Private Equity & Private Debt — Credit Risk and Credit Derivatives

Private Equity & Private Debt — Credit Risk and Credit Derivatives

CAIA Level I Study Guide

What Is It?

1. What it is: Credit risk in private equity (PE) and private debt (PD) refers to the likelihood of borrowers defaulting on loans or failing to meet contractual obligations. Credit derivatives (e.g., credit default swaps) are financial instruments used to transfer or hedge this risk.
2. How it’s tested/applied: CAIA tests understanding of credit risk measurement, mitigation strategies, and derivatives pricing. In practice, fund managers, lenders, and auditors use these concepts to assess loan portfolios, structure deals, and comply with risk frameworks (e.g., Basel III).

Why Does the Exam Ask This?

CAIA assesses your ability to: - Quantify credit risk (e.g., probability of default, loss given default) in illiquid private markets. - Evaluate hedging tools (e.g., credit derivatives) for risk transfer in PE/PD portfolios. - Apply regulatory logic (e.g., capital requirements, stress testing) to private credit exposures. - Make judgment calls on deal structuring, covenant design, and workout scenarios.

What Do I Need to Know First?

1. Basics of credit risk: Default probability, recovery rates, expected loss.
2. Private debt structures: Senior vs. mezzanine debt, covenants, collateral.
3. Derivatives fundamentals: Swaps, options, payoff structures.
4. Regulatory frameworks: Basel III, IFRS 9 (impairment rules).

Topic Snapshot

Private equity and private debt rely on credit risk management to protect capital. Unlike public markets, private credit lacks liquidity and transparency, making risk assessment harder. CAIA tests how credit derivatives (e.g., CDS) and risk models (e.g., Merton model) apply to illiquid loans. This topic bridges finance theory (e.g., structural models) and real-world deal execution (e.g., covenant breaches).

Exam / Job / Audit Weighting

• Frequency: High (5–10% of Level I exam).
• Difficulty Rating: Intermediate.
• Question Type: Mix of conceptual (e.g., "Explain CDS mechanics") and numerical (e.g., "Calculate expected loss").

Difficulty Level

Intermediate

Must-Know Rules, Formulas, Standards, or Principles

1. Expected Loss (EL):
   EL = Probability of Default (PD) × Loss Given Default (LGD) × Exposure at Default (EAD)
   Key: PD is borrower-specific; LGD depends on collateral.

2. Credit Default Swap (CDS) Pricing:
   CDS Spread ≈ (1 – Recovery Rate) × Default Probability × (1 + Risk-Free Rate)
   Key: Higher recovery rate → lower CDS spread.

3. Regulatory Capital (Basel III):

4. Standardized Approach: Risk weights based on external ratings.
5. IRB Approach: Banks use internal models for PD/LGD/EAD.
   Key: Private debt often uses IRB due to lack of ratings.

Misconceptions

1. "CDS eliminate credit risk." → No, they transfer risk to the protection seller (counterparty risk remains).
2. "Private debt has no credit risk." → Illiquidity and opacity amplify risk (e.g., covenant breaches).
3. "Recovery rates are fixed." → Vary by seniority, industry, and collateral quality.
4. "Merton model works for private firms." → Requires public equity data (adaptations needed for private firms).

Common Mistakes

1. Ignoring covenants: Failing to link financial ratios (e.g., debt/EBITDA) to default triggers.
2. Overlooking counterparty risk: Assuming CDS protection is risk-free (e.g., AIG 2008).
3. Misapplying LGD: Using 50% as a default assumption without analyzing collateral.
4. Confusing PD and EL: PD is probability; EL is dollar loss (PD × LGD × EAD).
5. Forgetting liquidity risk: Private debt lacks secondary markets, increasing workout costs.

The Common Trap

Assuming public-market credit models apply directly to private debt. Why it’s tempting: Familiarity with corporate bonds or CDS on public debt. Reality: Private debt lacks: - Market prices (no mark-to-market). - Credit ratings (rely on internal models). - Liquidity (workout costs are higher). Fix: Adjust models for illiquidity (e.g., higher LGD) and use stress testing.

Terms to Remember

1. Credit Default Swap (CDS): Derivative where buyer pays premium to transfer default risk.
2. Loss Given Default (LGD): % of exposure lost if borrower defaults (e.g., 40% for senior debt).
3. Covenant: Contractual clause (e.g., "Debt/EBITDA ≤ 4x") triggering default if breached.
4. Recovery Rate: % of exposure recovered post-default (1 – LGD).
5. Structural Model (Merton): Uses firm equity as a call option on assets to estimate PD.

Step-by-Step Process

1. Assess Credit Risk in Private Debt

1. Identify exposure: Loan amount, seniority, collateral.
2. Estimate PD: Use financial ratios (e.g., interest coverage), industry benchmarks, or structural models.
3. Estimate LGD: Analyze collateral (e.g., 30% for real estate, 70% for unsecured).
4. Calculate EL: PD × LGD × EAD.
5. Stress test: Simulate downturns (e.g., 20% drop in EBITDA).

2. Hedge with Credit Derivatives

1. Choose instrument: CDS (for default risk) or total return swap (for market risk).
2. Price the hedge: Compare CDS spread to expected loss.
3. Monitor counterparty risk: Check protection seller’s creditworthiness.
4. Document: Record hedge rationale and risk limits.

