Prudential regulation · Building blocks, parameters & calculation methods · Wall reference

Finalised Basel III («Basel IV») — building blocks & methods

The capital framework as implemented in the EU through CRR3 (Reg. (EU) 2024/1623, applying since 1 Jan 2025) and CRD6 (Dir. (EU) 2024/1619). Each block shows its parameters and the numbered steps by which the requirement is determined; grey boxes carry worked micro-examples. Market risk (FRTB) shown as applying from 1 Jan 2027 2027; transitional calibrations marked TRANS; Pillar 2 material marked PILLAR 2 — NOT IN TREA. Sections marked DETAIL ⧉ open a drawer with purpose, history, minimum requirements and worked examples; printed copies append that detail as booklet pages.

EDITION 2026·08 · EN-GB · V1
INDEPENDENT REFERENCE — NO ADVISORY AFFILIATION
ARTICLE REFS TO CRR AS AMENDED · SIMPLIFIED — TEXT PREVAILS
00

The capital pipeline — how the blocks connect

every exposure → a risk engine → two RWA totals → one max() gate → every requirement
Exposures
Loans & advances
on-balance
Commitments & guarantees
off-balance × CCF
Derivatives & SFTs
SA-CCR / IMM → EAD
Trading positions
boundary → trading book
Income & activity
business indicator
▶
Risk engines — each produces an internal and a standardised answer
03 Credit risk U: IRBS: SA-CR
03 Counterparty credit U: IMMS: SA-CCR
05 CVA U: SA-CVAS: BA-/SA-CVA
04 Market risk U: A-IMAS: (S)SA / A-SA
06 Operational risk U = S: SMA
Securitisation (07) & funds (03·C) U: SEC-IRBAS: SEC-SA
▶
U-TREA
sum of internal approaches where approved
S-TREA
the same book, all-standardised
▶
02 Output floorTREA = max(U-TREA, 55%×S-TREA)
x → 72.5% by 2030
▶
01 Requirements — all % of TREA
Minima 4.5 / 6.0 / 8.0% + P2R
Combined buffer (CCoB · CCyB · G/O-SII · SyRB)
MREL / TLAC risk-based leg
08: SREP · P2R/P2G · IRRBB · Pillar 3 disclosure — steer & verify, don't sum
Leverage exposure measure
non-risk-based lane — bypasses the engines
▶
LREM = on-bal + derivatives (SA-CCR-based) + SFT + off-bal (CCF ≥ 10%)
▶
3% Tier 1
+ 50% × G-SII buffer
▶
Parallel backstop — binds where floored RWA stay low
01

Regulatory capital & overall requirements

Own funds · buffers · leverage · TLAC/MREL · large exposures — Pt 2, Art 92, 429 ff CRR · CRD Ch 4 · BRRD

Capital instruments — eligibility by tier

Art 28 · 52 · 63 CRR
What an instrument must promise — and give up — to count in each tier.
CET1Additional Tier 1Tier 2
MaturityPerpetual; no incentive to redeemPerpetual; call ≥ 5y, supervisory approval, no expectation of callOriginal maturity ≥ 5y; straight-line amortisation in the final 5y
DistributionsFully discretionary, non-cumulativeFully discretionary, non-cumulative; no dividend pushers/stoppersCoupons payable; deferral not required
Loss absorptionFirst loss, going concernWrite-down / conversion at CET1 < 5.125% (or higher contractual trigger)Gone concern — bail-in / insolvency
SubordinationMost junior claimSenior only to CET1Senior to AT1; junior to all other liabilities

Repurchase/reduction of any tier requires prior supervisory permission (Art 77–78); grandfathering of legacy instruments has lapsed.

Own funds — and the bridge to TLAC / MREL

Art 26–72b · 92a CRR · Art 45 ff BRRD
Going-concern capital is built left to right; add eligible liabilities and the same stack becomes gone-concern loss absorbency.
+ CET1 items
  • Capital instruments & share premium
  • Retained earnings · interim profits (verified)
  • Accumulated OCI · other reserves
  • Eligible minority interests (surplus excluded)
− CET1 deductions
  • Goodwill & intangibles (net of DTLs)
  • Loss-dependent DTAs
  • IRB EL shortfall (03·B) · NPE backstop shortfall
  • Own & cross holdings · DB pension assets · AVAs
Threshold exemption
  • Significant FS holdings & temporary-difference DTAs: each ≤ 10% of CET1, ≤ 17.65% combined → risk-weighted 250% instead of deducted
=
CET1 capital
+ AT1
  • Instruments & premium − own/cross holdings
  • Shortfall spills the deduction into CET1
Tier 1 capital
+ Tier 2
  • Instruments & premium − own/cross holdings
  • General provisions ≤ 1.25% SA RWA · IRB EL surplus ≤ 0.6% IRB RWA
Total capital = own funds
+
+ Eligible liabilities
  • Issued & fully paid; not funded, secured or guaranteed by the entity itself
  • Remaining maturity ≥ 1 year; no set-off, no acceleration outside resolution
  • Subordination: contractual, structural (HoldCo) or statutory — required for resolution entities, limited senior allowance
  • No incentives to redeem; calls only with authority approval
TLAC / MREL resources
own funds + eligible liabilities
Calibration
  • G-SII TLAC (Pillar 1): ≥ 18% of TREA and ≥ 6.75% of LREM
  • MREL (firm-specific, resolution authority): loss-absorption amount + recapitalisation amount + market-confidence charge, set per resolution strategy
  • Internal MREL: 75–90% pre-positioned from material subsidiaries to the resolution entity
  • CET1 used for buffers cannot double-count toward MREL/TLAC (stacking order)

Reading the bridge: Pillar 1 capital protects a going concern; MREL/TLAC ensures that, in resolution, the same balance sheet holds enough bail-in-able claims to absorb losses and rebuild the capital stack without public money. Cross-holdings of other G-SIIs' TLAC are deducted from own funds to stop contagion loops.

Capital ratios & minima

Art 92 CRR
Three fractions over one denominator — the floored TREA from section 02.
CET1 ratioCommon Equity Tier 1TREA≥ 4.5%
Tier 1 ratioCET1 + AT1TREA≥ 6.0%
Total capitalTier 1 + Tier 2TREA≥ 8.0%
  • + P2R — firm-specific, same fraction structure: ≥ 56.25% CET1, ≥ 75% T1.
  • + Combined buffer (CET1 only) on top; breach → MDA ladder restricting distributions, AT1 coupons, variable pay.
  • Denominator discipline: TREA is the floored figure — the output floor propagates into every ratio on this chart.

