Regulation (EU) No 575/2013 of the European Parliament and of the Council of 26 June 2013 on prudential requirements for credit institutions and investment firms and amending Regulation (EU) No 648/2012 Text with EEA relevance
- (c) the client has conducted a sufficiently thorough legal review, which it has kept up to date, that substantiates that the arrangements that ensure that the condition set out in point (b) is met are legal, valid, binding and enforceable under the relevant laws of the relevant jurisdiction or jurisdictions;
- (d) the CCP is a QCCP.
When assessing its compliance with the condition set out in point (b) of the first subparagraph, an institution may take into account any clear precedents of transfers of client positions and of corresponding collateral at a CCP, and any industry intent to continue with that practice.
By way of derogation from paragraph 2 of this Article, where an institution that is a client fails to meet the condition set out in point (a) of that paragraph because that institution is not protected from losses in case the clearing member and another client of the clearing member jointly default, provided that all the other conditions set out in points (a) to (d) of that paragraph are met, the institution may calculate the own funds requirements for its trade exposures for CCP-related transactions with its clearing member in accordance with Article 306, subject to replacing the 2 % risk weight set out in point (a) of Article 306(1) with a 4 % risk weight.
In the case of a multi-level client structure, an institution that is a lower-level client accessing the services of a CCP through a higher-level client may apply the treatment set out in paragraph 2 or 3 only where the conditions set out therein are met at every level of that structure.
Article 306
Own funds requirements for trade exposures
An institution shall apply the following treatment to its trade exposures with CCPs:
- (a) it shall apply a risk weight of 2 % to the exposure values of all its trade exposures with QCCPs;
- (b) it shall apply the risk weight used for the Standardised Approach to credit risk as set out in Article 107(2)(b) to all its trade exposures with non-qualifying CCPs;
- (c) where an institution acts as a financial intermediary between a client and a CCP, and the terms of the CCP-related transaction stipulate that the institution is not required to reimburse the client for any losses suffered due to changes in the value of that transaction in the event that the CCP defaults, that institution may set the exposure value of the trade exposure with the CCP that corresponds to that CCP-related transaction to zero;
- (d) where an institution acts as a financial intermediary between a client and a CCP, and the terms of the CCP-related transaction stipulate that the institution is required to reimburse the client for any losses suffered due to changes in the value of that transaction in the event that the CCP defaults, that institution shall apply the treatment in point (a) or (b), as applicable, to the trade exposure with the CCP that corresponds to that CCP-related transaction.
By way of derogation from paragraph 1, where assets posted as collateral to a CCP or a clearing member are bankruptcy remote in the event that the CCP, the clearing member or one or more of the other clients of the clearing member become insolvent, an institution may attribute an exposure value of zero to the counterparty credit risk exposures for those assets.
An institution shall calculate exposure values of its trade exposures with a CCP in accordance with Sections 1 to 8 of this Chapter and with Section 4 of Chapter 4, as applicable.
An institution shall calculate the risk-weighted exposure amounts for its trade exposures with CCPs for the purposes of Article 92(3) as the sum of the exposure values of its trade exposures with CCPs, calculated in accordance with paragraphs 2 and 3 of this Article, multiplied by the risk weight determined in accordance with paragraph 1 of this Article.
Article 307
Own funds requirements for contributions to the default fund of a CCP
An institution that acts as a clearing member shall apply the following treatment to its exposures arising from its contributions to the default fund of a CCP:
- (a) it shall calculate the own funds requirement for its pre-funded contributions to the default fund of a QCCP in accordance with the approach set out in Article 308;
- (b) it shall calculate the own funds requirement for its pre-funded and unfunded contributions to the default fund of a non-qualifying CCP in accordance with the approach set out in Article 309;
- (c) it shall calculate the own funds requirement for its unfunded contributions to the default fund of a QCCP in accordance with the treatment set out in Article 310.
Article 308
Own funds requirements for pre-funded contributions to the default fund of a QCCP
The exposure value for an institution's pre-funded contribution to the default fund of a QCCP (DFi) shall be the amount paid in or the market value of the assets delivered by that institution reduced by any amount of that contribution that the QCCP has already used to absorb its losses following the default of one or more of its clearing members.
An institution shall calculate the own funds requirement to cover the exposure arising from its pre-funded contribution as follows:
Image omitted; see official source
where:
| Ki | = | the own funds requirement; |
| --- | --- | --- |
| i | = | the index denoting the clearing member; |
| --- | --- | --- |
| KCCP | = | the hypothetical capital of the QCCP communicated to the institution by the QCCP in accordance with Article 50c of Regulation (EU) No 648/2012; |
| --- | --- | --- |
| DFi | = | the pre-funded contribution; |
| --- | --- | --- |
| DFCCP | = | the pre-funded financial resources of the CCP communicated to the institution by the CCP in accordance with Article 50c of Regulation (EU) No 648/2012; and |
| --- | --- | --- |
| DFCM | = | the sum of pre-funded contributions of all clearing members of the QCCP communicated to the institution by the QCCP in accordance with Article 50c of Regulation (EU) No 648/2012. |
An institution shall calculate the risk-weighted exposure amounts for exposures arising from that institution's pre-funded contribution to the default fund of a QCCP for the purposes of Article 92(3) as the own funds requirement, calculated in accordance with paragraph 2 of this Article, multiplied by 12,5.
Article 309
Own funds requirements for pre-funded contributions to the default fund of a non-qualifying CCP and for unfunded contributions to a non-qualifying CCP
An institution shall apply the following formula to calculate the own funds requirement for the exposures arising from its pre-funded contributions to the default fund of a non-qualifying CCP and from unfunded contributions to such CCP:
K = DF + UC
where:
| K | = | the own funds requirement; |
| --- | --- | --- |
| DF | = | the pre-funded contributions to the default fund of a non-qualifying CCP; and |
| --- | --- | --- |
| UC | = | the unfunded contributions to the default fund of a non-qualifying CCP. |
An institution shall calculate the risk-weighted exposure amounts for exposures arising from that institution's contribution to the default fund of a non-qualifying CCP for the purposes of Article 92(3) as the own funds requirement, calculated in accordance with paragraph 1 of this Article, multiplied by 12,5.”;
Article 310
Own funds requirements for unfunded contributions to the default fund of a QCCP
An institution shall apply a 0 % risk weight to its unfunded contributions to the default fund of a QCCP.
