Study guide
8.5 Credit Default Swaps (CDS): Mechanics, Pricing & Trading Strategies
CFA Level 2 Chartered Financial Analyst
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8.5 Credit Default Swaps (CDS): Mechanics, Pricing & Trading Strategies
Key Takeaways Explain This Topic AI
A Credit Default Swap (CDS) is a bilateral contract where the protection buyer pays a periodic fixed coupon to the protection seller in exchange for a contingent payment upon a defined Credit Event (Bankruptcy, Failure to Pay, Restructuring).
Following post-crisis market standardization, CDS contracts trade with standardized coupons (100 bps for investment grade, 500 bps for high yield), with price differences settled via an Upfront Premium: Upfront Premium ≈ \approx ≈ (CDS Spread - Fixed Coupon) × \times × Effective Spread Duration.
The standard price of a CDS per 100 par is calculated as: Price = 100 - Upfront Premium (%); under modern Creditex auction cash settlement, the seller pays (100% - Recovery Rate).
Hazard rate ( λ \lambda λ ) determines the survival probability S t = ( 1 − λ ) t ≈ e − λ t S_t = (1 - \lambda)^t \approx e^{-\lambda t} S t = ( 1 − λ ) t ≈ e − λ t ; the expected credit loss in period t equals S t − 1 × λ × ( 1 − R R ) S_{t-1} \times \lambda \times (1 - RR) S t − 1 × λ × ( 1 − RR ) .
Key CDS trading strategies include directional credit bets, CDS-cash basis trading (Basis = CDS Spread - Z-spread; negative basis exploited by buying cash bond and buying CDS), and curve flattener/steepener trades.
Last updated: August 2026
8.5 Credit Default Swaps (CDS): Mechanics, Pricing & Trading Strategies
Core Insight: Credit Default Swaps (CDS) are the preeminent derivative instrument for transferring, pricing, and managing credit risk. At CFA Level II, candidates must master standardized CDS contract conventions, upfront premium mathematics, hazard rate default probabilities, and sophisticated relative-value trading strategies including basis trading and curve positioning .
- 1. CDS Contract Mechanics & ISDA Conventions
- The Basic CDS Structure
A Credit Default Swap (CDS) is a bilateral derivative contract transferring the credit exposure of a reference entity from the Protection Buyer to the Protection Seller . Periodic Fixed Coupon (e.g., 100 bps / 500 bps)
- +-----------------------+ -----------------------------------------------------> +-----------------------+
- | | | |
- | Protection Buyer | | Protection Seller |
- | (Short Risk) | <----------------------------------------------------- | (Long Risk) |
- +-----------------------+ Contingent Payoff upon Credit Event (100% - RR) +-----------------------+
Protection Buyer: Pays periodic coupon payments (the CDS spread) and receives a contingent payoff if a credit event occurs (economically equivalent to being short the credit risk / buying insurance).
Protection Seller: Receives periodic coupon payments and agrees to make the buyer whole if a credit event occurs (economically equivalent to owning the underlying bond / long credit risk).
Reference Entity vs. Reference Obligation: The reference entity is the legal corporate or sovereign issuer. The reference obligation is the specific debt instrument designated to establish seniority and deliverability (typically senior unsecured debt).
Defined ISDA Credit Events
Under International Swaps and Derivatives Association (ISDA) master agreements, a CDS payoff is triggered only by defined credit events:
Bankruptcy: The reference entity files for formal bankruptcy, insolvency, or liquidation.
Failure to Pay: The borrower fails to make contractual principal or interest payments after the expiration of a specified grace period (typically exceeding $1 million threshold).
Restructuring: Mandatory restructuring of debt terms (principal haircut, coupon reduction, or maturity extension) that harms bondholders. ISDA recognizes four restructuring conventions:
Complete Restructuring (CR): Any restructuring qualifies; deliverable bonds up to 30 years.
Modified Restructuring (MR - US Standard historically): Restructuring qualifies; deliverable debt capped at 30 months post-restructuring.
Modified Modified Restructuring (Mod-Mod R - European Standard): Deliverable debt capped at 60 months for restructured obligations and 30 months for other obligations.
No Restructuring (XR - Modern US IG Standard): Restructuring is excluded as a credit event entirely.
Settlement Mechanisms: Physical vs. Cash Auction
Physical Settlement: The protection buyer delivers defaulted physical bonds of the reference entity to the seller in exchange for 100% par value in cash .
Cash Settlement (Modern Market Standard): Established via an electronic Creditex / ISDA Credit Event Auction . Dealers submit two-way executable quotes to determine the post-default recovery price ( R R RR RR ). The protection seller pays the buyer: Contingent Cash Payoff = Notional Principal × ( 100 % − Auction Recovery Rate ) \text{Contingent Cash Payoff} = \text{Notional Principal} \times (100\% - \text{Auction Recovery Rate}) Contingent Cash Payoff = Notional Principal × ( 100% − Auction Recovery Rate )
- 2. CDS Pricing, Valuation & Upfront Premium Mathematics
- Post-Big Bang Standardized Coupons
Following the 2009 "Big Bang" and "Small Bang" regulatory reforms, all standardized CDS contracts trade with fixed, standardized annual coupons:
Investment Grade (IG) Index & Single-Names: 100 bps (1.00%) per annum.
High Yield (HY) Index & Single-Names: 500 bps (5.00%) per annum.
