Credit Default Swap - Trading and Hedging Default Risk

By EC Assets Research Team, Fixed Income Research · Published · Updated

Credit Default Swap: A credit default swap (CDS) is insurance against a borrower defaulting: the protection buyer pays a periodic spread and receives (1 − recovery) × notional if a credit event occurs. It lets investors take, hedge, or short credit risk on a name without owning its bonds, and its spread is a near-pure, real-time gauge of default risk.

What a Credit Default Swap Is

A credit default swap (CDS) is a contract that transfers the default risk of a reference entity, a company or a government, from one party to another. The protection buyer pays a periodic premium, the CDS spread, and the protection seller compensates the buyer if a defined credit event occurs. Neither party needs to own the reference entity's bonds, which is what made the CDS the central instrument for trading credit spreads as a risk in their own right.

The spread is quoted in basis points per year of notional. Because it is unaffected by a bond's coupon, its price relative to par or the cost of funding it, it is a cleaner reading of credit risk than a bond's yield spread.

How It Works

Two legs run until maturity or a credit event. On the premium leg the buyer pays the spread quarterly on the notional. On the protection leg the seller pays (1 - R) × notional after a credit event, where R is the recovery rate set by an industry auction.

Duffie (1999) showed how the spread relates to default risk. For a flat default intensity λ the credit triangle is

$$s \approx \lambda,(1 - R) \qquad\Longrightarrow\qquad \lambda \approx \frac{s}{1-R}$$

and the probability of surviving T years is e^(-λT). Because spreads include a premium for bearing default risk, these risk-neutral intensities exceed historical default rates.

Since the 2009 standardisation, North American contracts trade with fixed coupons, typically 100 basis points for investment-grade names and 500 for high yield, plus an upfront payment that settles the difference between the coupon and the market spread. The upfront is approximately (s - coupon) × RPV01, where RPV01 is the present value of one basis point of premium paid until maturity or default. Standard coupons made contracts fungible and allowed central clearing.

Indices bundle many names into one contract. The CDX North America Investment Grade and iTraxx Europe Main indices each reference 125 companies with equal weights and roll to a new series every six months, so a portfolio manager can add or hedge broad credit exposure in a single trade.

Worked Example

Five-year protection on 10 million notional, market spread 200 basis points, recovery 40 percent, interest rate 4 percent, premiums paid quarterly. The calculations assume a flat default intensity and ignore premium accrued at default.

Implied default risk. λ ≈ 0.02 / (1 - 0.40) ≈ 3.33 percent a year. The five-year survival probability is e^(-0.0333 × 5) ≈ 84.6 percent, so the market prices a 15.4 percent chance of default within five years.

Cash flows. Without a default the buyer pays 200,000 a year, 50,000 a quarter. On default the seller pays (1 - 0.40) × 10 million = 6,000,000.

Upfront on a standard contract. The RPV01 is about 4.15 years. On a contract with a 100 basis point coupon, the buyer pays (0.02 - 0.01) × 4.15 ≈ 4.15 percent of notional upfront, about 414,756, and then 100 basis points a year.

Marking a widening. If the spread widens to 300 basis points, the RPV01 falls to about 3.98, and protection bought at 200 is worth roughly 0.01 × 3.98 × 10 million ≈ 398,123 to the buyer.

When It Applies (and Limitations)

Counterparty risk. Protection is only as good as the seller's ability to pay. Central clearing and margining of standard contracts have reduced, but not removed, this risk.

Definitions matter. Whether a restructuring or a distressed exchange counts as a credit event depends on contract terms, and disputes over trigger events have produced outcomes that surprised holders.

Basis risk. A CDS hedge and the bond it protects can diverge because of funding costs, deliverable obligations and liquidity, so the CDS-bond basis moves, especially in stress.

Risk-neutral is not real-world. The default probabilities implied by spreads include compensation for risk and liquidity and are well above the default rates rating agencies observe for the same credit quality. Reading them as forecasts overstates the likelihood of default.

Recovery uncertainty. The payout depends on the auction recovery, which can differ widely from the 40 percent convention used for quoting.

Why It Matters for Institutional Investors

Hedging. Banks, bond portfolios and private debt lenders buy protection to hedge issuer or sector exposure without selling loans or bonds that are illiquid or held for relationship reasons.

Expressing views. Buying protection is the practical way to short credit; hedge funds use single names and indices such as CDX and iTraxx to express views on issuers, sectors or the credit cycle.

A live risk gauge. CDS spreads move continuously and often react faster than cash bonds, so they are watched as a real-time measure of perceived default risk for companies, banks and sovereigns. Sovereign CDS, in particular, often price fiscal stress before government bond markets fully reflect it.

Tail exposure. Selling protection is economically similar to owning the bond with leverage: it earns premium without committing cash but loses heavily when defaults cluster. Written protection should be sized and collateralised for the downturn, not for the average year.

References

  1. Duffie, D. (1999). Credit Swap Valuation. Financial Analysts Journal, 55(1), 73-87.
  2. Longstaff, F. A., Mithal, S., & Neis, E. (2005). Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market. Journal of Finance, 60(5), 2213-2253.
  3. O'Kane, D. (2008). Modelling Single-name and Multi-name Credit Derivatives. Wiley.
  4. Duffie, D., & Singleton, K. J. (2003). Credit Risk: Pricing, Measurement, and Management. Princeton University Press.
  5. Hull, J. C. (2022). Options, Futures, and Other Derivatives (11th ed.). Pearson.

Frequently asked questions

How does a credit default swap work?

The protection buyer pays the seller a periodic premium, the CDS spread, on a notional amount. If the reference entity suffers a defined credit event such as bankruptcy or failure to pay, the seller pays the buyer the loss given default, usually settled through an industry auction that fixes the recovery price. If no event occurs, the protection simply expires.

How is a CDS spread different from a bond's credit spread?

A bond's spread is affected by its coupon, its price relative to par and the cost of funding the position. A CDS isolates credit risk in one standardised contract, so its spread is a cleaner reading of default risk. The difference between the two, the CDS-bond basis, is itself traded.

What does a CDS spread say about default probability?

Roughly, the spread equals the annual default intensity times one minus the recovery rate, so the implied intensity is the spread divided by one minus recovery. Because spreads include a risk premium, these risk-neutral probabilities are higher than the default rates that historically occur.

How can a CDS be used to short credit?

By buying protection. The buyer pays the spread and gains if the issuer's credit deteriorates, because the protection becomes more valuable as the spread widens and pays out on default. No bonds need to be borrowed or sold.

Why was CDS central to the 2008 financial crisis?

Some firms, most prominently AIG, had sold protection in very large size on correlated mortgage-related exposures without holding enough collateral or capital. When losses and collateral calls arrived together, the sellers could not meet them, and the risk spread across their counterparties. The episode led to central clearing and stricter margin rules.

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