Estimated study time: 60 minutes
Content:
Credit analysis at CFA Level 2 moves beyond issuer-level ratings to quantitative credit risk modeling and the pricing of credit risk in bonds and loans. Credit risk has two components: default risk (the probability the issuer fails to make promised payments) and loss severity (the fraction of principal lost given default, i.e., 1 minus the recovery rate). Expected loss = Probability of Default (PD) * Loss Given Default (LGD) = PD * (1 - Recovery Rate). Credit spreads in bond markets compensate investors for expected losses plus a credit risk premium for bearing uncertainty about credit losses. The credit spread on a corporate bond represents the additional yield above the comparable risk-free rate required by investors.
The structural model of credit risk (Merton model) treats equity as a call option on the firm's assets. Equity holders receive the firm's asset value minus debt face value at maturity if assets exceed debt, or zero if assets fall below debt (in which case debt holders receive whatever assets remain). Formally: Equity = Max(V_A - D, 0) and Debt = V_A - Max(V_A - D, 0) = Min(V_A, D), where V_A is asset value and D is debt face value. This framework connects equity market volatility and value to credit risk: as equity volatility increases and equity value decreases relative to debt, the probability of default rises. The structural model predicts that credit spreads should widen as leverage increases, asset volatility rises, or the value of assets approaches the debt threshold. The Merton model provides a theoretically rigorous foundation but requires asset value and asset volatility — not directly observable — as inputs.
Reduced-form credit models take a different approach: they treat default as an exogenous Poisson process with an intensity (hazard rate) lambda that can be estimated from market data. The survival probability over n periods = exp(-lambda * n) under constant hazard rate. Credit spread ≈ PD * LGD for short maturities, but duration effects matter for longer bonds. The risk-neutral default probability can be extracted from market credit spreads: PD (risk-neutral) ≈ spread / LGD. Risk-neutral default probabilities embed both actual default probabilities and credit risk premiums, so they are higher than historical (actuarial) default rates. The difference (credit risk premium) compensates investors for bearing systematic credit risk that is correlated with economic downturns.
Credit analysis in practice involves the four Cs: Capacity (ability to service debt — analyzed through coverage ratios, cash flow projections, stress tests), Collateral (assets securing the debt — affects recovery rates), Covenants (restrictive agreements protecting creditors — financial maintenance covenants, incurrence covenants), and Character (management integrity and track record — qualitative). Key financial ratios for corporate credit include: interest coverage ratio (EBIT or EBITDA / interest expense), debt-to-EBITDA (leverage ratio; investment grade typically < 3x), debt-to-total capital, and free cash flow generation. At Level 2, candidates must assess credit quality through ratio analysis, compare to credit rating thresholds, and evaluate the implications of covenant violations.
High-yield (below-investment-grade) bonds require additional analytical tools beyond investment grade analysis. Liquidity analysis becomes critical for speculative-grade issuers because near-term cash needs and debt maturity profiles can trigger distress independent of longer-run earnings power. The debt maturity wall (amount of debt maturing in each year) and available liquidity (cash, undrawn revolver capacity) determine the issuer's runway. Recovery rate analysis is more important because HY investors bear higher loss severity in defaults. Subordinated debt (second lien, unsecured bonds) recovers less than senior secured debt. In distressed analysis, equity analysis methods (DCF, comparables) are applied to estimate firm enterprise value, which is then compared to total debt to assess recovery prospects and investment opportunities in distressed bonds.
Key Terms:
Quiz Questions:
Q1. A corporate bond has a credit spread of 3.0% (300 bps) over Treasuries, and the recovery rate for similar bonds is 40%. What is the implied risk-neutral probability of default per year?
A) PD = Spread * Recovery Rate = 0.03 * 0.40 = 1.2% per year. B) PD = Spread / (1 - Recovery Rate) = 0.03 / 0.60 = 5.0% per year. C) PD = Spread / Recovery Rate = 0.03 / 0.40 = 7.5% per year. D) PD = Spread * (1 - Recovery Rate) = 0.03 * 0.60 = 1.8% per year.
Answer: B — Expected loss per year ≈ PD * LGD = PD * (1 - Recovery Rate). In risk-neutral pricing, credit spread ≈ expected loss: Spread = PD * (1 - RR). Solving for PD: PD = Spread / (1 - RR) = 0.03 / (1 - 0.40) = 0.03 / 0.60 = 5.0% per year. This is the risk-neutral (market-implied) annual default probability, which includes a risk premium and will exceed the historical actuarial default rate for the same credit quality.