Article 311
Own funds requirements for exposures to CCPs that cease to meet certain conditions
Institutions shall apply the treatment set out in this Article where it has become known to them, following a public announcement or notification from the competent authority of a CCP used by those institutions or from that CCP itself, that the CCP will no longer comply with the conditions for authorisation or recognition, as applicable.
Where the condition set out in paragraph 1 is met, institutions shall, within three months of becoming aware of the circumstance referred to therein, or at an earlier time if the competent authorities of those institutions so require, do the following with respect to their exposures to that CCP:
- (a) apply the treatment set out in point (b) of Article 306(1) to their trade exposures to that CCP;
- (b) apply the treatment set out in Article 309 to their pre-funded contributions to the default fund of that CCP and to its unfunded contributions to that CCP;
- (c) treat their exposures to that CCP, other than the exposures listed in points (a) and (b) of this paragraph, as exposures to a corporate in accordance with the Standardised Approach for credit risk set out in Chapter 2.
TITLE III OWN FUNDS REQUIREMENT FOR OPERATIONAL RISK
CHAPTER 1 CALCULATION OF THE OWN FUNDS REQUIREMENT FOR OPERATIONAL RISK
Article 311a
Definitions
For the purposes of this Title, the following definitions apply:
- (1) “operational risk event” means any event linked to an operational risk which generates a loss or multiple losses, within one or multiple financial years;
- (2) “aggregated gross loss” means the sum of all gross losses linked to the same operational risk event over one or multiple financial years;
- (3) “aggregated net loss” means the sum of all net losses linked to the same operational risk event over one or multiple financial years;
- (4) “grouped losses” means all operational losses caused by a common underlying trigger or root cause that could be grouped into one operational risk event.
Article 312
Own funds requirement for operational risk
The own funds requirement for operational risk shall be the business indicator component calculated in accordance with Article 313.
Article 313
Business indicator component
Institutions shall calculate their business indicator component in accordance with the following formula:
Image omitted; see official source
where:
- BIC = the business indicator component;
- BI = the business indicator, expressed in billions of euro, calculated in accordance with Article 314.
Article 314
Business indicator
Institutions shall calculate their business indicator in accordance with the following formula:
BI = ILDC + SC + FC
where:
- BI = the business indicator, expressed in billions of euro;
- ILDC = the interest, leases and dividend component, expressed in billions of euro and calculated in accordance with paragraph 2;
- SC = the services component, expressed in billions of euro and calculated in accordance with paragraph 5;
- FC = the financial component, expressed in billions of euro and calculated in accordance with paragraph 6.
For the purposes of paragraph 1, the interest, leases and dividend component shall be calculated in accordance with the following formula:
Image omitted; see official source
where:
- ILDC = the interest, leases and dividend component;
- IC = the interest component, which is the institution’s interest income from all financial assets and other interest income, including finance income from financial leases and income from operating leases and profits from leased assets, minus the institution’s interest expenses from all financial liabilities and other interest expenses, including interest expense from financial and operating leases, depreciation and impairment of, and losses from, operating leased assets, calculated as the annual average of the absolute values of the differences over the last three financial years;
- AC = the asset component, which is the sum of the institution’s total gross outstanding loans, advances, interest bearing securities, including government bonds, and lease assets, calculated as the annual average over the last three financial years on the basis of the amounts at the end of each of the respective financial years;
- DC = the dividend component, which is the institution’s dividend income from investments in stocks and funds not consolidated in the financial statements of the institution, including dividend income from non-consolidated subsidiaries, associates and joint ventures, calculated as the annual average over the last three financial years.
By way of derogation from paragraph 2, an EU parent institution may, until 31 December 2027, request permission from its consolidating supervisor to calculate a separate interest, leases and dividend component for any of its specific subsidiary institutions and to add the outcome of that calculation to the interest, leases and dividend component calculated, on a consolidated basis, for the other entities of the group where all of the following conditions are met:
- (a) the subsidiaries’ retail or commercial banking activities account for the majority of their activity;
- (b) a significant proportion of the subsidiaries’ retail or commercial banking activities comprise loans associated with a high PD;
- (c) the use of the derogation provides an appropriate basis for calculating the EU parent institution’s own funds requirement for operational risk.
Once granted, the permission, and its conditions, shall be reassessed by the consolidating supervisor every two years.
The consolidating supervisor shall notify EBA as soon as such permission is granted, confirmed or withdrawn.
By 31 December 2031, EBA shall report to the Commission on the use and appropriateness of the derogation referred to in the first subparagraph having regard, in particular, to the specific business models concerned and to the adequacy of the related own funds requirement for operational risk. On the basis of that report, and taking due account of the related internationally agreed standards developed by the BCBS, the Commission shall, where appropriate, submit to the European Parliament and to the Council a legislative proposal by 31 December 2032.
Until 31 December 2027 or until the consolidating supervisor grants permission in accordance with paragraph 3, whichever is earlier, an EU parent institution that has been granted permission to apply the alternative standardised approach to its business lines of retail banking and commercial banking to calculate its own funds requirement for operational risk may, after having informed its consolidating supervisor, continue to use the alternative standardised approach as set out in the version of this Regulation applicable on 8 July 2024 for the purpose of calculating the own funds requirement for operational risk relating to those two business lines and according to the scope of the existing permission.
For the purposes of paragraph 1, the services component shall be calculated in accordance with the following formula:
SC = max(OI,OE) + max(FI,FE)
where:
- SC = the services component;
- OI = the other operating income, which is the annual average over the last three financial years of the institution’s income from ordinary banking operations not included in other items of the business indicator but of similar nature;
- OE = the other operating expenses, which is the annual average over the last three financial years of the institution’s expenses and losses from ordinary banking operations not included in other items of the business indicator but of similar nature, and from operational risk events;
- FI = the fee and commission income component, which is the annual average over the last three financial years of the institution’s income received from providing advice and services, including income received by the institution as an outsourcer of financial services;
- FE = the fee and commission expenses component, which is the annual average over the last three financial years of the institution’s expenses paid for receiving advice and services, including outsourcing fees paid by the institution for the supply of financial services, but excluding outsourcing fees paid for the supply of non-financial services.
Subject to the prior permission of the competent authority, and to the extent that the institutional protection scheme has at its disposal suitable and uniformly stipulated systems for the monitoring and classification of operational risks, institutions that are members of an institutional protection scheme meeting the requirements of Article 113(7) may calculate the services component net of any income received from, or expenses paid to, institutions that are members of the same institutional protection scheme. Any losses resulting from the related operational risks are subject to mutualisation across institutional protection scheme members.
