Level I · Fixed Income

Learning Module 14
Credit Risk

Key Outcomes Summary & Practice Problems

Learning Outcomes

What you must be able to do

Curriculum Year: 2026

LOS 1

Describe credit risk and its components — probability of default (POD) and loss given default (LGD), and their product (expected loss). Understand the sources of credit risk for different borrower types.

LOS 2

Describe the uses of ratings from credit rating agencies and their limitations — investment grade vs. high yield, rating agency processes, and pitfalls of relying solely on credit ratings.

LOS 3

Describe macroeconomic, market, and issuer-specific factors that influence the level and volatility of yield spreads — credit cycles, market liquidity, leverage, coverage, and the price impact of spread changes.

1 · Credit Risk and Its Components

    • Credit risk: The risk of economic loss resulting from a borrower's failure to make full and timely payments of interest and principal.

    • Probability of default (POD): The likelihood that an issuer fails to make full and timely payments. Typically measured annually.

    • Loss given default (LGD): The investor's loss conditional on an event of default. LGD = EE × (1 − RR), where EE = expected exposure, RR = recovery rate.

    • Expected loss (EL): EL = POD × LGD. The probability‑weighted shortfall that investors expect.

    • Credit spread approximation: Credit Spread ≈ POD × LGD

EXPECTED LOSS

EL = POD × LGD
LGD = EE × (1 − RR)
Credit Spread ≈ POD × LGD

Sources of Credit Risk

    • Credit risk: The risk of economic loss resulting from a borrower's failure to make full and timely payments of interest and principal.

    • Probability of default (POD): The likelihood that an issuer fails to make full and timely payments. Typically measured annually.

    • Loss given default (LGD): The investor's loss conditional on an event of default. LGD = EE × (1 − RR), where EE = expected exposure, RR = recovery rate.

    • Expected loss (EL): EL = POD × LGD. The probability‑weighted shortfall that investors expect.

    • Credit spread approximation: Credit Spread ≈ POD × LGD

📊 Probability of Default Drivers

• Profitability (EBIT margin)
• Coverage (EBIT/interest expense)
• Leverage (Debt/EBITDA, Debt/Capital)
• Cash flow stability

💼 Loss Given Default Drivers

• Seniority ranking (secured vs. unsecured)
• Collateral quality
• Recovery rates (industry, cycle)
• Legal/regulatory environment

2 · Credit Rating Agencies and Credit Ratings

Credit Rating Scale (S&P / Moody's / Fitch)

AAA/Aaa
Highest credit quality, lowest level of credit risk
IG
AA/Aa
Very high credit quality with very low credit risk
IG
A
High credit quality with low credit risk
IG
BBB/Baa
Good credit quality with moderate credit risk
IG
BB/Ba
Speculative with substantial credit risk
HY
B
Highly speculative with high credit risk
HY
CCC/Caa
Substantial credit risk; default is a real possibility
HY
CC/Ca
Very high levels of credit risk; default has occurred or is imminent
HY
D/C
In default
DEFAULT

Uses and Limitations of Credit Ratings

    • Uses: Compare creditworthiness within and across industries; trigger covenants and debt pricing; satisfy regulatory, statutory, and contractual requirements.

    • Limitations: Ratings may lag market pricing of credit risk; some risks are difficult to capture (litigation, environmental, debt‑financed acquisitions); miscalculations or unforeseen changes may not be captured.

    • Split ratings: Different agencies may assign different ratings to the same issuer (e.g., WeWork: BB− by Fitch, B+ by S&P, Caa1 by Moody's).

    • Rating outlooks: Indicate possible future upgrades/downgrades but may still lag market conditions.

3 · Factors Impacting Yield Spreads

Macroeconomic Factors

    • Credit cycle: Spreads narrow at the top of the credit cycle (low perceived risk) and widen at the bottom (high perceived risk).

    • Flight to quality: During market stress, investors sell risky assets and buy government bonds, causing credit spreads to widen.

    • High‑yield bonds: Offer portfolio diversification, capital appreciation potential, and equity‑like returns with lower volatility.

Market Factors

    • Market liquidity risk: The transaction costs associated with selling a bond. Reflected in bid‑offer spreads.

    • Issuer size and credit quality: Larger issuers and higher credit quality → more liquid bonds → tighter spreads.

    • Supply and demand: Heavy new issue supply can widen spreads; high demand tightens spreads.

Issuer-Specific Factors

    • Debt coverage: Sufficiency of cash flows to make interest and principal payments. Measured by interest coverage ratios.

    • Leverage: Relative reliance on debt financing. Higher leverage → higher credit risk → wider spreads.

    • Credit migration risk: Risk that an issuer's creditworthiness deteriorates, causing spreads to widen and prices to fall.

Price Impact of Spread Changes

    • Duration and convexity: The same duration and convexity statistics that apply for yield changes also apply for spread changes.

    • Price impact: %ΔPV ≈ −AnnModDur × ΔSpread + ½ × AnnConvexity × (ΔSpread)²

    • Longer‑duration bonds have higher spread sensitivity — their prices are more volatile with respect to spread changes.

SPREAD IMPACT ON PRICE

%ΔPV ≈ −AnnModDur × ΔSpread + ½ × AnnConvexity × (ΔSpread)²

4 · Quick Reference — Credit Risk Summary

Concept

Formula / Description

Expected Loss

EL = POD × LGD

Loss Given Default

LGD = EE × (1 − RR)

Credit Spread

≈ POD × LGD

Investment Grade

BBB− / Baa3 and above

High Yield

BB+ / Ba1 and below

Key IG Ratios

Higher profitability, higher coverage, lower leverage

Spread Change Impact

−Dur × ΔSpread + ½ × Con × (ΔSpread)²