Buffers (CET1)

Art 128–142 CRD
Usable-in-theory cushions stacked on the minima; all sized on floored TREA, all CET1.
SyRB uncapped · sectoral possible · additive if different risk
max( G-SII 1.0–3.5% , O-SII ≤ 3.0% )
CCyB 0–2.5%+ · exposure-weighted avg of national rates
CCoB 2.5% · always on
  • Sum of the four layers = combined buffer requirement (CBR), sitting on top of 8% + P2R.
  • Dip into the CBR → automatic MDA restrictions scale with the depth of the breach; using buffers is legal, but the payout penalty makes them sticky in practice.
  • CCyB rates are set per country by macroprudential authorities (NL: DNB) and bind via the location of exposures, not of the bank.

Leverage ratio

Art 429–430 CRR
The non-risk-based backstop — same capital, no risk weights.
3%T1 / LREM
  • G-SII add-on = 50% × G-SII buffer; leverage MDA applies to it.
  • LREM: on-balance + SA-CCR-based derivatives + SFT add-on + CCF-weighted off-balance (min 10%).

Large exposures

Art 387–403 CRR
Concentration limits — a cap per name, not a risk weight; and "name" is defined widely.
Single client / group of connected clients25% Tier 1
G-SII exposure to another G-SII15% Tier 1
Large-exposure definition & reporting threshold≥ 10% Tier 1
Group of connected clients (GCC)
  • Control: clients linked by a control relationship (parent–subsidiary, dominant influence) form one risk regardless of sector.
  • Economic interdependency: clients so linked that the failure of one would likely cause funding or repayment difficulties for the other (single dominant customer, common funding source, guarantees) — grouped even without ownership links (EBA GL on connected clients).
  • Look-through of funds, securitisations and other structures to underlying obligors; unknown underlyings pool into a single "unknown client".
Further requirements
  • Exemptions (fully or partly): sovereign exposures, intragroup with waiver, covered bonds (discretion), qualifying CCP trade exposures.
  • Trading book: the limit may be exceeded only there, against a dedicated own-funds add-on that escalates with the excess.
  • CRM substitution: protected amounts shift to the protection provider — concentration in guarantors is monitored too.
  • Reporting: all large exposures, the 10 largest to institutions and the 10 largest to shadow-banking entities; internal limits on aggregate shadow-banking exposure per EBA guidelines.
02

Output floor — the binding aggregation rule

Art 92(3)–(7) · Art 465 CRR — applied before every requirement expressed in % of TREA

Mechanism

single stack
Internal models may lower RWA — but never below a fixed share of the standardised answer.
TREA = max( U-TREA , x% × S-TREA )
  1. Compute U-TREA — total RWA using all approved internal approaches (IRB, IMM, SA-CVA, A-IMA).
  2. Compute S-TREA — the same book, all-standardised: SA-CR, SA-CCR, BA-/SA-CVA, SMA, standardised market risk.
  3. Apply the floor percentage x — x is the transitional floor factor set by Art 465(1): 50% in 2025, rising one step per year (55% today) to its permanent level of 72.5% from 2030. Whichever of U-TREA and x%·S-TREA is higher becomes the institution's TREA.
  4. Use the floored TREA everywhere — it is the denominator of every requirement expressed in % of TREA: Pillar 1 minima, P2R, the combined buffer and the risk-based MREL/TLAC leg. Application at each level of consolidation, with a member-state discretion to apply it only at the highest level within a member state.
Worked example — when does the floor bite? IRB mortgage bank: U-TREA = €60bn, S-TREA = €100bn.
2026: TREA = max(60, 55% × 100) = max(60, 55) = €60bn — internal models still bind.
2030: TREA = max(60, 72.5) = €72.5bn — the floor binds: +21% RWA, with every ratio, buffer and MREL requirement scaling up with it.

The lower a bank's model RWA relative to standardised, the earlier in the phase-in this switch happens.

Phase-in & cap

Art 465(1)–(2)
Five annual steps to steady state — the 55% step is the one in force today.
72.5%steady state 2030
55%in force · 2026
50%2025
55%2026 ◀
60%2027
65%2028
70%2029
72.5%2030→
  • Transitional cap: floored TREA ≤ 1.25 × unfloored during phase-in (member-state discretion).
  • Supervisors avoid double-counting floored risks in P2R/SyRB; P2R nominal freeze on floor step-ups pending SREP review.

Transitional S-TREA calibrations

Art 465(3)–(5) · to 31·12·2032
Softer standardised inputs — for the floor calculation only — with a hard expiry.
DiscretionFloor-only calibration
Low-risk residential mortgages (NL a.o., strict loss criteria)10% ≤ 55% of value · 45% remainder
Unrated corporates, own-estimate PD ≤ 0.5%65% RW
SEC-SA in the floorp halved → 0.5 · STS 0.25

Cliff: all three lapse end-2032 unless extended by legislation — a low-risk mortgage book's S-TREA roughly doubles overnight in 2033.

03

Credit risk

Exposure value → RWA under SA → RWA under IRB → CCP exposures — Art 111–191, 271–285, 300–311 CRR
03 · A — Determining the exposure value

Exposure value & CRM

Art 111 · 166 · 192–241 · 271–285
Turns every asset, commitment and derivative into the euro amount the risk weights apply to.
  1. On-balance sheet — accounting value net of specific credit risk adjustments.
  2. Off-balance sheet — nominal × CCF:
    Unconditionally cancellable commitments10% PHASED · Art 495d
    Other commitments (any maturity)40%
    Transaction-related contingents · NIFs/RUFs50%
    Short-term self-liquidating trade LCs20%
    Direct credit substitutes, guarantees100%
  3. Derivatives → SA-CCR (the default counterparty credit risk method):
    EAD = α × (RC + PFE) · α = 1.4
    PFE = mult × AddOnagg · mult = min(1, 0.05 + 0.95·e(V−C)/(1.9·AddOnagg))
    EAD exposure at default per netting set · α supervisory scalar 1.4 · RC replacement cost (what it costs to replace the trades today) · PFE potential future exposure (how much worse it could get) · V current market value of the trades · C net collateral held · mult multiplier recognising over-collateralisation / negative value · AddOnagg aggregate add-on across asset-class hedging sets
    Supervisory factorSF
    Interest rate0.5%
    FX4.0%
    Credit (single-name, by rating)0.38–6.0%
    Equity — single / index32% / 20%
    Commodity — other / electricity18% / 40%
    RC unmargined = max(V−C, 0); margined = max(V−C, TH+MTA−NICA, 0), where TH = margin threshold, MTA = minimum transfer amount, NICA = net independent collateral amount. Add-ons are built per asset-class hedging set from adjusted notionals × supervisory delta (δ) × maturity factor (MF) × supervisory factor (SF).