For the purposes of paragraph 1, the financial component shall be calculated in accordance with the following formula:
FC = TC + BC
where:
- FC = the financial component;
- TC = the trading book component, which is the annual average of the absolute values over the last three financial years of the net profit or loss, as applicable, on the institution’s trading book, determined as appropriate either in accordance with accounting standards or in accordance with Part Three, Title I, Chapter 3, including from trading assets and trading liabilities, from hedge accounting and from exchange differences;
- BC = the banking book component, which is the annual average of the absolute values over the last three financial years of the net profit or loss, as applicable, on the institution’s non-trading book, including from financial assets and liabilities measured at fair value through profit and loss, from hedge accounting, from exchange differences and from realised gains and losses on financial assets and liabilities not measured at fair value through profit and loss.
Institutions shall not use any of the following elements in the calculation of their business indicator:
- (a) income and expenses from insurance or reinsurance business;
- (b) premiums paid and payments received from insurance or reinsurance policies purchased;
- (c) administrative expenses, including staff expenses, outsourcing fees paid for the supply of non-financial services, and other administrative expenses;
- (d) recovery of administrative expenses including recovery of payments on behalf of customers;
- (e) expenses of premises and fixed assets, except where those expenses result from operational risk events;
- (f) depreciation of tangible assets and amortisation of intangible assets, except the depreciation related to operating lease assets, which shall be included in financial and operating lease expenses;
- (g) provisions and reversal of provisions, except where those provisions relate to operational risk events;
- (h) expenses due to share capital repayable on demand;
- (i) impairment and reversal of impairment;
- (j) changes in goodwill recognised in profit or loss;
- (k) corporate income tax.
Where an institution has been in operation for less than three years, it shall use forward-looking business estimates in calculating the relevant components of its business indicator, subject to the satisfaction of its competent authority. The institution shall start using historical data as soon as that data are available.
EBA shall develop draft regulatory technical standards to specify the following:
- (a) the components of the business indicator, and their use, by developing lists of typical sub-items, taking into account international regulatory standards and, where appropriate, the prudential boundary defined in Part Three, Title I, Chapter 3;
- (b) the elements listed in paragraph 7 of this Article.
EBA shall submit those draft regulatory technical standards to the Commission by 10 January 2026.
Power is delegated to the Commission to supplement this Regulation by adopting the regulatory technical standards referred to in the first subparagraph of this paragraph in accordance with Articles 10 to 14 of Regulation (EU) No 1093/2010.
EBA shall develop draft implementing technical standards to specify the items of the business indicator by mapping those items with the corresponding reporting cells set out in Commission Implementing Regulation (EU) 2021/451 (33), where appropriate.
EBA shall submit those draft implementing technical standards to the Commission by 10 January 2026.
Power is conferred on the Commission to adopt the implementing technical standards referred to in the first subparagraph of this paragraph in accordance with Article 15 of Regulation (EU) No 1093/2010.
Article 315
Adjustments to the business indicator
Institutions shall include business indicator items of merged or acquired entities or activities in their business indicator calculation from the time of the merger or acquisition, as applicable, and shall cover the last three financial years.
Institutions may request permission from the competent authority to exclude from the business indicator amounts related to disposed entities or activities.
EBA shall develop draft regulatory technical standards to specify the following:
- (a) how institutions are to determine the adjustments to the business indicator referred to in paragraphs 1 and 2;
- (b) the conditions under which competent authorities are able to grant the permission referred to in paragraph 2;
- (c) the timing for the adjustments referred to in paragraph 2.
EBA shall submit those draft regulatory technical standards to the Commission by 10 January 2026.
Power is delegated to the Commission to supplement this Regulation by adopting the regulatory technical standards referred to in the first subparagraph of this paragraph in accordance with Articles 10 to 14 of Regulation (EU) No 1093/2010.
CHAPTER 2 DATA COLLECTION AND GOVERNANCE
Article 316
Calculation of the annual operational risk loss
Institutions with a business indicator equal to or exceeding EUR 750 million shall calculate their annual operational risk loss as the sum of all net losses over a given financial year, calculated in accordance with Article 318(1), that are equal to or exceed the loss data thresholds set out in Article 319(1) or (2).
By way of derogation from the first subparagraph, competent authorities may grant a waiver from the requirement to calculate an annual operational risk loss to institutions with a business indicator that does not exceed EUR 1 billion, provided that the institution has demonstrated to the satisfaction of the competent authority that it would be unduly burdensome for the institution to apply the first subparagraph.
For the purposes of paragraph 1, the relevant business indicator shall be the highest value of the business indicator that the institution has reported at the last eight reporting reference dates. An institution that has not yet reported its business indicator shall use its most recent business indicator.
EBA shall develop draft regulatory technical standards to specify the condition of ‘unduly burdensome’ for the purposes of paragraph 1.
EBA shall submit those draft regulatory technical standards to the Commission by 10 January 2026.
Power is delegated to the Commission to supplement this Regulation by adopting the regulatory technical standards referred to in the first subparagraph of this paragraph in accordance with Articles 10 to 14 of Regulation (EU) No 1093/2010.
Article 317
Loss data set
Institutions that calculate an annual operational risk loss in accordance with Article 316(1) shall have in place arrangements, processes and mechanisms to establish and maintain updated on an ongoing basis a loss data set compiling for each recorded operational risk event the gross loss amounts, non-insurance recoveries, insurance recoveries, reference dates and grouped losses, including those from misconduct events.
The institution’s loss data set shall capture all operational risk events stemming from all entities that are part of the scope of consolidation pursuant to Part One, Title II, Chapter 2.
For the purpose of paragraph 1, institutions shall:
- (a) include in the loss data set each operational risk event recorded during one or multiple financial years;
- (b) use the date of accounting for including losses related to operational risk events in the loss data set;
- (c) allocate losses and recoveries related to a common operational risk event or related operational risk events over time and posted to the accounts over several years, to the corresponding financial years of the loss data set, in line with their accounting treatment.
Institutions shall also collect:
- (a) information about the reference dates of operational risk events, including:
- (i) the date when the operational risk event happened or first began (“date of occurrence”), where available;
- (ii) the date on which the institution became aware of the operational risk event (“date of discovery”);
- (iii) the date or dates on which an operational risk event results in a loss, or the reserve or provision against a loss, recognised in the institution’s profit and loss accounts (“date of accounting”);
- (b) information on any recoveries of gross loss amounts as well as descriptive information about the drivers or causes of the loss events.
