FRM Exam Part II · Credit Risk Management

Credit Derivatives and Securitization for FRM Part II

Updated 11 October 2026

Credit derivatives move credit risk between parties without selling the loan or bond. A CDS pays on default in return for a spread. A total return swap passes all asset returns. Securitization pools loans and tranches losses, so junior tranches absorb losses first. Solve by finding who bears which loss.

Understand Credit Derivatives and Securitization

Credit risk is the risk that a borrower fails to pay. Banks and investors often want to keep the asset but not the risk, or want the risk but not the asset. Credit derivatives and securitization let them split the two.

A credit default swap (CDS) works like insurance on a reference entity. The protection buyer pays a periodic premium, the CDS spread, quoted in basis points of the notional. If a credit event happens, the protection seller pays the loss: notional × (1 − recovery rate). The buyer keeps the bond; only the default risk moves. A CDS is not a true insurance contract, because the buyer need not own the bond.

A total return swap (TRS) transfers the whole economic return of an asset, not just default risk. The total return payer pays the asset's coupons and price gains. It receives a floating rate (such as SOFR plus a spread) and payments from the receiver for any price falls. The total return receiver receives the asset's return and pays the floating rate and any price falls. So the receiver is exposed to market risk and credit risk, and gets the asset's return without owning it, often with leverage. A CDS contract pays out only on a credit event, although its market value changes as spreads change. A TRS passes on any change in the asset's value as cash flows.

Securitization pools loans, such as mortgages or corporate loans, into a special purpose vehicle. The vehicle issues tranches of notes. Losses hit the equity (first-loss) tranche first, then mezzanine, then senior. This ordering is called subordination. A CDO is a securitization of bonds or loans. A synthetic CDO gets its credit exposure through CDSs instead of owning the assets.

Tranche risk depends on default correlation. When correlation is high, defaults cluster. As default correlation rises, the expected loss of the equity tranche falls and that of the senior tranche rises. The 2007-09 crisis showed how senior tranches suffered when default correlations and losses rose together. Credit derivatives also create counterparty risk: the protection seller may fail when many defaults occur together.

Key formulas to remember

CDS payout on credit event: Payout = Notional × (1 − Recovery rate); Equals loss given default on the notional. Cash or physical settlement gives the same economics.
Approximate CDS spread: Spread ≈ λ × (1 − R); λ is the annual risk-neutral default intensity (hazard rate), R is recovery. A rough credit triangle, assuming constant λ.
Annual CDS premium: Premium = Spread × Notional; Spread in decimals. Paid usually quarterly, accrued to the default date.
Implied hazard rate: λ ≈ Spread ÷ (1 − R); Rearranged credit triangle. Gives a risk-neutral, not real-world, default probability.
Survival probability: Q(t) = e^(−λt); Probability of no default to time t with constant hazard rate.
Tranche loss: Tranche loss = min(max(Pool loss − Attachment, 0), Detachment − Attachment); Losses are in the same units as the points (percent of pool). Divide by tranche width for the percent loss of the tranche.
CDS basis: Basis = CDS spread − bond spread; A positive basis means the CDS is more expensive than the bond spread.

How to solve Credit Derivatives and Securitization questions

Use this order for any question on CDS, TRS or tranches. It stops you mixing up who pays what.

1Name the instrument and the parties: protection buyer or seller, TRS payer or receiver, or the tranche holder.
2Identify the trigger: a credit event for a CDS, any change in asset value for a TRS, or pool losses crossing an attachment point for a tranche.
3Write the cash flows in order: periodic premium, then any payout. Use notional, spread in decimals and recovery rate.
4For tranches, convert pool loss to money, subtract the attachment point and cap at the tranche width.
5Apply the right pricing logic: spread ≈ hazard rate × (1 − R) for quick pricing, or expected loss for tranches.
6Check the risk views: market risk, credit risk and counterparty risk for each side.
7Interpret the answer, including correlation effects, and check units, signs and annual versus quarterly.

Quickest way: Credit triangle and loss waterfall

When to use it: Use for fast MCQs on CDS spreads, payouts and tranche losses.

