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FRM Part II · FRM Exam Part II

Credit Derivatives for FRM Part II: Chapter Guide

Credit derivatives are contracts that transfer credit risk without transferring the underlying loan or bond. The core product is the credit default swap (CDS): the buyer pays a periodic spread and receives a payment if a credit event occurs. To solve questions, identify the product, the cash flows, the pricing relation, and the risk being moved.

What this chapter covers

This chapter covers how credit risk is traded, hedged and repackaged. It starts with the single-name credit default swap (CDS), moves to pricing, then to indices and multi-name products, then to CDOs and tranches, and ends with other structured credit and the risks of the instruments themselves.

The chapter sits inside the Credit Risk Measurement and Management topic of FRM Part II. It builds on probability of default, loss given default and exposure. It also links to counterparty credit risk, securitization and the lessons of the 2007-09 crisis, so the same ideas return in other chapters.

Questions are applied. You may be given a spread, a recovery rate and a notional in USD, and asked for a payment, an approximate default probability or a tranche loss. You may also get a short case on a bank hedging a loan book and be asked what risk remains. Know the mechanics well enough to reason through a new setup.

Credit derivatives reward candidates who understand cash flows and risk transfer rather than memorizing terms. The chapter has a limited set of calculations, such as the CDS payoff, the spread-to-hazard-rate approximation and tranche loss allocation, and these repeat in many forms. It also feeds neighbouring chapters on counterparty risk and securitization, so the effort pays back more than once. With 80 questions in 4 hours, quick and accurate handling of these standard setups saves time for harder cases.

Credit Derivatives: topics in the order to study them

  1. 1Credit Default Swaps (CDS) MechanicsEvery other topic uses the CDS, so learn the parties, premium, credit events, settlement and recovery first.
  2. 2CDS Valuation and PricingOnce you know the cash flows, you can value them using spread, hazard rate, recovery and discounting.
  3. 3Credit Indices and Multi-Name ProductsIndices are portfolios of single-name CDS, so they extend what you already know to many names.
  4. 4CDOs and Tranche StructuresTranches slice portfolio loss by seniority, and this needs the idea of correlated defaults from multi-name products.
  5. 5Other Credit Derivatives and Structured CreditTotal return swaps, credit-linked notes and similar products are variations on the same risk transfer, so they are easy once the core is clear.
  6. 6Risks and Counterparty Issues in Credit DerivativesStudy this last, because the risks (wrong-way risk, basis, model and liquidity) apply to every product above.

How to prepare Credit Derivatives

Aim to understand who pays what and when, then practise the few calculations until they are quick.

  1. Draw the cash flow diagram for a CDS before and after a credit event. Mark the protection buyer, the seller, the premium and the payout.
  2. Learn the pricing logic: the spread compensates for expected loss, so spread ≈ hazard rate × (1 − recovery rate). Know that this is an approximation and when it is used.
  3. Practise payout questions: payout = notional × (1 − recovery rate) for a standard credit event. Also note any accrued premium.
  4. For indices and CDOs, work out which tranche takes the first loss and how losses move up. Redo a loss allocation example by hand with different portfolio losses.
  5. Understand how default correlation affects tranches. Higher correlation tends to raise risk for senior tranches and lower it for equity tranches, so be ready to explain the direction.
  6. Make a one-page list of risks: counterparty, wrong-way, basis, liquidity, model and legal or documentation risk. Link each to an example.
  7. Finish with timed mixed sets. Review each wrong answer by naming the concept you missed, not only the right option.

Common mistakes in Credit Derivatives

  • Mixing up the buyer and seller of protection.

    Fix: Remember that the protection buyer is hedged and pays the spread. The seller earns the spread and bears the default loss.

  • Forgetting recovery in the payout or the pricing approximation.

    Fix: Always write (1 − recovery rate) first. Use it in both payout and spread approximations.

  • Getting the direction of correlation effects wrong for tranches.

    Fix: Think in loss distributions. Higher correlation makes both no-loss and extreme-loss outcomes more likely, so it tends to help equity and hurt senior tranches.

  • Treating a CDO tranche as a share of the portfolio.

    Fix: A tranche is a slice of loss defined by attachment and detachment points. Compute loss between those points, not a pro rata share.

  • Ignoring counterparty and wrong-way risk when judging a hedge.

    Fix: Ask whether the protection seller can pay when the reference entity defaults, and whether the two are linked.

  • Memorizing definitions without working numbers.

    Fix: Do several short calculations on payouts, spreads and tranche losses until each takes under a minute.

Last-day revision: Credit Derivatives

  • A CDS buyer pays a periodic spread and receives a payment if a credit event occurs.
  • The protection buyer is short credit risk on the reference entity (gains if credit quality worsens); the seller is long credit risk (earns the spread, bears the loss).
  • Payout on default = notional × (1 − recovery rate), under standard settlement.
  • Approximate spread = annual default probability × (1 − recovery rate); this is a simplification.
  • A higher recovery rate lowers the implied default probability for a given spread.
  • A credit index is a standardized basket of single-name CDS.
  • In a CDO, losses hit the equity tranche first, then mezzanine, then senior.
  • Higher default correlation raises the chance of very large portfolio losses, which hurts senior tranches.
  • Equity tranches usually gain value as default correlation rises, because the chance of few or no defaults increases; senior tranches lose value.
  • A credit-linked note embeds a CDS in a bond and substantially reduces counterparty risk for the protection buyer, since the seller funds the note upfront and the cash collateralizes the obligation. The risk is not fully removed.
  • Wrong-way risk arises when exposure to a counterparty rises as its credit quality falls.
  • Basis risk is the gap between a CDS spread and a comparable bond spread, or between the hedge and the exposure.

Credit Derivatives practice questions

Credit Derivatives in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Credit Derivatives: frequently asked questions

What is a credit default swap in simple terms?

A CDS is insurance-like protection on a bond or loan issuer. The buyer pays a regular spread, and if a credit event occurs the seller compensates the buyer for the loss. The seller does not need to own the underlying debt.

How do I get an approximate default probability from a CDS spread?

Use the credit triangle: spread ≈ default probability × (1 − recovery rate). So default probability ≈ spread ÷ (1 − recovery rate). For example, a 120 bps spread with 40% recovery gives about 1.2% ÷ 0.6 = 2% a year. It is an approximation, not an exact price.

Which topics in this chapter should I study first?

Start with CDS mechanics, then valuation and pricing. Indices, CDOs and other structured products build on them, and the risk topic works best at the end when you can apply it to each product.

Is this chapter mostly calculations or concepts?

It is a mix. You should expect some short calculations on payouts, spreads and tranche losses, and conceptual or case-style questions on correlation, hedge effectiveness and counterparty risk. Prepare for both.