Corporate Exposures¶
Corporate exposures are claims on companies that do not qualify as sovereigns, institutions, or retail. This includes large corporates, SMEs, and specialised lending.
Definition¶
Corporate exposures include:
| Entity Type | Description |
|---|---|
| Large corporates | Companies with turnover > EUR 50m |
| Corporate SMEs | Companies with turnover ≤ EUR 50m |
| Unincorporated businesses | Partnerships, sole traders (non-retail) |
| Non-profit organisations | Charities, associations |
| Special purpose vehicles | SPVs not qualifying as specialised lending |
SME Definition¶
An entity qualifies as an SME if:
| Criterion | Threshold (EUR) | Threshold (GBP @ 0.88) |
|---|---|---|
| Annual turnover | ≤ EUR 50m | ≤ GBP 44m |
| OR Total assets | ≤ EUR 43m | ≤ GBP 37.84m |
def is_sme(counterparty):
return (
counterparty.annual_turnover <= 50_000_000 or # EUR
counterparty.total_assets <= 43_000_000 # EUR
)
Risk Weights (SA)¶
Corporate risk weights range from 20% (CQS 1) to 150% (CQS 6), with 100% for unrated. Basel 3.1 reduces CQS 3 from 100% to 75%. PRA PS1/26 Art. 122(2) Table 6 retains CQS 5 at 150% (BCBS CRE20.42 reduced to 100%, but the PRA did not adopt this reduction). Basel 3.1 also introduces new sub-categories: investment grade (65%) and SME corporate (85%).
Basel 3.1 additionally introduces a short-term corporate ECAI table (Art. 122(3), Table 6A) for exposures with a specific short-term credit assessment: CQS 1 = 20%, CQS 2 = 50%, CQS 3 = 100%, Others = 150%. CRR has no equivalent short-term corporate table. This feature is not yet implemented in the calculator.
Details: See Key Differences — Corporate for the complete CRR vs Basel 3.1 comparison, new sub-categories, and Table 6A.
IRB Treatment¶
F-IRB uses supervisory LGD (45% senior, 75% subordinated) with PD floors of 0.03% (CRR) / 0.05% (Basel 3.1). SME corporates (turnover €5m–€50m) benefit from a correlation reduction of up to 4 percentage points.
Large Corporate Restriction
Under Basel 3.1, corporates with consolidated revenues > EUR 500m (GBP 440m) are restricted to F-IRB only. A-IRB is no longer permitted for these exposures.
Details: See IRB Approach for the full formula, correlation, maturity adjustment, and SME size adjustment details.
SME Supporting Factor (CRR Only)¶
Eligible SME corporates (turnover ≤ EUR 50m, not in default) receive a tiered RWA reduction: 0.7619 for the first ~GBP 2.2m of exposure, 0.85 for the remainder. This factor is removed under Basel 3.1.
Details: See Supporting Factors for the full eligibility criteria, calculation formula, and worked examples.
Calculation Examples¶
Example 1: Rated Large Corporate (SA)¶
Exposure: - £75m term loan to Tesco PLC - Rating: BBB (CQS 3) - Undrawn commitment: £25m
Calculation:
# Drawn portion
EAD_drawn = £75,000,000
# Undrawn (50% CCF for committed facilities)
EAD_undrawn = £25,000,000 × 50% = £12,500,000
# Total EAD
EAD = £87,500,000
# Risk weight (CQS 3)
Risk_Weight = 75%
# RWA
RWA = £87,500,000 × 75% = £65,625,000
Example 2: SME with Supporting Factor (SA)¶
Exposure: - £8m loan to regional SME - Turnover: £30m (qualifies as SME) - Unrated (100% RW)
Calculation:
# Base RWA
EAD = £8,000,000
Base_RWA = £8,000,000 × 100% = £8,000,000
# SME factor (tiered)
threshold = £2,200,000
factor = (2,200,000 × 0.7619 + 5,800,000 × 0.85) / 8,000,000
factor = (1,676,180 + 4,930,000) / 8,000,000 = 0.826
# Adjusted RWA (CRR)
Adjusted_RWA = £8,000,000 × 0.826 = £6,606,400
# Basel 3.1 (no factor)
B31_RWA = £8,000,000
Example 3: Corporate IRB¶
Exposure: - £50m corporate loan - Bank PD estimate: 0.75% - F-IRB (LGD = 45%) - Maturity: 4 years - Turnover: £100m (no SME adjustment)
Calculation:
# Step 1: PD (above floor)
PD = 0.0075
# Step 2: Correlation
R = 0.12 × (1 - exp(-50 × 0.0075)) / (1 - exp(-50)) +
0.24 × (1 - (1 - exp(-50 × 0.0075)) / (1 - exp(-50)))
R = 0.12 × 0.313 + 0.24 × 0.687 = 0.202
# Step 3: K calculation
K ≈ 0.0445 # From IRB formula
# Step 4: Maturity adjustment
b = (0.11852 - 0.05478 × ln(0.0075))^2 = 0.149
MA = (1 + (4 - 2.5) × 0.149) / (1 - 1.5 × 0.149) = 1.29
# Step 5: RWA (CRR)
RWA_CRR = 0.0445 × 12.5 × £50,000,000 × 1.29 × 1.06
RWA_CRR = £38,107,313
# Basel 3.1 (no scaling)
RWA_B31 = £35,950,295
Example 4: SME Corporate IRB¶
Exposure: - £15m loan - PD: 1.5% - F-IRB (LGD = 45%) - Maturity: 3 years - Turnover: £20m (SME)
Calculation:
# SME correlation adjustment
S = 20
R_base = 0.179
adjustment = 0.04 × (1 - (20 - 5) / 45) = 0.027
R_sme = 0.179 - 0.027 = 0.152
# Results in lower K, lower RWA
# Plus SME Supporting Factor on final RWA (CRR)
Subordinated Debt¶
| Instrument Type | CRR Treatment | Basel 3.1 |
|---|---|---|
| Senior unsecured | Standard corporate RW | Standard |
| Subordinated debt | Corporate RW + premium | 150% |
| Mezzanine | Corporate RW + premium | 150% |
| Equity-like | 150% | 250% |
CRM for Corporates¶
Eligible Collateral¶
| Collateral Type | SA | F-IRB LGD |
|---|---|---|
| Cash | 0% | |
| Government bonds | 0% | |
| Corporate bonds | Varies | |
| Listed equity | Varies | |
| Real estate | 35% | |
| Receivables | 35% | |
| Other physical | Limited | 40% |
Guarantees¶
Corporate exposures can benefit from guarantees by: - Sovereigns (0% if CQS 1) - Institutions (if better rated) - Parent companies (under conditions)
Regulatory References¶
| Topic | CRR Article | BCBS CRE |
|---|---|---|
| Corporate definition | Art. 122 | CRE20.35-40 |
| Risk weights | Art. 122 | CRE20.41-45 |
| SME definition | Art. 501(2) | N/A |
| SME factor | Art. 501 | N/A |
| IRB corporate | Art. 153 | CRE31 |
| Correlation | Art. 153(3) | CRE31.5 |