The level of detail of any descriptive information shall be commensurate with the size of the gross loss amount.
An institution shall not include in the loss data set operational risk events related to credit risk that are accounted for in the risk-weighted exposure amount for credit risk. Operational risk events that relate to credit risk but are not accounted for in the risk-weighted exposure amount for credit risk shall be included in the loss data set.
Operational risk events related to market risk shall be treated as operational risk and shall be included in the loss data set.
An institution shall, upon request from the competent authority, be able to map its historical internal loss data to the event type.
For the purposes of this Article, institutions shall ensure the soundness, robustness and performance of their IT systems and infrastructure necessary to maintain and update the loss data set, in particular by ensuring all of the following:
- (a) their IT systems and infrastructure are sound and resilient and that that soundness and resilience can be maintained on a continuous basis;
- (b) their IT systems and infrastructure are subject to configuration management, change management and release management processes;
- (c) where an institution outsources parts of the maintenance of its IT systems and infrastructure, the soundness, robustness and performance of the IT systems and infrastructure is ensured by confirming at least the following:
- (i) its IT systems and infrastructure are sound and resilient and that soundness and resilience can be maintained on a continuous basis;
- (ii) the process for planning, creating, testing and deploying the IT systems and infrastructure is sound and proper with reference to project management, risk management, governance, engineering, quality assurance and test planning, systems’ modelling and development, quality assurance in all activities, including code reviews and, where appropriate, code verification, and testing, including user acceptance;
- (iii) its IT systems and infrastructure are subject to configuration management, change management and release management processes;
- (iv) the process for planning, creating, testing and deploying the IT systems and infrastructure and contingency plans is approved by the management body or senior management and the management body and senior management are periodically informed about the IT systems and infrastructure performance.
For the purposes of paragraph 7, EBA shall develop draft regulatory technical standards establishing a risk taxonomy on operational risk that complies with international standards and a methodology to classify the loss events included in the loss data set based on that risk taxonomy on operational risk.
EBA shall submit those draft regulatory technical standards to the Commission by 10 January 2026.
Power is delegated to the Commission to supplement this Regulation by adopting the regulatory technical standards referred to in the first subparagraph of this paragraph in accordance with Articles 10 to 14 of Regulation (EU) No 1093/2010.
For the purposes of paragraph 8, EBA shall issue guidelines, in accordance with Article 16 of Regulation (EU) No 1093/2010, explaining the technical elements necessary to ensure the soundness, robustness and performance of governance arrangements to maintain the loss data set, with a particular focus on IT systems and infrastructures.
Article 318
Calculation of net loss and gross loss
For the purposes of Article 316(1), institutions shall calculate for each operational risk event a net loss as follows:
net loss = gross loss – recovery
where:
- gross loss = a loss linked to an operational risk event before recoveries of any type;
- recovery = one or multiple independent occurrences, related to the original operational risk event, separated in time, in which funds or inflows of economic benefits are received from a third party.
Institutions shall maintain on an ongoing basis an updated calculation of the net loss for each specific operational risk event. To that end, institutions shall update the net loss calculation based on the observed or estimated variations of the gross loss and the recovery for each of the last 10 financial years. Where losses, linked to the same operational risk event, are observed during multiple financial years within that 10-year time window, the institution shall calculate and maintain updated:
- (a) the net loss, gross loss and recovery for each of the financial years of the 10-year time window where that net loss, gross loss and recovery were recorded;
- (b) the aggregated net loss, aggregated gross loss and aggregated recovery of all relevant financial years of the 10-year time window.
For the purposes of paragraph 1, the following items shall be included in the gross loss computation:
- (a) direct charges, such as impairments, settlements, amounts paid to make good the damage, penalties and interest in arrears and legal fees, to the institution’s profit and loss accounts and write-downs due to the operational risk event, including:
- (i) where the operational risk event relates to market risk, the costs to unwind market positions in the recorded loss amount of the operational risk items;
- (ii) where payments relate to failures or inadequate processes of the institution, penalties, interest charges, late-payment charges, legal fees and, with the exclusion of the tax amount originally due, tax, unless that amount is already included under point (e);
- (b) costs incurred as a consequence of the operational risk event, including external expenses with a direct link to the operational risk event and costs of repair or replacement, incurred to restore the position that was prevailing before the operational risk event occurred;
- (c) provisions or reserves accounted for in the profit and loss accounts against the potential operational loss impact, including those from misconduct events;
- (d) losses stemming from operational risk events with a definitive financial impact which are temporarily booked in transitory or suspense accounts and are not yet reflected in the profit and loss accounts (“pending losses”);
- (e) negative economic impacts booked in a financial year and which are due to operational risk events impacting the cash flows or financial statements of previous financial years (“timing losses”).
For the purposes of the first subparagraph, point (d), material pending losses shall be included in the loss data set within a time period commensurate with the size and age of the pending item.
For the purposes of the first subparagraph, point (e), the institution shall include in the loss data set material timing losses where those losses are due to operational risk events that span more than one financial year. Institutions shall include in the recorded loss amount of the operational risk item of a financial year losses that are due to the correction of booking errors that occurred in any previous financial year, even where those losses do not directly affect third parties. Where there are material timing losses and the operational risk event affects directly third parties, including customers, providers and employees of the institution, the institution shall also include the official restatement of previously issued financial reports.
For the purposes of paragraph 1, the following items shall be excluded from the gross loss computation:
- (a) costs of general maintenance of contracts on property, plant or equipment;
- (b) internal or external expenditure to enhance the business after the operational risk losses, including upgrades, improvements, risk assessment initiatives and enhancements;
- (c) insurance premiums.
For the purposes of paragraph 1, recoveries shall be used to reduce gross losses only where the institution has received payment. Receivables shall not be considered as recoveries.
Upon request from the competent authority, the institution shall provide all documentation needed to verify the payments received and factored in the calculation of the net loss of an operational risk event.
Article 319
Loss data thresholds
To calculate the annual operational risk loss referred to in Article 316(1), institutions shall take into account from the loss data set operational risk events with a net loss, calculated in accordance with Article 318, that are equal to or exceed EUR 20 000 .
Without prejudice to paragraph 1 of this Article, and for the purposes of Article 446, institutions shall also calculate the annual operational risk loss referred to in Article 316(1), taking into account from the loss data set operational risk events with a net loss, calculated in accordance with Article 318, that are equal to or exceed EUR 100 000 .
