Contingent Convertible (CoCo / AT1) Bond Valuation & Risk Lab
Model Basel III Additional Tier 1 (AT1) bank capital, structural distance-to-trigger, mechanical CET1 breach probabilities, regulatory Point of Non-Viability (PONV) bail-in hazard rates, Maximum Distributable Amount (MDA) coupon cancellation discretion, and non-call extension risk.
CoCo & Bank Capital Inputs
1. Bond Structure & Loss Absorption
2. Bank Balance Sheet & CET1 Ratios
3. Credit Spreads & Volatility Drivers
Quantitative Risk & Capital Analytics
Basel III Compliance| Risk Dimension | Metric | Value / Result | Analytical Significance |
|---|---|---|---|
| Capital Buffer | MDA Buffer to CBR | 3.50% ($8.8B) | Distance to Maximum Distributable Amount coupon restrictions |
| Trigger Headroom | Distance to CoCo Trigger | 7.50% ($18.8B) | Pre-tax loss capacity required to breach mechanical threshold |
| Trigger Risk | 5-Yr Mechanical Trigger Prob | 3.85% | First-passage barrier probability under geometric asset dynamics |
| Regulatory Risk | 5-Yr PONV Bail-In Prob | 2.96% | Point of Non-Viability discretionary bail-in hazard intensity |
| Coupon Discretion | Annual Coupon Cancel Prob | 4.12% | Probability of falling into CBR requiring coupon suspension |
| Refinancing & Call | Reset Coupon Payable | 7.50% | Benchmark yield + reset margin (+375 bps) payable upon non-call |
| Duration Shift | Expected WAL (Duration) | 6.82 years | Weighted Average Life blending call date vs extension scenarios |
| Loss Severity | Recovery Value upon Bail-In | $0.0 (0.0%) | Investor residual payout based on contractual loss absorption type |
AT1 Yield Spread Decomposition
The total AT1 credit spread compensates investors for subordinated status, permanent or temporary capital loss upon trigger breach, non-cumulative coupon cancellation risk under MDA rules, and extension risk when market yields disincentivize refinancing.
Sensitivity: Asset Volatility vs Distance-to-Trigger
Sensitivity: Benchmark Yield vs Prevailing AT1 Spread
Quantitative Foundations of Contingent Capital
1. Basel III Capital Framework & Additional Tier 1 (AT1)
Under the Basel III regulatory framework established after the 2008 Global Financial Crisis, bank regulatory capital is structured into three primary tiers: Common Equity Tier 1 (CET1), Additional Tier 1 (AT1), and Tier 2 (T2) capital. AT1 instruments are perpetual hybrid debt securities designed to absorb losses while the bank is a going concern, shielding depositors and senior creditors:
2. Structural Distance to Trigger (Merton Framework)
Viewing the bank's balance sheet through a structural Merton (1974) credit model, the bank's underlying assets $A_t$ follow geometric Brownian motion with annualized volatility $\sigma_A$. The accounting CET1 ratio represents equity capital divided by risk-weighted assets. The distance-to-trigger metric $d_2$ measures how many standard deviations of asset contraction the bank can withstand before breaching its contractual trigger $CET1^*$:
P(Trigger Breach) ≈ 2 Φ(-d_2)
3. Regulatory Discretion: Point of Non-Viability (PONV)
Unlike plain-vanilla corporate debt, CoCos carry statutory Point of Non-Viability (PONV) covenants. Even if a bank's reported accounting CET1 ratio appears healthy (e.g. 11%–12%), banking regulators hold independent legal discretion to declare the institution non-viable if it faces sudden liquidity runs or systemic deposit flight. Under PONV declaration, full bail-in or principal write-off is executed immediately.
4. Maximum Distributable Amount (MDA) & Coupon Discretion
AT1 coupons are fully discretionary and non-cumulative. If an issuing bank dips into its Combined Buffer Requirement (CBR)—which sits directly above minimum CET1 requirements—automatic Capital Requirements Directive (CRD IV) Maximum Distributable Amount (MDA) restrictions trigger. The bank is legally prohibited from paying discretionary distributions, including bonuses, equity dividends, and AT1 coupons. Cancelled coupons do not accumulate as arrears.
5. Extension Risk & The Non-Call Economic Incentive
AT1 bonds contain no maturity date; redemption occurs solely at the option of the issuer on designated reset call dates (typically every 5 years). An issuer will call and refinance only if economically advantageous. If secondary market credit spreads have widened substantially, the bank saves cash by refusing to call, paying only the contractual reset coupon ($\text{Benchmark} + \text{Reset Margin}$) and transforming the paper into perpetual subordinated debt.
CoCo Capital Mastery Self-Assessment
Frequently Asked Questions: CoCo Bonds & AT1 Capital
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