---
Q2. In the Merton structural credit model, a firm has total assets of $100M with asset volatility of 20% annually. The firm has a single zero-coupon debt issue of $70M face value maturing in 1 year. The risk-free rate is 5%. As the firm's equity value decreases from $35M to $15M (due to poor operating performance), which of the following best describes the impact on the firm's credit risk?
A) Credit risk is unchanged because the debt face value is fixed. B) Decreasing equity value relative to debt means assets are approaching the default threshold; the distance-to-default decreases, increasing the probability of default. C) Credit risk decreases because the firm is de-levering. D) The Merton model does not connect equity value to credit risk.
Answer: B — In the Merton model, equity is a call option on the firm's assets with strike price equal to debt face value. As equity value falls (from $35M to $15M) while debt is fixed at $70M, the implied asset value has declined (assets ≈ equity + debt market value, which has risen), and the gap between asset value and the default threshold (debt face value of $70M) has narrowed. The distance-to-default (number of standard deviations between current asset value and the default threshold) decreases, directly increasing the default probability. This is the key insight linking equity market moves to credit risk in the structural framework.
---
Q3. Alpha Corp has EBITDA of $50M, total debt of $300M, interest expense of $18M, and annual debt maturities of $40M over the next 2 years. The company holds $20M in cash and has a $30M undrawn revolver. Assess Alpha Corp's credit risk from a leverage and liquidity perspective.
A) Alpha Corp is in excellent shape: leverage of 6.0x and full liquidity. B) Alpha Corp has elevated leverage (Debt/EBITDA = $300M/$50M = 6.0x, above investment-grade threshold of ~3-4x for most industries), borderline coverage (EBITDA/Interest = $50M/$18M = 2.8x), and near-term liquidity risk (available liquidity = $20M cash + $30M revolver = $50M vs. $40M due annually — tight but manageable). C) Alpha Corp's coverage ratio of 2.8x is strong; leverage is the only concern. D) Debt/EBITDA of 6.0x is normal for all industries.
Answer: B — This is a multi-dimensional credit assessment. Leverage: 6.0x Debt/EBITDA is high; investment grade typically requires < 3-4x in most sectors. EBITDA/Interest coverage of 2.8x provides limited cushion — distress covenants often trigger at 2.0x. Liquidity: $50M available liquidity barely covers annual $40M maturities, leaving no buffer for earnings shortfalls or unexpected needs. This company is likely non-investment grade (high yield) and would be assessed as a speculative-grade credit with refinancing risk.
---
Q4. A high-yield bond is trading at a price of $75 (yield-to-worst of 12%). The market expects a 60% probability of default over the next 2 years and estimates recovery at 35%. What is the expected value of the bond over the 2-year period, ignoring time value?
A) Expected value = 0.40 * $100 (no default, par recovery) + 0.60 * $35 (default, 35% recovery) = $40 + $21 = $61. B) Expected value = 0.40 * $100 + 0.60 * $0 = $40 (assuming zero recovery). C) Expected value = $75 (current market price equals expected value by definition). D) Expected value = 0.60 * $100 + 0.40 * $35 = $60 + $14 = $74.
Answer: A — Expected value = P(no default) * Par + P(default) * Recovery = 0.40 * $100 + 0.60 * $35 = $40 + $21 = $61. The bond trades at $75 vs. expected value of $61, suggesting either the market default probability (60%) seems too high from the buyer's perspective, or the market price embeds a credit risk premium that allows investors to earn a return above expected loss. This is the credit risk premium: buying credit-risky bonds at spreads above expected loss generates positive expected risk-adjusted returns.
---
Q5. A corporate bond indenture contains a maintenance covenant requiring the issuer to maintain a minimum interest coverage ratio of 2.5x tested quarterly. At the end of Q3, the company's EBITDA/Interest is 2.3x. Which of the following describes the most likely sequence of events?
A) Nothing happens; maintenance covenants are aspirational and have no legal consequences. B) The company has breached the covenant; lenders may declare a technical default, demand repayment, or negotiate a waiver (typically for fees and potentially tighter terms); the company must act immediately to remedy or obtain a waiver. C) The covenant breach triggers automatic bankruptcy proceedings. D) The breach affects equity holders only; debt holders have no remedies until the company misses an actual payment.
Answer: B — Maintenance covenant breaches are technical defaults that trigger lender remedies even without a missed payment. Lenders typically have the right to declare default and demand accelerated repayment, which can force bankruptcy if the company cannot refinance. In practice, most covenants breaches are resolved through waiver negotiations: the company pays a fee, accepts higher interest rates, and may accept tighter future covenants. Waiver refusal or inability to refinance leads to restructuring or bankruptcy. This is why maintenance covenants are valuable to creditors — they provide early warning and intervention rights before cash flow insolvency.
---