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Spread Risk

Calculate the Spread Risk Capital instantly.

#
InstrumentMarket Value (EUR)Modified DurationBasisCQS / RatingTreatment
1
2
3

Spread Capital Summary

Chargeable MV

€57 000 000

Rows subject to spread shock

Sovereign Exempt MV

€28 000 000

0% sovereign exception

Largest Instrument Charge

€2 058 000

Euro IG Corporate Bond

Spread Risk SCR

€3 774 000

Simple sum of instrument charges

Instrument Spread Stress and Capital Build

InstrumentMVDur.CQSbiStressCharge
1

Euro IG Corporate Bond

Top Charge
Bond / LoanA

Article 176(3) CQS duration factor

€35M
4.2
CQS 2
1.4%
5.9%
€2.1M
2

Unrated Corporate Loan

Unrated
Bond / LoanArticle 176(4)

Article 176(4) unrated uncollateralized duration curve

€22M
2.6
Unrated
3%
7.8%
€1.7M
3

EEA Sovereign Bond

Exempt
EEA Sovereign / Central BankAAA

Article 180 EEA sovereign / central-bank treatment applies the 0% shock for qualifying exposures.

Article 180 specific exposure

€28M
6.5
CQS 0
0%
0%
€0

Spread Stress Basis Table

CQSRating BucketBase b_i / Curve
CQS 0
AAA
0.9%
CQS 1
AA
1.1%
CQS 2
A
1.4%
CQS 3
BBB
2.5%
CQS 4
BB
4.5%
CQS 5
B
7.5%
CQS 6
CCC or lower / defaulted
7.5%
Unrated
Article 176(4), uncollateralized
piecewise
Exception
EEA Sovereign / Central Bank
0.0%
1Step 1

Floor modified duration at one year

dur~i=max(duri, 1)\widetilde{dur}_i = \max(dur_i,\ 1)
2Step 2

Select the Article 176 stress curve

stressi=f(CQSi, duri) or funrated(duri)stress_i = f(CQS_i,\ dur_i)\ \mathrm{or}\ f_{unrated}(dur_i)
3Step 3

Set the shock to zero for EEA sovereign and central-bank rows

bi=0if sovereign exception appliesb_i = 0 \quad \text{if sovereign exception applies}
4Step 4

Compute the piecewise spread shock percentage

stressi=Article 176 table(dur~i)stress_i = \mathrm{Article\ 176\ table}(\widetilde{dur}_i)
5Step 5

Translate the shocked percentage into an asset capital charge

SCRspread,i=MVi×stressi100\mathrm{SCR}_{spread,i} = MV_i \times \frac{stress_i}{100}
6Step 6

Add all individual charges without diversification

SCRspread=i=1nSCRspread,i\mathrm{SCR}_{spread} = \sum_{i=1}^{n} \mathrm{SCR}_{spread,i}
7Step 7

Assume liabilities stay on the risk-free curve so the asset loss hits BOF 1:1

ΔBOF=SCRspread\Delta BOF = -\mathrm{SCR}_{spread}

Understand the Spread Risk

Overview

This calculator implements the gross capital requirement for the bond and loan branch of the Spread Risk sub-module within the Solvency II standard formula.[1] The Spread 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 credit spreads.[2]

Input Terms

  • Market Value: The current carrying amount of each bond or loan instrument.
  • Modified Duration: The measure of an asset's sensitivity to shifts in interest rates or credit spreads, subject to a regulatory one-year floor in this module.[1]
  • Credit Assessment Basis: The branch selector between a CQS/approved internal-assessment treatment and the Article 176(4) unrated uncollateralized duration curve.
  • Credit Quality Step (CQS): The regulatory rating classification used to select the applicable spread-risk factor for Article 176(3), 176a, or 176c rows.
  • Sovereign Treatment: The flag used to identify EEA sovereign or central-bank exposures qualifying for the 0% capital charge.[3]
  • Article 84 Trace Normalized Spread Exposure: The upstream normalized spread-sensitive exposure carried over from the `Exposure Normalization and Look-Through` calculator for the same asset slice.

