
0.50
LIFELife
0.25
0.25
1.00
0.25
0.00
HLTHealth
0.25
0.25
0.25
1.00
0.00
NLNon-Life
0.25
0.50
0.00
0.00
1.00

Reference market correlation build-up

Waterfall chart showing standalone component charges, correlation adjustment, and diversified result.
StepDeltaRunning
Interest Rate2222
Equity14000001400022
Property61400028
Spread18000003200028
Currency43200032
Concentration53200037
Standalone Component Total32000373200037
Correlation Adjustment-203355.468580787072996681.531419213
Reference Market Risk2996681.5314192132996681.531419213
Reference market sub-module shares
Reference market sub-module sharesShare of each segment in the total.Spread56.2% · €1.8MEquity43.7% · €1.4M
ModuleShareAmount
Spread56.2%€1.8M
Equity43.7%€1.4M

Reference market correlation matrix

1.000.000.250.500.75
Reference market correlation matrix
IRInterest RateEQEquityPRPropertySPSpreadFXCurrencyCONCConcentration
IRInterest Rate
1.00
0.50
0.50
0.50
0.25
0.00
EQEquity
0.50
1.00
0.75
0.75
0.25
0.00
PRProperty
0.50
0.75
1.00
0.50
0.25
0.00
SPSpread
0.50
0.75
0.50
1.00
0.25
0.00
FXCurrency
0.25
0.25
0.25
0.25
1.00
0.00
CONCConcentration
0.00
0.00
0.00
0.00
0.00
1.00

Reference counterparty correlation build-up

Waterfall chart showing standalone component charges, correlation adjustment, and diversified result.
StepDeltaRunning
Type 114000001400000
Type 261400006
Standalone Component Total14000061400006
Correlation Adjustment-1.499994375044481400004.500005625
Reference Counterparty Default Risk1400004.5000056251400004.500005625
Reference counterparty exposure mix
Reference counterparty exposure mixShare of each segment in the total.Type 1100.0% · €1.4M
ModuleShareAmount
Type 1100.0%€1.4M

Reference counterparty aggregation matrix

1.000.75
Reference counterparty aggregation matrix
T1Type 1T2Type 2
T1Type 1
1.00
0.75
T2Type 2
0.75
1.00

Reference life correlation build-up

Waterfall chart showing standalone component charges, correlation adjustment, and diversified result.
StepDeltaRunning
Mortality12000001200000
Longevity10000002200000
Disability52200005
Expense62200011
Revision42200015
Lapse72200022
Life Catastrophe32200025
Standalone Component Total22000252200025
Correlation Adjustment-843552.77387150311356472.226128497
Reference Life Underwriting Risk1356472.2261284971356472.226128497
Reference life sub-module shares
Reference life sub-module sharesShare of each segment in the total.Mortality54.5% · €1.2MLongevity45.5% · €1.0M
ModuleShareAmount
Mortality54.5%€1.2M
Longevity45.5%€1.0M

Reference life correlation matrix

1.00-0.250.000.250.50
Reference life correlation matrix
MORTMortalityLONGLongevityDISDisabilityEXPExpenseREVRevisionLAPLapseCATLife Catastrophe
MORTMortality
1.00
-0.25
0.25
0.25
0.00
0.00
0.25
LONGLongevity
-0.25
1.00
0.00
0.25
0.25
0.25
0.00
DISDisability
0.25
0.00
1.00
0.50
0.00
0.00
0.25
EXPExpense
0.25
0.25
0.50
1.00
0.50
0.50
0.25
REVRevision
0.00
0.25
0.00
0.50
1.00
0.00
0.00
LAPLapse
0.00
0.25
0.00
0.50
0.00
1.00
0.25
CATLife Catastrophe
0.25
0.00
0.25
0.25
0.00
0.25
1.00

Reference health correlation build-up

Waterfall chart showing standalone component charges, correlation adjustment, and diversified result.
StepDeltaRunning
NSLT99
SLT716
Health Catastrophe420
Standalone Component Total2020
Correlation Adjustment-4.47582530373997615.524174696260024
Reference Health Underwriting Risk15.52417469626002415.524174696260024
Reference health sub-module shares
Reference health sub-module sharesShare of each segment in the total.NSLT45.0% · €9SLT35.0% · €7HealthCatastrophe20.0% · €4
ModuleShareAmount
NSLT45.0%€9
SLT35.0%€7
Health Catastrophe20.0%€4

Reference health correlation matrix

1.000.250.50
Reference health correlation matrix
NSLTNSLTSLTSLTCATHealth Catastrophe
NSLTNSLT
1.00
0.50
0.25
SLTSLT
0.50
1.00
0.25
CATHealth Catastrophe
0.25
0.25
1.00