    Worked examples → section detail ⧉.

  4. Method hierarchy — all three standardised methods share the same skeleton, EAD = α × (RC + PFE); they differ in how finely PFE is measured:
    Method (eligibility by derivative business)Calculation
    SA-CCR — defaultFull mechanics above: deltas, hedging sets, margin recognition, multiplier
    Simplified SA-CCR — ≤ 10% of assets & ≤ €300msame formula · mult = 1 · coarse add-ons, no supervisory deltas or margin refinement
    Original exposure method (OEM) — ≤ 5% & ≤ €100mEAD = 1.4 × (max(V,0) + N × supervisory % by asset class & maturity)
    IMM — internal model, approvalEAD = α × effective EPE (expected positive exposure) · SA-CCR shadow still required for S-TREA
    N notional · V market value · EPE model-based expected positive exposure. Simpler methods trade risk sensitivity for operational cost — proportionality for small derivative books.
  5. Result & hand-over — the output of this panel is one number per facility or netting set: the exposure value E. Two things can still change it before capital is computed: eligible collateral reduces E itself (comprehensive method, E*), and eligible guarantees replace whose risk weight applies. Both live in the CRM panel to the right; the mitigated exposure then flows into risk weighting under SA or IRB (group 03·B below).

Credit risk mitigation

Art 192–241 CRR
Two families: collateral you can seize (funded) and promises you can enforce (unfunded).
  1. Classify the protection —
    Funded
    • Financial collateral (cash, debt, equities, gold, CIU units)
    • Receivables · immovable property · other physical (IRB)
    • Netting — on-balance & master netting agreements
    Unfunded
    • Guarantees
    • Credit derivatives (CDS, TRS; no restructuring clause → 40% haircut on protection)
    • Eligible providers: sovereigns, institutions, rated corporates a.o.
  2. Financial collateral — simple method (SA only): collateralised portion takes the collateral issuer's RW, floor 20% (0/10% for certain repo/sovereign cases).
  3. Financial collateral — comprehensive method:
    E* = max( 0 , E·(1+HE) − C·(1−HC−HFX) )
    E* exposure value after mitigation · E exposure value · C market value of collateral · HE haircut inflating the exposure (its value may rise) · HC haircut deflating the collateral (its value may fall) · HFX extra haircut where collateral and exposure are in different currencies
    Supervisory haircuts HC
    Debt collateral (by issuer / maturity / CQS)0.5–15%
    Main-index equities · gold20%
    Other listed equities30%
    Currency mismatch HFX8%
    Status under CRR3: own-estimate volatility adjustments are abolished — supervisory haircuts only. The supervisory volatility adjustments for master netting agreements (SFTs: repo, securities lending) remain in force: E* is computed on the net position with add-ons per security class and currency mismatch.
  4. LGD for funded credit protection (F-IRB, Art 230) — still in force under CRR3, recalibrated: for fully secured exposures (after haircuts) the supervisory LGD* replaces the unsecured 40%:
    CollateralFinancialReceivablesResi / comm. REOther physical
    LGD*0%10%10%15%
    Partially secured exposures split into a secured part at LGD* and an unsecured part at 40% (25% under A-IRB floors).
  5. Unfunded — substitution: the protected portion takes the protection provider's risk weight (SA) or PD/LGD (IRB); the uncovered remainder stays with the obligor. Adjust the recognised protection amount for mismatches:
    maturity: GA = G × (t − 0.25)/(T − 0.25) · currency: G* = G × (1 − HFX)
    G nominal protection amount · GA / G* recognised amount after adjustment · t residual maturity of the protection (years) · T residual maturity of the exposure, both capped at 5y · HFX 8% currency-mismatch haircut. Protection with t < 3 months, or t < T for exposures where that matters, is not recognised.
  6. IRB interaction — F-IRB: collateral lowers supervisory LGD (secured LGD* by collateral type); A-IRB: own LGD estimates, subject to the 03·B floors.
03 · B — Determining risk-weighted assets

RWA under the Standardised Approach

Art 111–141 CRR
Fixed risk weights from tables — the calibration every bank now shadow-runs for the floor.
  1. Assign exposure class — sovereign · institution · corporate (incl. specialised) · retail · real estate · equity · subordinated · defaulted · other.
  2. Rated? Apply ECRA grid (due diligence may only raise the RW):
    CQS →123456Unrated
    Sovereigns0%20%50%100%100%150%100%¹
    Institutions20%30%50%100%100%150%SCRA ↓
    — short-term ≤ 3m20%20%20%50%50%150%—
    Corporates20%50%75%100%150%150%100%²
    Covered bonds10%20%20%50%50%100%derived
    ¹ EU member states in domestic currency 0%. ² SME corporate 85%; 65% investment-grade via floor transitional; EU SME & infrastructure supporting factors on top.
  3. Unrated institution? Grade under SCRA:
    GradeA+ / ABC
    Base RW30% / 40%75%150%
    Short-term ≤ 3m20%50%150%
    A = minima + buffers met (A+ if CET1 ≥ 14% & LR ≥ 5%); B = minima only; C = breach or audit doubt.
  4. Retail & specialised classes:
    Regulatory retail (granular, ≤ €1m)75%
    — transactors (cards/charge, fully repaid)45%
    Specialised lending — project (pre-op / op / high-quality)130% / 100% / 80%
    — object & commodities finance100%
    Subordinated debt / TLAC-eligible150%
    Equity — standard / speculative unlisted TO 2030250% / 400%
    — long-term strategic (discretion)100%
    Defaulted (unsecured, provisions < 20% / else)150% / 100%
  5. Real estate — completed, enforceable, ETV at origination (upward revaluation constrained):
    Residential, general — loan-splitting20% ≤ 55% of value · rest cpty RW
    Residential IPRE — whole loan, ETV ≤50/60/80/90/100/>10030% · 35% · 45% · 60% · 75% · 105%
    Commercial, general — split ≤ 55% of valuemin(60%, cpty) · rest cpty
    Commercial IPRE — ETV ≤60/80/>8070% · 90% · 110%
    ADC150% · 100% pre-sold resi

    Worked examples → section detail ⧉.