In the case of an operational risk event that leads to losses during more than one financial year, as referred to in Article 318(1), second subparagraph, the net loss to be taken into account for the thresholds referred to in paragraphs 1 and 2 of this Article shall be the aggregated net loss.
Article 320
Exclusion of losses
An institution may request permission from the competent authority to exclude from the calculation of its annual operational risk loss exceptional operational risk events that are no longer relevant to the institution’s risk profile, where all of the following conditions are met:
- (a) the institution can demonstrate to the satisfaction of the competent authority that the cause of the operational risk event at the origin of those operational risk losses will not occur again;
- (b) the aggregated net loss of the corresponding operational risk event is either of the following:
- (i) equal to or exceed 10 % of the institution’s average annual operational risk loss, calculated over the last 10 financial years and based on the threshold referred to in Article 319(1), where the operational risk loss event refers to activities that are still part of the business indicator;
- (ii) related to an operational risk event that refers to activities divested from the business indicator in accordance with Article 315(2);
- (c) the operational risk loss was in the loss database for a minimum period of one year, unless the operational risk loss is related to activities divested from the business indicator in accordance with Article 315(2).
For the purposes of the first subparagraph, point (c), of this paragraph the minimum period of one year shall start from the date on which the operational risk event, included in the loss data set, first became greater than the materiality threshold provided for in Article 319(1).
An institution requesting the permission referred to in paragraph 1 shall provide the competent authority with documented justifications for the exclusion of an exceptional operational risk event, including:
- (a) a description of the operational risk event;
- (b) proof that the loss from the operational risk event is above the materiality threshold for loss exclusion referred to in paragraph 1, point (b)(i), including the date on which that operational risk event became greater than the materiality threshold;
- (c) the date on which the operational risk event concerned would be excluded, considering the minimum retention period set out in paragraph 1, point (c);
- (d) the reason why the operational risk event is no longer deemed relevant to the institution’s risk profile;
- (e) a demonstration that there are no similar or residual legal exposures and that the operational risk event to be excluded has no relevance to other activities or products;
- (f) reports of the institution’s independent review or validation, confirming that the operational risk event is no longer relevant and that there are no similar or residual legal exposures;
- (g) proof that competent bodies of the institution, through the institution’s approval processes, have approved the request for exclusion of the operational risk event and the date of such approval;
- (h) the impact of the exclusion of the operational risk event on the annual operational risk loss.
EBA shall develop draft regulatory technical standards to specify the conditions that the competent authority has to assess pursuant to paragraph 1, including how the average annual operational risk loss is to be computed and the specifications on the information to be collected pursuant to paragraph 2 or any further information deemed necessary to carry out the assessment.
EBA shall submit those draft regulatory technical standards to the Commission by 10 January 2027.
Power is delegated to the Commission to supplement this Regulation by adopting the regulatory technical standards referred to in the first subparagraph of this paragraph in accordance with Articles 10 to 14 of Regulation (EU) No 1093/2010.
Article 321
Inclusion of losses from merged or acquired entities or activities
Losses stemming from merged or acquired entities or activities shall be included in the loss data set as soon as the business indicator items related to those entities or activities are included in the institution’s business indicator calculation in accordance with Article 315(1). To that end, institutions shall include losses observed during a 10-year period prior to the acquisition or merger.
EBA shall develop draft regulatory technical standards to specify how institutions are to determine the adjustments to their loss data set following the inclusion of losses from merged or acquired entities or activities as referred to in paragraph 1.
EBA shall submit those draft regulatory technical standards to the Commission by 10 January 2027.
Power is delegated to the Commission to supplement this Regulation by adopting the regulatory technical standards referred to in the first subparagraph of this paragraph in accordance with Articles 10 to 14 of Regulation (EU) No 1093/2010.
Article 322
Comprehensiveness, accuracy and quality of the loss data
Institutions shall have in place the organisation and processes to ensure the comprehensiveness, accuracy and quality of the loss data and to subject that data to independent review.
Competent authorities shall periodically, and at least every five years, review the quality of the loss data of an institution that calculates an annual operational risk loss in accordance with Article 316(1). Competent authorities shall carry out such review at least every three years for an institution with a business indicator that exceeds EUR 1 billion.
Article 323
Operational risk management framework
Institutions shall have in place:
- (a) a well-documented assessment and management system for operational risk which is closely integrated into day-to-day risk management processes, forms an integral part of the process of monitoring and controlling the institution’s operational risk profile, and for which clear responsibilities have been assigned; the assessment and management system for operational risk shall identify the institution’s exposures to operational risk and track relevant operational risk data, including material loss data;
- (b) an operational risk management function that is independent from the institution’s business and operational units;
- (c) a system of reporting to senior management that provides operational risk reports to relevant functions within the institution;
- (d) a system of regular monitoring and reporting of operational risk exposures and loss experience, and procedures for taking appropriate corrective actions;
- (e) routines for ensuring compliance, and policies for the treatment of non-compliance;
- (f) regular reviews of the institution’s operational risk assessment and management processes and systems, carried out by internal or external auditors that possess the necessary knowledge;
- (g) internal validation processes that operate in a sound and effective manner;
- (h) transparent and accessible data flows and processes associated with the institution’s operational risk assessment system.
EBA shall develop draft regulatory technical standards to specify the obligations under paragraph 1, points (a) to (h), taking into consideration the size and complexity of the institution.
EBA shall submit those draft regulatory technical standards to the Commission by 10 January 2027.
Power is delegated to the Commission to supplement this Regulation by adopting the regulatory technical standards referred to in the first subparagraph of this paragraph in accordance with Articles 10 to 14 of Regulation (EU) No 1093/2010.
TITLE IV OWN FUNDS REQUIREMENTS FOR MARKET RISK
CHAPTER 1 General provisions
Article 325
Approaches for calculating the own funds requirements for market risk
An institution shall calculate the own funds requirements for market risk for all its trading book positions and all its non-trading book positions that are subject to foreign exchange risk or commodity risk in accordance with the following approaches:
- (a) the alternative standardised approach set out in Chapter 1a;
- (b) the alternative internal model approach set out in Chapter 1b for those positions assigned to trading desks for which the institution has been granted permission by its competent authority to use that alternative approach as set out in Article 325az(1);
- (c) the simplified standardised approach referred to in paragraph 2 of this Article, provided that the institution meets the conditions set out in Article 325a(1).