Reference non-life correlation build-up

Waterfall chart showing standalone component charges, correlation adjustment, and diversified result.
StepDeltaRunning
Premium and Reserve16000001600000
Catastrophe81600008
Lapse51600013
Standalone Component Total16000131600013
Correlation Adjustment-10.9999734375160191600002.0000265625
Reference Non-Life Underwriting Risk1600002.00002656251600002.0000265625
Reference non-life sub-module shares
Reference non-life sub-module sharesShare of each segment in the total.Premiumand Reserve100.0% · €1.6M
ModuleShareAmount
Premium and Reserve100.0%€1.6M

Reference non-life correlation matrix

1.000.000.25
Reference non-life correlation matrix
PRPremium and ReserveCATCatastropheLAPLapse
PRPremium and Reserve
1.00
0.25
0.00
CATCatastrophe
0.25
1.00
0.00
LAPLapse
0.00
0.00
1.00
1Step 1

Project transferred liability cash flows and discount net cash flows

NTP=tmax(0,  CFtRIt)(1+rt)t\mathrm{NTP} = \sum_t \frac{\max(0,\; CF_t - RI_t)}{(1+r_t)^t}
2Step 2

Rebuild reference undertaking BSCR from module capital inputs

BSCRref=CorrAgg(Mkt,  Def,  Life,  Health,  NonLife)+Intangibles\mathrm{BSCR}_{ref} = \mathrm{CorrAgg}(Mkt,\;Def,\;Life,\;Health,\;NonLife) + Intangibles
3Step 3

Calculate operational risk from Article 204 premium and provision bases

OpRiskref=min(30%×BSCRref,  max(Opprem,Opprov))+25%×ExpUL\mathrm{OpRisk}_{ref} = \min(30\% \times \mathrm{BSCR}_{ref},\; \max(Op_{prem}, Op_{prov})) + 25\% \times Exp_{UL}
4Step 4

Resolve Article 38 reference undertaking SCR and required assets

SCRref=max(0,  BSCRref+OpRiskrefLAC DTref)\mathrm{SCR}_{ref} = \max(0,\; \mathrm{BSCR}_{ref} + \mathrm{OpRisk}_{ref} - \mathrm{LAC\ DT}_{ref})

Understand the Risk Margin Reference Undertaking SCR

Overview

This calculator implements Risk Margin Reference Undertaking SCR within the Solvency II framework.[1][2] It is the standalone Article 38 upstream step that feeds `risk-margin-calculation` and can also feed `risk-margin-quarterly-derivation` updates.