  6. Apply CRM substitution → RWA = RW × exposure value; supporting factors where applicable.

RWA under the IRB Approach (constrained)

Art 142–191 CRR
Own PD/LGD estimates inside a supervisory formula — with floors under every input.
5bpPD floor
25%LGD unsec. corp
×1.06scalar deleted
  1. Check scope:
    ClassA-IRBF-IRBSA
    Large corporates (rev > €500m)✕✓✓
    Other corporates✓✓✓
    Institutions & other financials✕✓✓
    Retail (mortgages, QRRE, other)✓n/a¹✓
    Equity✕✕✓ only
    ¹ F-IRB does not exist for retail — retail IRB always uses own estimates of PD, LGD and CCF (A-IRB), or falls back to SA. Class-by-class adoption is permitted (partial use liberalised).
  2. Estimate parameters, apply input floors (A-IRB):
    PD — corporate & retail0.05% · QRRE revolver 0.10%
    LGD unsecured — corporate / other retail / QRRE25% / 30% / 50%
    LGD — residential mortgages5%
    LGD secured — fin / receivables / RE / other phys.0% / 10% / 10% / 15%
    EAD≥ on-bal + 50% × SA-CCF off-bal
    F-IRB: LGD senior unsecured 40% (was 45%), subordinated 75%; own CCFs only for revolving commitments; M = 2.5y (F-IRB) or effective 1–5y (A-IRB).
  3. Asset correlation R:
    Corporates0.12–0.24 by PD
    — SME size adjustment (S = revenue €5–50m)− 0.04·(1−(S−5)/45)
    — large (≥ €100bn assets) / unregulated financials× 1.25
    Residential mortgages / QRRE / other retail0.15 / 0.04 / 0.03–0.16
  4. Assemble the parameter blocks and run the risk-weight function (99.9% asymptotic single risk factor model):
    PD
    (floors, step 2)
    +
    LGD
    (floors / LGD*)
    +
    EAD
    (03·A, CCF)
    +
    M
    ▶
    R (step 3)
    ▶
    K → RWA = 12.5 × K × EAD
    K = [ LGD·N( (N−1(PD) + √R·N−1(0.999)) / √(1−R) ) − LGD·PD ] × MA
    MA = (1 + (M−2.5)·b)/(1 − 1.5·b) · b = (0.11852 − 0.05478·ln PD)²
    RWA = 12.5 × K × EAD
    K capital requirement per unit of exposure · PD probability of default (1y) · LGD loss given default · EAD exposure at default · R asset correlation (step 3) · N / N−1 standard normal CDF / its inverse · 0.999 the 99.9% confidence level · MA maturity adjustment · M effective maturity (years) · b smoothed maturity slope · 12.5 = 1/8% converts capital into RWA terms
    No maturity adjustment for retail. Defaulted assets: K = max(0, LGD − ELBE), i.e. capital covers only the uncertainty beyond the best-estimate expected loss ELBE.
  5. Specialised lending without PD estimates → supervisory slotting:
    CategoryStrongGoodSatisf.WeakDefault
    RW (M ≥ 2.5y)70%90%115%250%0%*
    RW (M < 2.5y)50%70%115%250%0%*
    *EL charge applies; categories mapped from supervisory criteria.
  6. Expected loss & provisions — EL = PD·LGD·EAD; shortfall (EL − eligible provisions) deducted from CET1; excess → T2 up to 0.6% of IRB RWA.
  7. Governance — rating-system standards, margin of conservatism, downturn LGD, annual validation; EBA IRB-repair guidelines baked into approvals.
03 · C — Special exposure types & adjustments

Collective investment undertakings

Art 132–132c · 104(7) CRR
Fund exposures are priced by transparency — and split by which book they sit in.
Banking book
  • Look-through (LTA): sufficient, verified (at least quarterly) information → risk-weight the underlying exposures as if held directly; fund leverage scales the result
  • Mandate-based (MBA): no look-through → assume the worst allocation the mandate permits, most punitive assets first
  • Fall-back (FBA): neither → 1250%
  • Third-party-computed LTA/MBA: results × 1.2
Trading book
  • Eligible only with daily price quotes and sufficient information (look-through or qualifying index tracking)
  • Capitalised in the FRTB engines (04): look-through into the SbM, or index treatment
  • Funds failing the criteria are mandatorily banking book (04, boundary)

Worked examples → section detail ⧉.

Also in Part 3, small but mandatory: settlement/delivery risk charges for unsettled transactions and free deliveries (Art 378–380).

RWA adjustments & multipliers

Art 123a · 501 · 501a CRR
EU-specific dials applied after the risk weight — down for policy, up for risk.
AdjustmentFactor
SME supporting factor (turnover ≤ €50m) — part ≤ €2.5m / above× 0.7619 / × 0.85
Infrastructure supporting factor (qualifying projects)× 0.75
Unhedged retail FX lending — currency ≠ income currency× 1.5 · RW cap 150%
  • What CRR3 changed: the SME and infrastructure supporting factors are carried over unchanged from CRR2 (retained against EBA advice); the ×1.5 multiplier on unhedged retail FX lending is new in CRR3 (Art 123a).
  • Supporting factors are EU deviations from Basel; they apply in both U-TREA and S-TREA, so they survive the output floor.
  • Specific provisions reduce the exposure before weighting; the defaulted-asset RW then applies to the net amount.

CCP exposures

Art 300–311 CRR
Cleared trades get concessionary weights — if the CCP qualifies.
2%QCCP trade RW
  1. Qualifying CCP? — authorised/recognised under EMIR → concessionary regime; else bilateral treatment.
  2. Trade exposures (incl. posted initial margin, bankruptcy-remote rules apply):
    Clearing member → QCCP2%
    Client via member (conditions met / partial)2% / 4%
    Non-QCCPbilateral SA
  3. Default fund contributions — QCCP: capital from the CCP's hypothetical capital KCCP (SA-CCR-based), allocated pro-rata to prefunded contributions; non-QCCP: 1250%.
  4. Cap — total charge for a QCCP relationship ≤ the bilateral-treatment equivalent.

