Michael Brenndoerfer | Data & AI, Private Equity, Technology

Michael Brenndoerfer

Credit Default Swaps (CDS) and Credit Derivatives › CDS Spread and Credit Risk

Michael BrenndoerferNovember 18, 20252 min read

Quantitative FinanceAll chapters

Part 4 of 15Swaps and Credit Derivatives

Chapter 22Credit Default Swaps (CDS) and Credit Derivatives › CDS Spread and Credit Risk

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The CDS spread is the equilibrium price that makes the expected present value of the premium leg equal to the expected present value of the protection leg. This spread directly reflects the market's assessment of the reference entity's credit risk, serving as a real-time barometer of creditworthiness that often moves faster than bond prices or credit ratings.

CDS Spread

The CDS spread is the annual premium, expressed in basis points of the notional principal, that the protection buyer pays to the protection seller. A spread of 100 basis points means the buyer pays 1% of the notional per year for protection.

To understand how the spread relates to credit risk, consider this simplified relationship. If the probability of default over the next year is $p$ and the recovery rate is $R$ , then the expected loss from default is:

\text{Expected Loss} = p \times (1 - R)

where:

$p$ : probability of default over the next year
$R$ : recovery rate (fraction of face value)
$(1 - R)$ : loss given default (LGD)

This formula captures a fundamental insight: credit risk depends on the probability that default occurs and the severity of loss when it does occur. A company with a 5% chance of default and 80% recovery poses less credit risk than one with a 3% chance of default and only 20% recovery. The expected loss calculation combines both dimensions of credit risk into a single, comparable metric.

For the CDS to be fairly priced, the premium paid should approximately equal this expected loss. For a one-year CDS, this gives us:

s \approx p \times (1 - R)

where:

$s$ : CDS spread expressed as a decimal (e.g., 100 bps = 0.01)
$p$ : probability of default
$R$ : recovery rate

This relationship reveals the key factors driving CDS spreads:

Higher default probability leads to higher spreads
Lower recovery rates lead to higher spreads
The spread reflects loss given default, not just probability of default

This approximation has a straightforward interpretation: the CDS spread is essentially the market's estimate of annual expected credit losses. When you pay 100 basis points for protection, the market is implicitly saying that the expected value of your protection payment, considering both the likelihood and severity of default, equals approximately 1% of the notional per year.