Technical Rationale

The Spread 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 changes in the level or volatility of credit spreads across a wide range of debt instruments.[1]

In the bond/loan standard-formula branch, the capital requirement is calculated as the sum of individual instrument losses after applying the Article 176 duration table. Unlike other modules, the spread sub-module does not assume diversification between assets; each instrument's loss is directly additive. The model focuses on asset-side volatility, as liabilities are typically valued against a risk-free benchmark that does not move with credit spreads. The final result is the gross spread component before diversification in Market Risk.

Important Notes

  • Calculator placement: Spread Risk remains a calculator because this page applies a direct spread-shock formula to instrument rows. It does not own a multi-step professional workflow; look-through, duration adjustment, hybrid split, and simplification helpers remain separate atomistic calculators.
  • Rulebook build: The Standard Formula sheet prices bonds and loans instrument by instrument, floors modified duration at one year, applies either the Article 176(3) CQS piecewise duration table or the Article 176(4) unrated uncollateralized duration curve, recognizes the EEA sovereign and central-bank 0% treatment only where applicable, and adds charges directly without diversification.
  • Change since the 2015 version: Commission Delegated Regulation (EU) 2026/269 amends selected spread-risk treatments from 30 January 2027, especially securitisation and forborne-loan parameters. This educational calculator documents that change, but the current sheet is scoped to bond, loan, unrated uncollateralized, EEA sovereign, and central-bank rows under the pre-30 January 2027 Article 175/176/180 basis until those future-effective branches are exactified.[4]
  • Scope boundary: Securitisation positions, credit derivatives, and structured products that require a separate regulatory branch should not be forced into the bond/loan row type. Unrated collateralized bonds and loans are handled as a separate atomistic child calculator rather than hidden inside the parent row table.
  • Derived Effective Factor: The calculator now derives the effective spread factor and final stress percent from duration, factor, and sovereign-exemption inputs instead of expecting a prebuilt full-sheet scalar.
  • Duration Floor: A regulatory one-year floor is applied to modified duration before selecting the spread factor. For instruments with shorter durations, the capital charge will appear conservatively higher.
  • Prepared-input note: If CQS, duration, treatment, or look-through exposure values are entered rather than derived from source systems, treat the output as an educational reconstruction of the Article 175/176/180 method rather than a professional filing result.
  • Sovereign treatment: The 0% treatment is only for qualifying EEA sovereign or central-bank exposures. Do not use it as a generic sovereign shortcut.
  • Leveraged Fund Input: Where spread-sensitive assets are held through a leveraged investment fund, first use the standalone Leveraged Fund Look-Through calculator to derive the capped look-through loss before routing the result into the spread-risk exposure basis.
  • Latest EIOPA market/counterparty update: Bonds and loans with issuer options should first pass through the standalone Bond Option-Adjusted Duration calculator. Hybrid instruments with both debt and equity characteristics should first pass through the standalone Hybrid Instrument Decomposition calculator before spread-sensitive exposure is routed here.
  • Look-Through Approach: Per Article 84 of the Delegated Regulation, insurers must "look through" investment funds to the underlying spread-sensitive assets so credit quality, duration, and asset treatment are captured in the prepared exposure and factor inputs.[5]
  • Gross vs. Net SCR: This calculator determines the standalone Spread 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.[6]
  • Reporting: The displayed result is intended to support the corresponding standard-formula component feeding the S.25.01.01 standard-formula reporting view.[7]

Sources

  1. Delegated Regulation (EU) 2015/35 - Art. 175 (Scope of the spread 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. 180 (Specific exposures) - EIOPA
  4. Commission Delegated Regulation (EU) 2026/269 - Solvency II 2025 review amendments - EUR-Lex
  5. Delegated Regulation (EU) 2015/35 - Art. 84 (Look-through approach) - EIOPA
  6. Directive 2009/138/EC - Art. 37 (Capital add-on) - EIOPA
  7. 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.