Worked examples → section detail ⧉.

04

Market risk — FRTB OWN FUNDS FROM 01·01·2027

Trading-book boundary → SSA · A-SA · A-IMA — Pt 3 Tit IV, Art 94, 104–106, 325 ff CRR

Trading-book definition & approach choice

Art 94 · 104–106 · 325a
First decide what is trading; then let size decide which engine capitalises it.
  1. Classify positions — by presumptive list, not intent:
    Banking book — mandatory
    • Unlisted equities
    • Real estate holdings
    • Retail & SME credit
    • Funds without look-through or daily prices
    • Securitisation warehousing instruments
    • Derivatives & hedges of the above
    Trading book — mandatory
    • Held-for-trading assets & liabilities
    • Market-making positions
    • Underwriting commitments
    • Listed equities
    • Trading-related SFTs
    • Correlation trading portfolio
    Derogations — approval
    • Listed equity held without trading intent → banking book
    • Other deviations from the presumptive lists with documented evidence
    • Supervisor may compel reallocation
  2. Lock the boundary — reclassification only in exceptional circumstances, with approval and a capital surcharge preventing benefit; internal risk transfers only via dedicated IRT desks (GIRR) or eligible external hedging.
  3. Select the approach by size:
    Test (trading + FX/commodity business)Outcome
    ≤ 5% of assets & ≤ €50m (Art 94)banking-book treatment
    ≤ 10% of assets & ≤ €500m (Art 325a)Simplified SA eligible
    Above · dealer profileA-SA default · A-IMA per desk (approval)
  4. Simplified SA — the familiar CRR2 standardised charges, multiplied up per risk class:
    ClassIREQFXCOM
    Scalar× 1.3× 3.5× 1.2× 1.9
    The scalars compensate for keeping the old, less risk-sensitive method: they lift CRR2 charges roughly to FRTB levels. IR interest rate · EQ equity · FX foreign exchange · COM commodities.

    Worked examples → section detail ⧉.

EU status: CRR2 market risk applies for own funds until 01·01·2027 (FRTB reporting continues). EBA no-action: boundary/IRT not supervisory priorities before then. 3rd Delegated Act (in scrutiny): optional overall multiplier (Art 495v) toward CRR2-IMA levels for adversely affected banks + operational relief, 2027–29.

Alternative Standardised Approach (A-SA)

Art 325c–325ay
Price sensitivities × supervisory shocks — a model-shaped calculation with no model approval.
Own funds = SbM + DRC + RRAO
  1. Sensitivities-based method — delta, vega, curvature per risk class (GIRR, CSR non-sec, CSR sec CTP/non-CTP, equity, commodity, FX).
  2. Weight: WSk = RWk × sk per prescribed bucket weights (GIRR by tenor; equity by market cap & economy; FX 15%, √2 divisor for liquid pairs).
    sk sensitivity of the portfolio to risk factor k (e.g. PV change per 1bp rate move, or the market value of a cash equity) · RWk supervisory risk weight of that factor's bucket · WSk weighted sensitivity — the loss assumed if the supervisory shock hits factor k
  3. Aggregate within bucket:
    Kb = √( max(0, Σ WSk² + Σk≠l ρkl·WSk·WSl) )
  4. Aggregate across buckets with cross-bucket correlations γbc; run the whole calculation under three correlation scenarios (all ρ, γ × 1.00 / 1.25 / 0.75, capped at 1) and take the highest — hedges are not fully trusted in either calm or stressed correlation regimes. Curvature repeats the exercise with full stressed up/down shifts (CVR = worst-of loss beyond delta), aggregated analogously.
    ρkl correlation between factors within a bucket · γbc correlation between buckets b, c · Kb bucket-level capital · CVR curvature risk measure (non-linear loss)
  5. Default risk charge — gross JTD = f(notional, LGD, P&L) → net by obligor & seniority → hedge-benefit ratio limits offsetting → RW by band:
    AAAAAABBBBBBCCCNRDflt
    0.5%2%3%6%15%30%50%15%100%
    Securitisation DRC separately (CTP / non-CTP, no cross-offsetting).
  6. Residual risk add-on — gross notionals × 1.0% (exotic underlyings: longevity, weather, natural catastrophe) or × 0.1% (other residual risks: gap, correlation, behavioural). A blunt charge for what sensitivities cannot see.

Alternative Internal Model Approach (A-IMA)

Art 325az–325bp
Desk-by-desk permission to model — kept only by passing statistical tests every quarter.
97.5%ES confidence
≥1.5mc
  1. Nominate trading desks — strategy, risk management, independent P&L per desk.
  2. Pass the gateways per desk:
    Backtesting (desk & top-of-house)97.5% & 99% VaR exceptions · traffic-light multiplier
    P&L attribution (RTPL vs HPL)Spearman + KS · green / amber (surcharge) / red (→ A-SA)
    Nominate desk
    ▶
    Backtesting
    ▶
    PLAT
    ▶
    Green: IMA
    /
    Amber: IMA + surcharge
    /
    Red: back to A-SA
    Quarterly re-testing — desk eligibility is earned continuously, never granted permanently.
  3. Risk-factor eligibility (RFET) — ≥ 24 real-price observations in 12 months (gap conditions) or ≥ 100; fail → NMRF.
  4. Expected shortfall — 97.5% ES, stressed calibration, scaled across liquidity horizons:
    LH (days)10204060120
    e.g.IR/FX major, lg-cap eqother IR/eq, energyIG spreadHY spread, sm eq volstructural/other
  5. NMRF — stress-scenario capital (SES) per non-modellable factor, extreme shocks, limited diversification.
  6. Default risk charge (IMA) — VaR 99.9%, 1-year, two-factor systematic model, PD floors as IRB.
  7. Aggregate:
    OF = max( IMCClast + SESlast , mc × IMCCavg,60d + SESavg,60d ) + DRC
    mc ≥ 1.5 + backtesting add-on (0–0.5) · + amber-desk surcharge · + A-SA for ineligible desks
    OF own funds requirement · IMCC aggregated ES-based charge on modellable risk factors (constrained diversification: weighted mix of full and per-class ES) · SES summed stress-scenario capital for NMRFs · DRC internal default risk charge · mc multiplier: 1.5 base, up to +0.5 for backtesting exceptions

    Worked examples → section detail ⧉.

