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Credit Derivatives

Credit-Linked Note

Also known as: CLN

A bond with a CDS hidden inside: earn an enhanced coupon for carrying someone else's default risk.

3 min read · 563 words

1 · SnapshotThe one idea to remember
Key intuition: CLN = deposit + short CDS in a gift box. The fat coupon is your insurance-selling income; the default clause is the claim you may one day pay.
2 · BeginnerWhat is it, really?

A credit-linked note packages a credit default swap into an ordinary-looking bond. You pay 100 upfront, collect an enhanced coupon, and get your 100 back at maturity — unless a specified "reference entity" (some company or country, not the issuer) suffers a credit event, in which case your principal absorbs the loss.

In other words: you've bought a bond and simultaneously sold default insurance on a third party. The insurance premium is smuggled into your coupon.

CLNs exist because many investors — retail, insurance accounts, some funds — are allowed to buy notes but not to trade derivatives. The note wrapper converts a derivative position into a security they can hold.

Asset class
Credit derivatives (funded)
Instrument type
Structured note embedding CDS
Traded
Issued by banks/SPVs
Typical users
Investors who can't trade CDS directly
3 · IntermediateHow it works in practice

Construction

  • Issuer route: a bank issues the note and books the offsetting CDS itself — you carry two credit risks: reference entity and issuing bank.
  • SPV route: proceeds buy top-quality collateral held in a vehicle; the SPV sells protection. Issuer risk is replaced by collateral risk.
  • Payout on credit event: note redeems early at recovery-linked value (physical delivery of defaulted bonds or cash equivalent).

Flavours

  • Single-name CLNs — one reference entity.
  • Basket / first-to-default (FTD): principal is hit by the first default among several names — much higher coupon, sharply higher risk, priced on correlation.
  • Index-linked and tranche-linked notes: funded versions of index or synthetic-CDO exposure — the format at the heart of significant-risk-transfer (SRT) deals banks now use to free regulatory capital.

What to scrutinise

The reference entity's spread (is the coupon fair for the risk?), the issuer/collateral quality, exact credit-event definitions, and how recovery is determined. The gap between coupon offered and CDS spread observable in the market is the structuring margin — visible only if you look.

Worked example: 5y CLN on a company whose CDS trades at 250bp; funding rate 3%. Fair coupon ≈ 3% + 2.5% = 5.5%; the note offers 5.1% → 40bp/yr is the wrapper's cost. Default in year 3 with 40% recovery: you receive ≈ 40 instead of 100.
4 · AdvancedPricing & valuation

Decomposition pricing

A CLN is priced leg-by-leg:

$$ P_{CLN} = \underbrace{\sum_i c\,\delta_i P(0,t_i)\,Q_{ref}(t_i)\,Q_{iss}(t_i)}_{\text{survival-weighted coupons}} + \underbrace{P(0,T) Q_{ref}(T) Q_{iss}(T)}_{\text{principal}} + \underbrace{\mathbb{E}[\text{recovery legs}]}_{\text{both default paths}} $$
What the symbols mean
  • Pa price, or a present value
  • Cthe price of a call option
  • Lleverage, or a loss given default
  • Nthe normal distribution, or a count
  • cthe coupon rate
  • deltaa small change in whatever follows

Joint survival matters: correlated issuer and reference entity (a bank issuing CLNs on its own country's sovereign, say) compounds into wrong-way risk that naive additive pricing misses — modelled with copulas or common-factor intensities.

First-to-default baskets

FTD protection value grows with the number of names and falls with their correlation: independent names stack hazards (\(\lambda_{FTD} \approx \sum \lambda_i\)), perfectly correlated names collapse to the widest single name. Pricing uses copula simulation over correlated default times:

$$ s_{FTD} \in \big[\max_i s_i,\; \textstyle\sum_i s_i\big] \quad\text{position set by } \rho $$
What the symbols mean
  • Fthe forward or futures price
  • Tmaturity, in years
  • Dduration: how far a bond's cash flows sit in the future
  • rhocorrelation between two things

— the classic instrument for selling correlation.

Regulatory-capital economics (SRT)

Banks issue CLNs referencing their own loan books: investors' principal collateralises first-loss protection, cutting the bank's risk-weighted assets. Pricing balances the investor's required spread against the bank's capital-cost saving — a market that has grown into the main private-credit/bank nexus, watched closely by supervisors.

The formulas above are standard textbook formulations, simplified for teaching. They explain the mechanism — they are not a valuation tool, and they will not reproduce a dealer’s price.

5 · Desk notesHow practitioners think about it
Practitioner note: always reverse-engineer a CLN into (funding + CDS) and price the pieces. If you can't explain the coupon from observable spreads, the difference is what you're paying for the wrapping paper.

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