By way of derogation from the first subparagraph, an institution shall not calculate own funds requirements for foreign exchange risk for trading book positions and non-trading book positions that are subject to foreign exchange risk where those positions are deducted from the institution’s own funds. The institution shall document its use of the derogation set out in this subparagraph, including its impact and materiality, and make the information available, upon request, to its competent authority.
The own funds requirements for market risk calculated in accordance with the simplified standardised approach shall be the sum of the following own funds requirements, as applicable:
- (a) the own funds requirements for position risk referred to in Chapter 2, multiplied by:
- (i) 1,3 , for the general and specific risks of positions in debt instruments, excluding securitisation instruments as referred to in Article 337;
- (ii) 3,5 , for the general and specific risks of positions in equity instruments;
- (b) the own funds requirements for foreign exchange risk referred to in Chapter 3, multiplied by 1,2 ;
- (c) the own funds requirements for commodity risk referred to in Chapter 4, multiplied by 1,9 ;
- (d) the own funds requirements for securitisation instruments as referred to in Article 337.
An institution using the alternative internal model approach referred to in paragraph 1, point (b), of this Article to calculate the own funds requirements for market risk of trading book positions and non-trading book positions that are subject to foreign exchange risk or commodity risk shall report to its competent authority the monthly calculation of the own funds requirements for market risk using the alternative standardised approach referred to in paragraph 1, point (a), of this Article for each trading desk to which those positions have been assigned in accordance with Article 104b.
An institution may use a combination of the alternative standardised approach referred to in paragraph 1, point (a), of this Article and the alternative internal model approach referred to in paragraph 1, point (b), of this Article on a permanent basis, provided that the total own funds requirements for market risk calculated using the alternative internal model approach represent at least 10 % of the total own funds requirements for market risk. On an individual basis, an institution shall not use either of those approaches in combination with the simplified standardised approach referred to in paragraph 1, point (c), of this Article. At consolidated level, an institution may use a combination of those three approaches to calculate the own funds requirements for market risk in accordance with Article 325b(4), point (b), as long as the simplified standardised approach is not used in combination with the other two approaches within a single legal entity.
An institution shall not use the alternative internal model approach referred to in paragraph 1, point (b), for instruments in its trading book that are securitisation positions or positions included in the alternative correlation trading portfolio (ACTP) set out in paragraphs 6, 7 and 8.
Securitisation positions and nth-to-default credit derivatives that meet all the following criteria shall be included in the ACTP:
- (a) the positions are neither re-securitisation positions, nor options on a securitisation tranche, nor any other derivatives of securitisation exposures that do not provide a pro-rata share in the proceeds of a securitisation tranche;
- (b) all their underlying instruments are:
- (i) single-name instruments, including single-name credit derivatives, for which a liquid two-way market exists;
- (ii) commonly-traded indices based on the instruments referred to in point (i).
A two-way market is considered to exist where there are independent bona fide offers to buy and sell, so that a price that is reasonably related to the last sales price or current bona fide competitive bid and offer quotations can be determined within one day and settled at that price within a relatively short time conforming to trade custom.
Positions with any of the following underlying instruments shall not be included in the ACTP:
- (a) underlying instruments that are assigned to the exposure classes referred to in point (h) or (i) of Article 112;
- (b) a claim on a special purpose entity, collateralised, directly or indirectly, by a position that, in accordance with paragraph 6, would itself not be eligible for inclusion in the ACTP.
Institutions may include in the ACTP positions that are neither securitisation positions nor nth-to-default credit derivatives but that hedge other positions in that portfolio, provided that a liquid two-way market as described in the second subparagraph of paragraph 6 exists for the instrument or its underlying instruments.
EBA shall develop draft regulatory technical standards to specify how institutions are to calculate the own funds requirements for market risk for non-trading book positions that are subject to foreign exchange risk or commodity risk in accordance with the approaches set out in paragraph 1, points (a) and (b), of this Article, taking into account the requirements set out in Article 104b(5) and (6), where applicable.
EBA shall submit those draft regulatory technical standards to the Commission by 10 July 2025.
Power is delegated to the Commission to supplement this Regulation by adopting the regulatory technical standards referred to in the first subparagraph of this paragraph in accordance with Articles 10 to 14 of Regulation (EU) No 1093/2010.
Article 325a
Conditions for using the simplified standardised approach
An institution may calculate the own funds requirements for market risk by using the simplified standardised approach referred to in Article 325(1), point (c), provided that the size of the institution’s on- and off-balance-sheet business that is subject to market risk is equal to or less than each of the following thresholds, on the basis of an assessment carried out on a monthly basis using data as of the last day of the month:
- (a) 10 % of the institution's total assets;
- (b) EUR 500 million.
Institutions shall calculate the size of their on- and off-balance-sheet business that is subject to market risk using data as of the last day of each month in accordance with the following requirements:
- (a) all the positions assigned to the trading book shall be included, except credit derivatives that are recognised as internal hedges against non-trading book credit risk exposures and the credit derivative transactions that perfectly offset the market risk of the internal hedges as referred to in Article 106(3);
- (b) all non-trading book positions that are subject to foreign exchange risk or commodity risk shall be included, except those positions that are excluded from the calculation of the own funds requirements for foreign exchange risk in accordance with Article 104c or that are deducted from the institutions’ own funds;
- (c) all positions shall be valued at their market values on that date, except for positions referred to in point (b); where the market value of a trading book position is not available on a given date, institutions shall take a fair value for the trading book position on that date; where the fair value and market value of a trading book position are not available on a given date, institutions shall take the most recent market value or fair value for that position;
- (d) all non-trading book positions that are subject to foreign exchange risk shall be considered as an overall net foreign exchange position and valued in accordance with Article 352;
- (e) all the non-trading book positions that are subject to commodity risk shall be valued in accordance with Articles 357 and 358;
- (f) the absolute value of the aggregated long position shall be summed with the absolute value of the aggregated short position.
For the purposes of the first subparagraph, the meaning of long and short positions is the same as the meaning set out in Article 94(3).
For the purposes of the first subparagraph, the value of the aggregated long (short) position shall be equal to the sum of the values of the individual long (short) positions included in the calculation in accordance with points (a) and (b) of that subparagraph.
Institutions shall notify the competent authorities when they calculate, or cease to calculate, their own funds requirements for market risk in accordance with this Article.
An institution that no longer meets one or more of the conditions set out in paragraph 1 shall immediately notify the competent authority thereof.