05

CVA risk

Own funds for credit valuation adjustment risk — Art 381–386 CRR · internal-model CVA abolished

Scope & approach selection

Art 382–383
Capitalises the mark-to-market loss when a derivative counterparty's spread widens.
0.65DS discount BA-CVA
1.0mCVA SA-CVA
  1. Determine scope — OTC derivatives and fair-valued SFTs, minus EU exemptions (retained): non-financials below the clearing threshold, sovereigns, intragroup, pension scheme arrangements. Exempted trades must still be reported.
  2. Select approach:
    ApproachCondition
    Simplified: CVA OF = CCR OFOEM-eligible (≤ 5% / €100m)
    BA-CVA — reduced or fulldefault
    SA-CVAapproval · regulatory CVA model + sensitivities

Choice is strategic: BA-CVA punishes unhedged directionality; SA-CVA rewards a genuine CVA desk with model and data investment.

BA-CVA — calculation

Art 384
A closed-form charge from EAD, maturity and a sector risk weight — no sensitivities needed.
  1. Per counterparty:
    SCVAc = (1/α) · RWc · ΣNS M·EAD·DF · α = 1.4
    DF = (1−e−0.05M)/(0.05M) · DF = 1 for IMM netting sets
    SCVAc standalone CVA capital for counterparty c · α the SA-CCR scalar, divided back out so it is not charged twice · RWc supervisory weight for the counterparty's sector & quality (table below) · NS netting sets with c · M effective maturity (years) · EAD the netting set's SA-CCR exposure (03·A) · DF supervisory discount factor
    Counterparty sectorIGHY / NR
    Sovereigns, central banks, MDBs0.5%2.0%
    Local govt · govt-backed non-fin · education · public admin1.0%4.0%
    Financials (incl. govt-backed)5.0%12.0%
    Basic materials · energy · industrials · agri3.0%7.0%
    Consumer goods/services · transport3.0%8.5%
    Technology · telecoms2.0%5.5%
    Health care · utilities · professional services1.5%5.0%
    Other5.0%12.0%
  2. Aggregate (reduced — no hedges):
    Kred = √( (ρ·ΣcSCVAc)² + (1−ρ²)·ΣcSCVAc² ) · ρ = 50%
    ρ = 50% assumed correlation between counterparties' credit spreads: the first term is the systematic move-together component, the second the idiosyncratic part. With a single counterparty the formula collapses to Kred = SCVA.
  3. Hedged (full) version — recognise eligible single-name CDS (SNH), index CDS (IH) and a misallocation penalty (HMA):
    Khedged = √( (ρ·Σc(SCVAc−SNHc) − IH)² + (1−ρ²)·Σc(SCVAc−SNHc)² + ΣcHMAc )
    Single-name hedge correlation rhc
    References the counterparty directly100%
    Legally related entity80%
    Same sector & region50%
  4. Combine & discount:
    KBA-CVA = DS × ( β·Kred + (1−β)·Khedged ) · β = 0.25 · DS = 0.65
    β = 0.25 floors hedge recognition — at least a quarter of the unhedged charge always survives, however good the hedges · DS = 0.65 overall discount scalar from the 2020 Basel recalibration, carried into CRR3
    Worked example — reduced BA-CVA, one counterparty Unhedged book, one investment-grade financial counterparty: EAD = €20m (SA-CCR, 03·A), M = 4y, RWc = 5.0%.
    DF = (1−e^(−0.05×4))/(0.05×4) = 0.906 · SCVA = (1/1.4) × 5.0% × 4 × 20 × 0.906 = €2.59m
    One counterparty → Kred = 2.59 · no hedges → Khedged = Kred
    KBA-CVA = 0.65 × 2.59 = €1.68m own funds (RWA-equivalent ≈ €21m) — a 4y single-name CDS on the counterparty would remove up to 75% of it (β floor).

SA-CVA — calculation

Art 383–383b
FRTB-style sensitivities on a regulatory CVA model — approval required, hedges rewarded.
  1. Regulatory CVA model — exposure model producing CVA and its sensitivities; soundness, governance and validation requirements.
  2. Compute delta + vega sensitivities (no curvature, no DRC, no RRAO) across six risk classes:
    1 Counterparty credit spreadsthe CVA-specific class
    2 Reference credit spreadsexposure-side
    3 Interest rate · 4 FX · 5 Equity · 6 Commodityexposure-side
  3. Weight & aggregate — SbM-style bucket and cross-bucket correlations at reduced granularity; eligible hedges (incl. market-risk hedges of the exposure component) enter with sign.
  4. Multiply:
    OF = mCVA × Σrisk classes K · mCVA = 1

Legacy note: the mCVA multiplier was reduced from 1.25 to 1 and the BA-CVA DS = 0.65 introduced in the 2020 Basel targeted revisions — both carried into CRR3. Numbers quoted from pre-2020 impact studies overstate CVA charges.

06

Operational risk

Single standardised measurement approach — Art 312–324 CRR · AMA / TSA / BIA abolished

Calculation

Art 313–315
Capital as a stepped share of income — the bigger the business indicator, the steeper the marginal rate.
12·15·18%bucket coefficients
ILM=1EU fixed
  1. Business indicator (3-year averages):
    BI = ILDC + SC + FC
    ILDC = min(|II − IE|, 2.25%·IEA) + dividends · SC = max(OI, OE) + max(FI, FE) · FC = |P&LTB| + |P&LBB|
    BI business indicator — an income-statement proxy for operational scale · ILDC interest, lease & dividend component: II / IE interest income / expense, capped at 2.25% of IEA interest-earning assets · SC services component: OI / OE other operating income / expense, FI / FE fee income / expense — taken as max, not net · FC financial component: absolute net trading- and banking-book P&L. All three-year averages.
  2. Business indicator component — marginal buckets:
    BI ≤ €1bn12%
    €1bn < BI ≤ €30bn15%
    BI > €30bn18%
  3. Apply the multiplier: ORC = BIC × ILM, ILM = 1 — historic losses do not scale the charge in the EU.