3. Regulatory Compliance

1. Classify exposure: Assign risk weights (Basel III).
2. Calculate capital: Capital = Risk-Weighted Assets × 8%.
3. Report: Disclose PD/LGD/EAD per IFRS 9.

Exam Answer Builder

1-Mark Question (Conceptual)

What it tests: Definition of credit risk in private debt. Example: "What is the primary driver of loss given default (LGD) in a mezzanine loan?" Key Tip: Link LGD to collateral (e.g., "Seniority and asset tangibility").

2-Mark Question (Numerical)

What it tests: Expected loss calculation. Example: "A private debt fund lends $10M to a firm with a 5% PD and 40% LGD. What is the expected loss?" Key Tip: Show formula: EL = $10M × 5% × 40% = $200K.

5-Mark Question (Application)

What it tests: Hedging strategy. Example: "A PE fund holds $50M in senior secured loans. How would you use CDS to hedge credit risk? Discuss pricing, counterparty risk, and limitations." Key Tip: 1. Pricing: Compare CDS spread to EL = PD × (1 – Recovery Rate). 2. Counterparty risk: Mention AIG 2008. 3. Limitations: Basis risk (CDS vs. loan mismatch).

Case Study (Scenario-Based)

What it tests: Covenant breach response. Example: "A portfolio company breaches its debt/EBITDA covenant. As the lender, outline your next steps, including risk assessment and potential outcomes." Key Tip: 1. Assess severity: Is it a temporary blip or structural issue? 2. Negotiate: Waiver, amendment, or acceleration. 3. Hedge: Buy CDS if default risk rises.

This vs That

Time-Saver Hack

CDS Spread ≈ Expected Loss - If a loan’s EL = 2%, a CDS spread of 200 bps (2%) is "fair value." - Use: Quick sanity check for hedge pricing.

Mini Scenarios

1. Basic

Scenario: A private debt fund lends $20M to a retail chain. The loan is senior secured by inventory. What to notice: Collateral (inventory) has low recovery value in distress → high LGD.

2. Applied

Scenario: A PE-owned software firm breaches its interest coverage covenant. The lender buys CDS protection. What to notice: CDS pricing should reflect increased PD, but counterparty risk may offset benefits.

3. Tricky

Scenario: A fund holds a $10M mezzanine loan and buys a $10M CDS. The borrower defaults, but the CDS seller (a hedge fund) also defaults. What to notice: Double default → no payout. Always check counterparty creditworthiness.

Diagnostic MCQ Bank

Easy

Question: What does a credit default swap (CDS) protect against? Options: A) Interest rate risk B) Default risk C) Liquidity risk D) Market risk Correct Answer: B) Default risk Explanation: CDS transfers credit risk (default) to the protection seller. Trap Option: A) Interest rate risk (tempting because swaps are involved, but CDS is credit-specific).

Medium

Question: A private debt fund estimates a borrower’s PD at 3% and LGD at 50%. The loan amount is $50M. What is the expected loss? Options: A) $750K B) $1.5M C) $2.5M D) $5M Correct Answer: A) $750K Explanation: EL = $50M × 3% × 50% = $750K. Trap Option: B) $1.5M (ignores LGD).

Hard

Question: A PE fund uses the Merton model to estimate PD for a private firm. Which assumption is most problematic? Options: A) Firm assets follow a lognormal distribution B) Debt is zero-coupon C) Equity is a call option on assets D) Firm has publicly traded equity Correct Answer: D) Firm has publicly traded equity Explanation: Merton model requires public equity data; private firms lack this. Trap Option: C) Equity is a call option (true, but not the biggest issue for private firms).

Real-World Patterns

1. Deal Structuring: Lenders use covenants (e.g., "Debt/EBITDA ≤ 5x") to trigger early intervention before default.
2. Audits: Regulators check if banks’ internal PD/LGD models align with historical loss data (e.g., IFRS 9 Stage 2 impairments).
3. Workouts: When a portfolio company breaches covenants, lenders may:
4. Waive the breach (if temporary).
5. Restructure debt (extend maturity, reduce interest).
6. Accelerate repayment (if default is imminent).

30-Second Cheat Sheet

1. Expected Loss = PD × LGD × EAD (memorize the formula).
2. CDS spreads ≈ (1 – Recovery Rate) × PD (quick pricing check).
3. Private debt LGD > public debt LGD (illiquidity premium).
4. Covenants = early warning system (monitor ratios, not just defaults).
5. Counterparty risk matters (CDS protection is only as good as the seller).

Related Concepts

1. Structural vs. Reduced-Form Credit Models (Merton vs. Jarrow-Turnbull).
2. Basel III Capital Requirements (risk weights for private debt).
3. Distressed Debt Investing (workout strategies post-default).

Verified Source List

1. CAIA Association: CAIA Level I Curriculum (Chapter on Private Credit).
2. Basel Committee on Banking Supervision: Basel III Framework (credit risk rules).
3. International Financial Reporting Standards (IFRS): IFRS 9 (impairment guidelines).
4. Hull, J.C.: Options, Futures, and Other Derivatives (CDS pricing).
5. Altman, E.I.: Corporate Financial Distress and Bankruptcy (recovery rates).