Institutions shall cease to calculate the own funds requirements for market risk in accordance with the approach referred to in Article 325(1), point (c), within three months of either of the following cases:
- (a) the institution does not meet the condition set out in point (a) or (b) of paragraph 1 for three consecutive months; or
- (b) the institution does not meet the condition set out in point (a) or (b) of paragraph 1 during more than 6 out of the last 12 months.
An institution that has ceased to calculate the own funds requirements for market risk using the approach referred to in Article 325(1), point (c), shall only be permitted to start calculating the own funds requirements for market risk using that approach where it demonstrates to the competent authority that all of the conditions set out in paragraph 1 of this Article have been met for an uninterrupted period of one year.
Institutions shall not enter into, buy or sell a position only for the purpose of complying with any of the conditions set out in paragraph 1 during the monthly assessment.
Article 325b
Permission for consolidated requirements
Subject to paragraph 2, and only for the purpose of calculating net positions and own funds requirements in accordance with this Title on a consolidated basis, institutions may use positions in one institution or undertaking to offset positions in another institution or undertaking.
Institutions may apply paragraph 1 only with the permission of the competent authorities which shall be granted if all the following conditions are met:
- (a) there is a satisfactory allocation of own funds within the group;
- (b) the regulatory, legal or contractual framework in which the institutions operate guarantees mutual financial support within the group.
Where there are undertakings located in third countries, all the following conditions shall be met in addition to those set out in paragraph 2:
- (a) such undertakings have been authorised in a third country and either satisfy the definition of a credit institution or are recognised third-country investment firms;
- (b) on an individual basis, such undertakings comply with own funds requirements equivalent to those laid down in this Regulation;
- (c) no regulations exist in the third countries in question which might significantly affect the transfer of funds within the group.
Where a competent authority has not granted an institution the permission referred to in paragraph 2 for at least one institution or undertaking of the group, the following requirements shall apply for the calculation of the own funds requirements for market risk on a consolidated basis in accordance with this Title:
- (a) the institution shall calculate net positions and own funds requirements in accordance with this Title for all positions in institutions or undertakings of the group for which the institution has been granted the permission referred to in paragraph 2, using the treatment set out in paragraph 1;
- (b) the institution shall calculate net positions and own funds requirements in accordance with this Title individually for all positions in each institution or undertaking of the group for which the institution has not been granted the permission referred to in paragraph 2;
- (c) the institution shall calculate the total own funds requirements in accordance with this Title on a consolidated basis by adding the amounts calculated in points (a) and (b) of this paragraph.
For the purposes of the calculation referred to in the first subparagraph, points (a) and (b), institutions and undertakings referred to therein shall use the same reporting currency as the reporting currency used to calculate the own funds requirements for market risk in accordance with this Title on a consolidated basis for the group.
CHAPTER 1a Alternative standardised approach
Section 1 General provisions
Article 325c
Scope, structure and qualitative requirements of the alternative standardised approach
Institutions shall have in place, and make available to the competent authorities, a documented set of internal policies, procedures and controls for monitoring and ensuring compliance with the requirements of this Chapter. Any changes to those policies, procedures and controls shall be notified to the competent authorities in due course.
Institutions shall calculate the own funds requirements for market risk in accordance with the alternative standardised approach for a portfolio of trading book positions or non-trading book positions that are subject to foreign exchange or commodity risk as the sum of the following three components:
- (a) the own funds requirement under the sensitivities-based method set out in Section 2;
- (b) the own funds requirement for the default risk set out in Section 5 which is only applicable to the trading book positions referred to in that Section;
- (c) the own funds requirement for residual risks set out in Section 4 which is only applicable to the trading book positions referred to in that Section.
By way of derogation from paragraph 2, an institution shall calculate the own funds requirements for market risk in accordance with the alternative standardised approach for the institution’s holdings of its own debt instruments as the sum of the two components referred to in paragraph 2, points (a) and (c). When calculating the own funds requirements for market risk for own debt instruments under the sensitivities-based method referred to in paragraph 2, point (a), the institution shall exclude from that calculation the risks from the institution’s own credit spread.
Institutions shall have a risk control unit that is independent from business trading units and that reports directly to senior management. That risk control unit shall be responsible for designing and implementing the alternative standardised approach. It shall produce and analyse monthly reports on the output of the alternative standardised approach, as well as the appropriateness of the institution’s trading limits.
Institutions shall independently review the alternative standardised approach they use for the purposes of this Chapter to the satisfaction of the competent authorities, either as part of their regular internal auditing process, or by mandating a third-party undertaking to conduct that review. The outcome of such a review shall be reported to the appropriate management bodies.
For the purposes of the first subparagraph, ‘third-party undertaking’ means an undertaking that provides auditing or consulting services to institutions and that has staff with sufficient skills in the area of market risk.
The review of the alternative standardised approach referred to in paragraph 5 shall cover the activities of both the business trading units and of the independent risk control unit and shall assess at least the following:
- (a) the internal policies, procedures and controls for monitoring and ensuring compliance with the requirements referred to in paragraph 1 of this Article;
- (b) the adequacy of the documentation of the risk management system and processes and the organisation of the risk control unit referred to in paragraph 4 of this Article;
- (c) the accuracy of sensitivity computations and of the process used to derive those computations from the institution’s pricing models that serve as a basis for reporting profit and loss to senior management, as referred to in Article 325t;
- (d) the verification process that the institution employs to evaluate the consistency, timeliness and reliability of the data sources used in the calculation of the own funds requirements for market risk using the alternative standardised approach, including the independence of those data sources.
An institution shall conduct the review referred to in the first subparagraph at least once a year, or on a less frequent basis of up to every two years where the institution can demonstrate to the satisfaction of the competent authority that the size, systemic importance, nature, scale and complexity of its trading book business justifies a less frequent review.
Competent authorities shall verify that the calculation referred to in paragraph 2 of this Article, including the implementation by an institution of the requirements set out in this Chapter and in Article 325a, is performed with integrity.
EBA shall develop draft regulatory technical standards to specify the assessment methodology under which competent authorities conduct the verification referred to in paragraph 7;
EBA shall submit those draft regulatory technical standards to the Commission by 10 July 2028.
Power is delegated to the Commission to supplement this Regulation by adopting the regulatory technical standards referred to in the first subparagraph of this paragraph in accordance with Articles 10 to 14 of Regulation (EU) No 1093/2010.