Worked examples → section detail ⧉.

Loss data regime

Art 316–323
Losses no longer drive capital — but must still be collected, governed and disclosed.
  • Mandatory loss data set where BI ≥ €750m: events ≥ €20,000, ten-year history, annual disclosure of net losses ≥ €100,000.
  • Exclusion of divested activities / merger adjustments with supervisory permission.
  • Governance: op-risk framework, ICT & outsourcing risk aligned with DORA; loss-register completeness is an audit topic, not a modelling one.

Consequences

design intent
What the switch from models to income actually changes.
  • Capital is a function of income size, not loss history — fee-rich models (custody, payments, asset servicing) structurally penalised vs former AMA outcomes.
  • Marginal design: BI growth compounds at 15→18% for the largest.
  • ILM = 1 is an EU deviation — Basel permits loss sensitivity; the EU chose comparability over risk sensitivity.
07

Securitisation · crypto-assets · calendar

Pt 3 Ch 5 · Art 501d CRR · Securitisation Regulation (STS) — funds moved to 03·C

Securitisation — hierarchy & steps

Art 254 ff
Tranche capital interpolated from pool capital — steeper the closer you sit to first loss.
15/10%senior RW floor / STS
p 1.0/0.5SEC-SA / STS
  1. Choose the approach (hierarchy): SEC-IRBA if KIRB computable → SEC-SA (EU preference) / SEC-ERBA / IAA where applicable → else 1250%.
  2. Compute pool capital: KIRB (IRB pool) or
    KA = (1−W)·KSA + W·0.5 · W = delinquent share
    KSA capital ratio of the underlying pool under SA (avg RW × 8%) · KIRB same under IRB, incl. expected loss · W share of the pool that is delinquent — delinquents assumed to need 50% capital · KA the blended pool capital anchor
  3. Set supervisory p — SEC-IRBA: formula on N, LGD, tranche maturity (min 0.3) · SEC-SA: p = 1.0, STS 0.5 · resecuritisation: SEC-SA only, p = 1.5.
  4. Apply the SSFA-type formula between attachment A and detachment D: tranches with D ≤ KA → 1250%; tranches above KA → supervisory exponential decaying over p·KA; straddling → thickness-weighted blend. SEC-ERBA where used: RW = f(CQS, seniority, maturity interpolated 1–5y, tranche thickness) — from 15% senior CQS1 up to 1250% at the bottom of the scale (grids: Art 263).
    A attachment point — losses (as % of pool) at which the tranche starts absorbing · D detachment point — where it is wiped out · p supervisory parameter spreading capital up the structure: higher p = more capital pushed into senior tranches

    Worked examples → section detail ⧉.

  5. Apply floors & caps:
    RW floor — senior / STS senior15% / 10%
    Resecuritisation floor100%
    Overall cap≤ K of underlying pool (senior look-through)
    Output-floor S-TREA TRANSSEC-SA p halved: 0.5 · STS 0.25
  6. SRT assessment — significant risk transfer tests (mezzanine/first-loss) unchanged in principle; EBA SRT framework under review.

Crypto-assets

Art 501d TRANS
A bridge regime: traditional-in-token-form gets normal weights, everything else near-deduction.
CategoryTreatment
Tokenised traditional assetsas underlying
ARTs backed by traditional assets250%
Other (incl. unbacked)1250% + exposure limit
  • Pending permanent BCBS SCO60-based implementation; MiCA governs issuance/conduct; aggregate exposure limits and disclosure apply.

Worked examples → section detail ⧉.

Parameter calendar

what changes when
Every date on this chart that moves a number, in one table.
DateChange
01·01·2027Floor x → 60% · FRTB own funds apply (Art 495v multiplier option to end-2029) · CRD6 third-country branch regime
01·01·2028x → 65%
01·01·2029x → 70%
01·01·2030x → 72.5% steady state · equity RW phase-in complete · FRTB multiplier expires
31·12·2032Floor transitionals lapse: mortgage 10/45% split · unrated-corporate 65% · halved p-factors
08

Supervision, disclosure & Pillar 2 NOT PART OF TREA

SREP · P2R/P2G · IRRBB · Pillar 3 — how the framework is enforced, steered and made public

SREP & the full capital stack

Art 97–104b CRD · EBA SREP GL
Supervision turns the rulebook into a firm-specific number — and stacks it into a tower.
  1. Four assessment blocks, scored 1–4: business model viability · internal governance & risk management · risks to capital (vs ICAAP) · risks to liquidity (vs ILAAP).
  2. Set P2R — binding, for risks not (fully) in Pillar 1; same tiering as minima (≥ 56.25% CET1). Floored risks stripped out to avoid double-counting.
  3. Set P2G — sized from EU-wide stress-test depletion; sits on top of everything, CET1-quality expectation; breach → supervisory dialogue, not automatic MDA.
The stack, bottom to top
P2G guidance · CET1 · stress-test sized
Combined buffer CCoB 2.5% + CCyB + G/O-SII + SyRB · MDA trigger
P2R firm-specific · binding · ≥56.25% CET1
Tier 2 2.0%
Additional Tier 1 1.5%
CET1 minimum 4.5% — Pillar 1 total 8.0%

Worked examples → section detail ⧉.

Every layer is a % of the floored TREA (02) — which is how the output floor quietly raises the whole tower, not just the minimum.

IRRBB — supervisory outlier tests

Art 84, 98 CRD · EBA RTS/GL
Banking-book rate risk is capitalised through supervision, not Pillar 1 — but the thresholds are hard numbers.
15%ΔEVE / Tier 1
5%ΔNII / Tier 1
  1. EVE SOT — run six supervisory rate scenarios (parallel ±, steepener, flattener, short-rate ±) with prescribed currency-specific shocks and a post-shock floor rising from −150bp; decline in economic value of equity > 15% of Tier 1 → supervisory outlier.
  2. NII SOT — two parallel scenarios, one-year horizon, constant balance sheet; large decline in net interest income (> 5% of Tier 1 per EBA RTS) → outlier.
  3. Consequence — outlier status triggers supervisory scrutiny and typically P2R/P2G measures or hedging expectations; CSRBB assessed qualitatively alongside.

Worked examples → section detail ⧉.

