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CDS Option

Also known as: Credit swaption, Payer swaption on CDS, Receiver swaption on CDS

An option on the price of credit protection — the instrument that lets you be long the fear of a default without paying for it every day.

3 min read · 613 words

1 · SnapshotThe one idea to remember
Key intuition: a CDS bleeds premium while you wait. An option pays for the waiting in advance and caps what the waiting can cost you.
2 · BeginnerWhat is it, really?

A credit default swap is insurance against a borrower failing. You pay a premium each quarter and get paid if the borrower defaults.

A CDS option is an option on that insurance. It gives you the right, on one future date, to enter a CDS at a spread agreed today.

There are two directions, and their names come from the swap rather than the credit. A payer gives you the right to pay the premium — you want it when spreads widen, because you have locked in cheap protection. A receiver gives you the right to receive it — you want it when spreads tighten.

Why bother instead of buying the CDS itself? Because protection costs money every quarter whether or not anything happens. An option costs once, up front, and cannot lose more than that.

Asset class
Credit derivatives
Instrument type
Option on a credit default swap or index
Traded
OTC, mostly on indices
Typical users
Credit hedge funds, macro funds, dealer desks

Which risks decide the outcome

Not how risky this is, and not a rating — there is deliberately no total. It says which of five failure modes drives what happens here, in the same order on all 129 products so they can be compared. This publication's own reading; see the notice below.

  • Marketdecides it
  • Creditmatters
  • Liquiditybarely applies
  • Fundingmatters
  • Operationalbarely applies

What decides it here. The spread and its volatility decide it. Liquidity is the practical constraint: single-name credit options are thin, which is why almost all of the trading is on indices.

What the five mean, and which one decides where →

3 · IntermediateHow it works in practice

Why the index versions dominate

Options on single names exist and are thin. Options on CDS indices are where the liquidity is, for the same reason index CDS is more liquid than the names inside it: standardised terms, standardised dates, and a hedge that does not require a view on any one company.

Knock-out, and why it matters

Index options usually knock out on a credit event in one constituent. Single-name options often do not. This is not a detail: it decides whether the option pays in the scenario most buyers think they are buying it for.

What the price is telling you

  • Implied credit volatility — how uncertain the market is about the spread, not about the direction.
  • The skew — payers usually cost more than the equivalent receivers, because widening happens faster than tightening.
  • The term structure — short-dated payer options spike before events with a date on them.
Worked example: a portfolio holds credit and fears a repricing in three months. Buying protection outright costs premium every quarter regardless. A three-month payer option costs once, expires worthless if nothing happens, and pays if the spread gaps — which is the shape of what was actually feared.
4 · AdvancedPricing & valuation

Pricing

Quoted in spread volatility and priced in the Black framework on the forward spread, with the risky annuity as numeraire:

$$ V_{payer} \;=\; A(0,T)\left[ F\,\Phi(d_1) - K\,\Phi(d_2)\right], \qquad d_{1,2} = \frac{\ln(F/K) \pm \tfrac{1}{2}\sigma^2 T}{\sigma\sqrt{T}} $$
What the symbols mean
  • Va value
  • ythe yield to maturity
  • rthe interest rate, per year
  • Tmaturity, in years
  • Fthe forward or futures price
  • Phithe normal distribution's cumulative function

with \(F\) the forward spread and \(A\) the annuity of the underlying CDS. The choice of numeraire is the whole subtlety: discounting under the risky annuity is what makes the forward spread a martingale, and getting it wrong misprices exactly the long-dated positions where it matters.

The front-end protection problem

For a non-knock-out single-name option, a default before expiry leaves the buyer holding an option on a defaulted name. Market convention adds front-end protection so the payer buyer is compensated for that period, which makes the option's value the sum of a spread option and a short-dated default claim — two different risks in one price.

Why this is the cleanest way to be long a crisis

Outright protection is a negative-carry position that must be funded through long quiet periods, and most holders are stopped out by the carry rather than by the thesis. A payer option converts an ongoing cost into a known one. The trade-off is that it needs the move to happen inside the window, which is why the sizing question here is about the calendar rather than about the notional.

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: the payer skew is one of the few forward-looking credit indicators that is not simply the spread itself — it says how disorderly the market expects the repricing to be.

Now say it back

Close the page and give CDS Option in four sentences. It takes a minute and it is the only way to find out whether reading it was enough.

  1. Who wants what — two parties wanted opposite things badly enough to write it down.
  2. What the contract obliges, and when — not the payoff; the obligation.
  3. Where the money comes from — name the source, or you have described a hope.
  4. What makes it lose — the ordinary way, not the dramatic one.

Do it with a clock → · why these four