Section 2 Sensitivities-based method for calculating the own funds requirement
Article 325d
Definitions
For the purposes of this Chapter, the following definitions apply:
- (1) ‘risk class’ means one of the following seven categories:
- (i) general interest rate risk;
- (ii) credit spread risk (CSR) for non-securitisation;
- (iii) credit spread risk for securitisation not included in the alternative correlation trading portfolio (non-ACTP CSR);
- (iv) credit spread risk for securitisation included in the alternative correlation trading portfolio (ACTP CSR);
- (v) equity risk;
- (vi) commodity risk;
- (vii) foreign exchange risk;
- (2) ‘sensitivity’ means the relative change in the value of a position, as a result of a change in the value of one of the relevant risk factors of the position, calculated with the institution's pricing model in accordance with Subsection 2 of Section 3;
- (3) ‘bucket’ means a sub-category of positions within one risk class with a similar risk profile to which a risk weight as defined in Subsection 1 of Section 3 is assigned.
Article 325e
Components of the sensitivities-based method
Institutions shall calculate the own funds requirement for market risk under the sensitivities-based method by aggregating the following three own funds requirements in accordance with Article 325h:
- (a) own funds requirements for delta risk which capture the risk of changes in the value of an instrument due to movements in its non-volatility related risk factors;
- (b) own funds requirements for vega risk which capture the risk of changes in the value of an instrument due to movements in its volatility-related risk factors;
- (c) own funds requirements for curvature risk which capture the risk of changes in the value of an instrument due to movements in the main non-volatility related risk factors not captured by the own funds requirements for delta risk.
For the purpose of the calculation referred to in paragraph 1,
- (a) all the positions of instruments with optionality shall be subject to the own funds requirements referred to in points (a), (b) and (c) of paragraph 1 for the risks other than exotic underlyings of the instruments as referred to in point (a) of Article 325u(2);
- (b) all the positions of instruments without optionality shall be subject to the own funds requirements referred to in point (a) of paragraph 1 for the risks other than exotic underlyings of the instruments as referred to in point (a) of Article 325u(2).
For the purposes of this Chapter, instruments with optionality include, among others: calls, puts, caps, floors, swap options, barrier options and exotic options. Embedded options, such as prepayment or behavioural options, shall be considered to be stand-alone positions in options for the purpose of calculating the own funds requirements for market risk.
For the purposes of this Chapter, instruments whose cash flows can be written as a linear function of the underlying's notional amount shall be considered to be instruments without optionality.
By way of derogation from point (b) of paragraph 2, an institution may choose to subject all the positions of instruments without optionality to the own funds requirements referred to in points (a) and (c) of paragraph 1.
An institution that chooses to use the approach set out in the first subparagraph shall notify its competent authority thereof at least three months before the first use. After those three months have elapsed and provided that the competent authority has not objected, the institution may use that approach until the competent authority informs the institution that it is no longer permitted to do so.
An institution that wishes to stop using the approach set out in the first subparagraph shall notify its competent authority thereof at least three months before stopping that use. The institution may stop applying that approach, unless the competent authority has objected within that three-month period.
Article 325f
Own funds requirements for delta and vega risks
Institutions shall apply the delta and vega risk factors described in Subsection 1 of Section 3 to calculate the own funds requirements for delta and vega risks.
Institutions shall apply the process set out in paragraphs 3 to 8 to calculate own funds requirements for delta and vega risks.
For each risk class, the sensitivity of all instruments in scope of the own funds requirements for delta or vega risks to each of the applicable delta or vega risk factors included in that risk class shall be calculated by using the corresponding formulas in Subsection 2 of Section 3. If the value of an instrument depends on several risk factors, the sensitivity shall be determined separately for each risk factor.
Sensitivities shall be assigned to one of the buckets ‘b’ within each risk class.
Within each bucket ‘b’, the positive and negative sensitivities to the same risk factor shall be netted, giving rise to net sensitivities (sk) to each risk factor k within a bucket.
The net sensitivities to each risk factor within each bucket shall be multiplied by the corresponding risk weights set out in Section 6, giving rise to weighted sensitivities to each risk factor within that bucket in accordance with the following formula:
WSk = RWk · sk
where:
| WSk | = | the weighted sensitivities; |
| --- | --- | --- |
| RWk | = | the risk weights; and |
| --- | --- | --- |
| sk | = | the risk factor. |
The weighted sensitivities to the different risk factors within each bucket shall be aggregated in accordance with the formula below, where the quantity within the square root function is floored at zero, giving rise to the bucket-specific sensitivity. The corresponding correlations for weighted sensitivities within the same bucket (ρkl), set out in Section 6, shall be used.
Image omitted; see official source
where:
| Kb | = | the bucket-specific sensitivity; and |
| --- | --- | --- |
| WS | = | the weighted sensitivities. |
The bucket-specific sensitivity shall be calculated for each bucket within a risk class in accordance with paragraphs 5, 6 and 7. Once the bucket-specific sensitivity has been calculated for all buckets, weighted sensitivities to all risk factors across buckets shall be aggregated in accordance with the formula below, using the corresponding correlations γbc for weighted sensitivities in different buckets set out in Section 6, giving rise to the risk-class specific own funds requirement for delta or vega risk:
Image omitted; see official source
where:
| Sb | = | Σk WSk for all risk factors in bucket b and Sc = Σk WSk in bucket c; where those values for Sb and Sc produce a negative number for the overall sum of Image omitted; see official source, the institution shall calculate the risk-class specific own funds requirements for delta or vega risk using an alternative specification whereby |
| --- | --- | --- |
| Sb | = | max [min (Σk WSk, Kb), – Kb] for all risk factors in bucket b and |
| --- | --- | --- |
| Sc | = | max [min (Σk WSk, Kc), – Kc] for all risk factors in bucket c. |
The risk-class specific own funds requirements for delta or vega risk shall be calculated for each risk class in accordance with paragraphs 1 to 8.
Article 325g
Own funds requirements for curvature risk
Institutions shall perform the calculations laid down in paragraph 2 for each risk factor of the instruments subject to the own funds requirement for curvature risk, except for the risk factors referred to in paragraph 3.
For a given risk factor, institutions shall perform those calculations on a net basis across all the positions of the instruments subject to the own funds requirement for curvature risk that contain that risk factor.
For a given risk factor k included in one or more instruments referred to in paragraph 1, institutions shall calculate the upward net curvature risk position of that risk factor (Image omitted; see official source) and the downward net curvature risk position of that risk factor (Image omitted; see official source) as follows:
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where:
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