Pillar 3 — disclosure

Art 431–455 CRR
The market-discipline leg: what must be published, how often, by whom.
Institution classFrequency
Large — listedannual full · semi-annual subset · quarterly key metrics
Large — non-listedannual full · semi-annual subset
Other — listed / non-listedannual full · key metrics semi-annual / annual
Small & non-complex (SNCI)annual key metrics only
  • Content set (EBA ITS): own funds & ratios, RWEA by risk type, output-floor split (U-TREA vs S-TREA — new under CRR3), leverage, liquidity, credit quality & forbearance, remuneration.
  • ESG disclosure for all institutions, proportionate by size — transition & physical risk, taxonomy alignment (GAR), scope 3 phased.
  • EBA Pillar 3 data hub centralises publication — disclosures filed to EBA and published centrally, replacing scattered PDFs; SNCIs first.
  • ESG risks also enter SREP scoring and transition-plan review (CRD6) — supervision leads, Pillar 1 treatment still absent.
09

Common terms — by section

the abbreviations this chart assumes, grouped where they first appear
01 · Capital
TREA
— total risk exposure amount: the RWA total all ratios divide by.
CET1 / AT1 / T2
— capital tiers by loss-absorbing quality.
P2R / P2G
— Pillar 2 requirement (binding) / guidance (expected).
MDA
— maximum distributable amount: payout cap on buffer breach.
AVA
— additional valuation adjustment (prudent valuation, CET1 deduction).
OCI
— other comprehensive income.
LREM
— leverage ratio exposure measure.
TLAC / MREL
— gone-concern loss-absorbing capacity (global / EU firm-specific).
CCoB / CCyB
— capital conservation / countercyclical buffer.
G-SII / O-SII
— global / other systemically important institution (buffers).
SyRB / CBR
— systemic risk buffer / combined buffer requirement (the four together).
DTA / DTL
— deferred tax asset / liability.
02 · Floor
U-TREA
— TREA using approved internal approaches.
S-TREA
— the same book on all-standardised approaches.
x
— transitional floor factor (Art 465(1)): 50% → 72.5% by 2030; 55% in 2026.
Phase-in cap
— optional limit: floored TREA ≤ 1.25 × unfloored during transition.
03 · Credit
EAD
— exposure at default: the amount at risk when default happens.
CCF
— credit conversion factor: how much of an undrawn line counts as drawn.
CRM
— credit risk mitigation (collateral, guarantees).
RC / PFE
— replacement cost / potential future exposure (SA-CCR).
TH · MTA · NICA
— margin threshold, minimum transfer amount, net independent collateral.
V / C
— market value of the netting set / collateral held (SA-CCR).
SD · δ · MF · SF
— supervisory duration, delta, maturity factor, supervisory factor (SA-CCR add-ons).
OEM / EPE
— original exposure method / expected positive exposure (IMM).
SFT
— securities financing transaction (repo, securities lending).
LGD*
— supervisory LGD for collateralised F-IRB exposures.
GCC
— group of connected clients (control or economic interdependency).
ECRA / SCRA
— external ratings approach / standardised grading of unrated banks.
CQS
— credit quality step (1 = best) mapped from ratings.
ETV
— exposure-to-value at origination.
IPRE / ADC
— income-producing real estate / land acquisition–development–construction.
PD / LGD / M
— probability of default, loss given default, effective maturity.
QRRE
— qualifying revolving retail exposures (cards).
R
— asset correlation in the IRB formula.
EL / ELBE
— expected loss / best-estimate EL on defaulted assets.
Slotting
— supervisory categories replacing PD estimates for specialised lending.
QCCP
— qualifying central counterparty (EMIR-authorised/recognised).
04 · Market
SbM
— sensitivities-based method.
WS
— weighted sensitivity (RW × s).
DRC / JTD
— default risk charge / jump-to-default amount.
RRAO
— residual risk add-on.
ES / LH
— expected shortfall / liquidity horizon.
RFET / NMRF
— risk-factor eligibility test / non-modellable risk factor.
SES
— stress-scenario capital for NMRFs.
IMCC
— internally modelled capital charge (modellable factors).
RTPL / HPL
— risk-theoretical vs hypothetical P&L (attribution test).
mc
— IMA multiplier, ≥ 1.5 plus backtesting add-on.
GIRR / CSR
— general interest rate risk / credit spread risk classes.
sk / RWk / Kb
— sensitivity, its supervisory weight, bucket capital (SbM).
ρ / γ
— intra-bucket / cross-bucket supervisory correlations.
CVR
— curvature risk measure: stressed non-linear loss beyond delta.
05 · CVA
CVA
— credit valuation adjustment: expected loss from counterparty spread risk.
SCVA
— standalone CVA capital per counterparty (BA-CVA).
DF
— supervisory discount factor on maturity.
SNH / IH / HMA
— single-name hedge, index hedge, hedging misallocation penalty.
β
— 0.25 floor on hedge recognition.
DS
— 0.65 discount scalar on the BA-CVA charge (2020 recalibration).
mCVA
— SA-CVA multiplier, set at 1.
06 · Operational
BI / BIC
— business indicator / its coefficient-weighted component.
ILDC · SC · FC
— interest-lease-dividend, services, financial components of BI.
IEA
— interest-earning assets (caps ILDC at 2.25%).
II / IE · OI / OE · FI / FE
— interest, other operating, and fee income / expense pairs in the BI.
ORC
— operational risk capital requirement (= BIC in the EU).
ILM
— internal loss multiplier; EU fixes it at 1.
07 · Securitisation · funds
KIRB / KSA / KA
— pool capital under IRB / SA / delinquency-adjusted SA.
W
— share of delinquent underlying exposures.
p
— supervisory thickness parameter spreading capital up the structure.
A / D
— tranche attachment / detachment points.
SRT
— significant risk transfer.
STS
— simple, transparent, standardised label.
LTA / MBA / FBA
— look-through / mandate-based / fall-back fund approaches.
ART
— asset-referenced token (MiCA).
CIU
— collective investment undertaking (fund).
08 · Pillar 2
EVE
— economic value of equity: PV of banking-book assets minus liabilities.
NII
— net interest income.
SOT
— supervisory outlier test.
CSRBB
— credit spread risk in the banking book.
SREP
— supervisory review and evaluation process.
ICAAP / ILAAP
— internal capital / liquidity adequacy assessment processes.
SNCI
— small & non-complex institution (≤ €5bn a.o. criteria).
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