For a CDS payout, compute notional × (1 − R) at once.
For spread or default probability, use spread ≈ λ(1 − R) and rearrange.
For tranches, convert losses into the pool's percent, then subtract attachment and cap at width.
For conceptual options, ask: who loses first? Equity tranche first, senior last.
Check correlation direction: higher correlation raises senior tranche risk and usually lowers equity tranche risk.

Common mistakes in Credit Derivatives and Securitization

Paying the full notional on a CDS credit event.
Students forget that the bond still has recovery value.
Fix: Payout = notional × (1 − R). Always subtract recovery.
Treating a TRS as protection against default only.
It is confused with a CDS because both transfer credit exposure.
Fix: A TRS passes all price changes and income. The receiver also bears market risk.
Saying higher default correlation makes every tranche riskier.
Correlation sounds like extra risk in general.
Fix: Higher correlation tends to lower equity tranche risk and raise senior tranche risk, as the loss distribution fattens at the tail.
Reading CDS-implied default probability as real-world probability.
Spreads look like probabilities of default.
Fix: They are risk-neutral and include risk premia. Real-world probabilities are usually lower.
Mixing up the buyer and seller of protection.
The buyer pays like an insurance customer, but students confuse paying a spread with being long the credit, since a bond investor 'receives' spread.
Fix: The protection buyer pays the spread and is short credit: it gains when spreads widen. The protection seller is long credit: it gains when spreads tighten.
Ignoring counterparty risk in credit derivatives.
Focus stays on the reference entity.
Fix: Add the risk that the protection seller fails, especially if it is correlated with the reference entity (wrong-way risk).

Worked examples

Example 1

A bank buys 5-year CDS protection on a corporate bond with notional $20 million at a spread of 150 bp. The reference entity defaults and the bond is valued at 40% of par. Find the annual premium and the protection payout.

Show the solution

Annual premium = 0.0150 × $20,000,000 = $300,000.
Recovery rate R = 40%, so loss rate = 1 − 0.40 = 0.60.
Payout = $20,000,000 × 0.60 = $12,000,000.

Answer: Annual premium $300,000; payout $12 million.

Example 2

A CDO pool has total losses of 9% of its notional. The mezzanine tranche attaches at 3% and detaches at 10%. What percent of the mezzanine tranche is lost?

Show the solution

Loss reaching the tranche = min(max(9% − 3%, 0), 10% − 3%).
9% − 3% = 6%, which is below the 7% width, so the tranche loss is 6% of the pool.
Tranche width = 10% − 3% = 7%.
Percent of tranche lost = 6 ÷ 7 = 0.857, or 85.7%.

Answer: About 85.7% of the mezzanine tranche is lost. The equity tranche (0-3%) is fully wiped out.

Exam tips

Always separate credit risk from market risk when comparing CDS and TRS. Questions test exactly this difference.
Compute payouts as notional × (1 − R) and check you used the correct recovery rate.
For tranche questions, write attachment and detachment points before any arithmetic.
Remember the crisis lessons: correlation assumptions, senior tranche losses and counterparty concentration.
Watch the word 'risk-neutral'. CDS-implied default probabilities are not real-world probabilities.

Practice questions from Credit Risk Management

Credit Derivatives and Securitization: frequently asked questions

How does a CDS work, with a simple example?

The buyer pays a yearly spread, for example 1% of notional, to the seller. If the reference entity defaults, the seller pays notional × (1 − recovery). On $10 million with 40% recovery, that is $6 million.

What is the difference between a CDS and a total return swap?

A CDS pays only on a credit event and covers default risk. A TRS passes all income and price changes of the asset. So the TRS receiver bears both market and credit risk.

How are CDO tranches ranked?

Losses hit the equity tranche first, then mezzanine, then senior. Higher tranches have lower risk and lower spread. Each tranche is defined by attachment and detachment points.

Does securitization remove credit risk from the system?

No. It moves and repackages credit risk. If investors or the originator keep exposure, or if models understate correlation, losses can return to banks, as seen in the 2007-09 crisis.