Input Terms

  • Projection Years: Number of future years included in the transferred-portfolio cash-flow projection and the Article 37 SCR run-off.
  • Initial Risk-Free Rate: Starting point of the internally generated risk-free curve used to discount the transferred cash-flow ladder.
  • Ultimate Risk-Free Rate: Ultimate rate toward which the internally generated risk-free curve converges across the transferred cash-flow ladder.
  • Curve Convergence: Convergence speed of the internally generated risk-free curve: lower values move faster to the ultimate rate, higher values keep later points closer to the initial rate.
  • Reference Undertaking Interest Rate Risk: Interest-rate submodule charge of the transferred undertaking used to rebuild the Article 38 market-risk module internally.
  • Reference Undertaking Equity Risk: Equity submodule charge of the transferred undertaking used to rebuild the Article 38 market-risk module internally.
  • Reference Undertaking Property Risk: Property submodule charge of the transferred undertaking used to rebuild the Article 38 market-risk module internally.
  • Reference Undertaking Spread Risk: Spread submodule charge of the transferred undertaking used to rebuild the Article 38 market-risk module internally.
  • Reference Undertaking Currency Risk: Currency submodule charge of the transferred undertaking used to rebuild the Article 38 market-risk module internally.
  • Reference Undertaking Concentration Risk: Concentration submodule charge of the transferred undertaking used to rebuild the Article 38 market-risk module internally.
  • Reference Undertaking Counterparty Type 1 Risk: Type 1 counterparty-default charge of the transferred undertaking used to rebuild the Article 38 counterparty module internally.
  • Reference Undertaking Counterparty Type 2 Risk: Type 2 counterparty-default charge of the transferred undertaking used to rebuild the Article 38 counterparty module internally.
  • Reference Undertaking Life Mortality Risk: Life mortality submodule charge of the transferred undertaking used to rebuild the Article 38 life underwriting module internally.
  • Reference Undertaking Life Longevity Risk: Life longevity submodule charge of the transferred undertaking used to rebuild the Article 38 life underwriting module internally.
  • Reference Undertaking Life Disability-Morbidity Risk: Life disability-morbidity submodule charge of the transferred undertaking used to rebuild the Article 38 life underwriting module internally.
  • Reference Undertaking Life Expense Risk: Life expense submodule charge of the transferred undertaking used to rebuild the Article 38 life underwriting module internally.
  • Reference Undertaking Life Revision Risk: Life revision submodule charge of the transferred undertaking used to rebuild the Article 38 life underwriting module internally.
  • Reference Undertaking Life Lapse Risk: Life lapse submodule charge of the transferred undertaking used to rebuild the Article 38 life underwriting module internally.
  • Reference Undertaking Life Catastrophe Risk: Life catastrophe submodule charge of the transferred undertaking used to rebuild the Article 38 life underwriting module internally.
  • Reference Undertaking Health NSLT Risk: Health NSLT submodule charge of the transferred undertaking used to rebuild the Article 38 health underwriting module internally.
  • Reference Undertaking Health SLT Risk: Health SLT submodule charge of the transferred undertaking used to rebuild the Article 38 health underwriting module internally.
  • Reference Undertaking Health Catastrophe Risk: Health catastrophe submodule charge of the transferred undertaking used to rebuild the Article 38 health underwriting module internally.
  • Reference Undertaking Non-Life Premium and Reserve Risk: Non-life premium and reserve submodule charge of the transferred undertaking used to rebuild the Article 38 non-life underwriting module internally.
  • Reference Undertaking Non-Life Catastrophe Risk: Non-life catastrophe submodule charge of the transferred undertaking used to rebuild the Article 38 non-life underwriting module internally.
  • Reference Undertaking Non-Life Lapse Risk: Non-life lapse submodule charge of the transferred undertaking used to rebuild the Article 38 non-life underwriting module internally.
  • Reference Undertaking Intangible Asset Risk: Standalone intangible-asset capital carried into the Article 38 BSCR build alongside the internally rebuilt module totals.
  • Reference Undertaking Earned Life Premiums: Earned life premiums of the transferred portfolio used in the Article 204 operational-risk premium component within the Article 38 helper.
  • Reference Undertaking Earned Life UL Premiums: Earned unit-linked life premiums used in the Article 204 operational-risk premium component within the Article 38 helper.
  • Reference Undertaking Earned Non-Life Premiums: Earned non-life premiums used in the Article 204 operational-risk premium component within the Article 38 helper.
  • Reference Undertaking Prior-Year Earned Life Premiums: Prior-period earned life premiums used in the Article 204 growth test within the Article 38 helper.
  • Reference Undertaking Prior-Year Earned Life UL Premiums: Prior-period earned unit-linked life premiums used in the Article 204 growth test within the Article 38 helper.
  • Reference Undertaking Prior-Year Earned Non-Life Premiums: Prior-period earned non-life premiums used in the Article 204 growth test within the Article 38 helper.
  • Reference Undertaking Life Technical Provisions: Life technical provisions of the transferred portfolio used in the Article 204 provision component within the Article 38 helper.
  • Reference Undertaking Life UL Technical Provisions: Unit-linked life technical provisions excluded from the non-unit-linked Article 204 provision component within the Article 38 helper.
  • Reference Undertaking Non-Life Technical Provisions: Non-life technical provisions used in the Article 204 provision component within the Article 38 helper.
  • Reference Undertaking Unit-Linked Expenses: Unit-linked expenses added separately in the Article 204 operational-risk formula inside the Article 38 helper.
  • Liability Cash Outflow_{i}: Liability cash outflow projected for year i of the transferred portfolio before reinsurance and SPV recoveries.
  • Reinsurance or SPV Recovery_{i}: Reinsurance or SPV recovery projected for year i; deducted from liability cash outflows to derive the residual transferred obligation.

Technical Rationale

The reference-undertaking build exists because risk margin is about transfer cost, not about the undertaking's own entity-specific structure. It reconstructs the capital that a notional transferee would need to support the obligations on a stand-alone basis, which is the economic burden the risk margin is trying to price.

The calculator keeps the Article 38 reconstruction as its own atomistic calculator and exposes the required-assets bridge without adding generic benchmark controls or a bundled full-build sheet.

Important Notes

  • Result use: Review Reference Undertaking SCR together with the visible inputs and the calculation steps before relying on it.
  • Data quality: Reconcile the page inputs to the controlled model, valuation, or reporting source that supports this view.
  • Reference Undertaking SCR: Review this value as part of the final calculator output and reconcile it to the supporting inputs and formula steps.
  • Reference Undertaking Required Assets: Review this value as the Article 38 bridge from net technical provisions and reference-undertaking SCR.
  • Reference Undertaking LAC DT: Review this value as part of the final calculator output and reconcile it to the supporting inputs and formula steps.
  • Year 1 Derived Risk-Free Rate: Review this value as part of the final calculator output and reconcile it to the supporting inputs and formula steps.
  • Year 2 Derived Risk-Free Rate: Review this value as part of the final calculator output and reconcile it to the supporting inputs and formula steps.
  • Reconcile Projection Years, Initial Risk-Free Rate, Ultimate Risk-Free Rate, and Curve Convergence to controlled source data before relying on the result.
  • Check that Reference Undertaking SCR moves in the expected direction when you stress the main drivers.
  • Preserve the calculation trail so reviewers can trace each value back to a source, assumption, or prior module result.

Sources

  1. Delegated Regulation (EU) 2015/35 - Art. 37 (Risk margin) - EIOPA
  2. Delegated Regulation (EU) 2015/35 - Art. 38 (Reference undertaking for the risk margin) - EIOPA

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.