Upfront Premium Determination
Because an issuer's true market credit spread (the CDS Spread ) rarely equals exactly 100 bps or 500 bps, counterparties exchange an Upfront Premium at trade inception to balance the present value of the Protection Leg and Premium Leg: Upfront Premium = PV of Protection Leg − PV of Premium Leg \text{Upfront Premium} = \text{PV of Protection Leg} - \text{PV of Premium Leg} Upfront Premium = PV of Protection Leg − PV of Premium Leg Upfront Premium ($) ≈ ( CDS Spread − Fixed Coupon ) × Effective Spread Duration × Notional \text{Upfront Premium (\$)} \approx (\text{CDS Spread} - \text{Fixed Coupon}) \times \text{Effective Spread Duration} \times \text{Notional} Upfront Premium ($) ≈ ( CDS Spread − Fixed Coupon ) × Effective Spread Duration × Notional Upfront Premium (% of Par) ≈ ( CDS Spread − Fixed Coupon ) × Effective Spread Duration \text{Upfront Premium (\% of Par)} \approx (\text{CDS Spread} - \text{Fixed Coupon}) \times \text{Effective Spread Duration} Upfront Premium (% of Par) ≈ ( CDS Spread − Fixed Coupon ) × Effective Spread Duration Price of CDS per 100 Par = 100 − Upfront Premium (% of Par) \text{Price of CDS per 100 Par} = 100 - \text{Upfront Premium (\% of Par)} Price of CDS per 100 Par = 100 − Upfront Premium (% of Par)
If CDS Spread > Fixed Coupon \text{CDS Spread} > \text{Fixed Coupon} CDS Spread > Fixed Coupon : The contract is trading "above par." The protection buyer must pay an upfront cash premium to the seller (positive upfront).
If CDS Spread < Fixed Coupon \text{CDS Spread} < \text{Fixed Coupon} CDS Spread < Fixed Coupon : The contract is trading "below par." The protection seller must pay an upfront cash premium to the buyer (negative upfront).
Hazard Rate and Survival Probability Formulation
Assuming a constant hazard rate (conditional default intensity λ \lambda λ ): Survival Probability to Year t : S t = ( 1 − λ ) t ≈ e − λ t \text{Survival Probability to Year } t: \quad S_t = (1 - \lambda)^t \approx e^{-\lambda t} Survival Probability to Year t : S t = ( 1 − λ ) t ≈ e − λ t Unconditional Default Probability in Year t : P D t = S t − 1 × λ = ( 1 − λ ) t − 1 × λ \text{Unconditional Default Probability in Year } t: \quad PD_t = S_{t-1} \times \lambda = (1 - \lambda)^{t-1} \times \lambda Unconditional Default Probability in Year t : P D t = S t − 1 × λ = ( 1 − λ ) t − 1 × λ Expected Loss in Year t = S t − 1 × λ × ( 1 − R R ) \text{Expected Loss in Year } t = S_{t-1} \times \lambda \times (1 - RR) Expected Loss in Year t = S t − 1 × λ × ( 1 − RR ) Approximate CDS Spread ≈ λ × ( 1 − R R ) = Hazard Rate × LGD \text{Approximate CDS Spread} \approx \lambda \times (1 - RR) = \text{Hazard Rate} \times \text{LGD} Approximate CDS Spread ≈ λ × ( 1 − RR ) = Hazard Rate × LGD
- 3. Worked Upfront Premium & Cash Settlement Numerical Model
- Scenario 1: Initiating a 5-Year High-Yield CDS Contract
An asset manager purchases $10,000,000 notional of 5-year CDS protection on Titan Corp.
- Titan Corp Market CDS Spread: 680 bps 680 \text{ bps} 680 bps ( 0.0680 0.0680 0.0680 )
- Standardized HY Fixed Coupon: 500 bps 500 \text{ bps} 500 bps ( 0.0500 0.0500 0.0500 )
- Effective Spread Duration: 4.40 years 4.40 \text{ years} 4.40 years
Step 1: Calculate Upfront Premium (% and $) Upfront Premium (%) ≈ ( 0.0680 − 0.0500 ) × 4.40 = 0.0180 × 4.40 = + 0.0792 = + 7.92 % \text{Upfront Premium (\%)} \approx (0.0680 - 0.0500) \times 4.40 = 0.0180 \times 4.40 = +0.0792 = \mathbf{+7.92\%} Upfront Premium (%) ≈ ( 0.0680 − 0.0500 ) × 4.40 = 0.0180 × 4.40 = + 0.0792 = + 7.92% Upfront Cash Paid by Buyer = $ 10 , 000 , 000 × 7.92 % = $ 792 , 000 \text{Upfront Cash Paid by Buyer} = \$10,000,000 \times 7.92\% = \mathbf{\$792,000} Upfront Cash Paid by Buyer = $10 , 000 , 000 × 7.92% = $792 , 000
Step 2: Calculate Standard CDS Price Price of CDS per 100 Par = 100 − 7.92 = 92.08 \text{Price of CDS per 100 Par} = 100 - 7.92 = \mathbf{92.08} Price of CDS per 100 Par = 100 − 7.92 = 92.08
Scenario 2: Credit Event & Auction Cash Settlement
Two years later, Titan Corp defaults on its senior unsecured notes. An ISDA Creditex auction determines the final recovery rate to be 35.00 % 35.00\% 35.00% ( R R = 35 % RR = 35\% RR = 35% ).
Loss Given Default: L G D = 100 % − 35 % = 65.00 % LGD = 100\% - 35\% = 65.00\% L G D = 100% − 35% = 65.00%
Contingent Cash Payoff to Protection Buyer: Cash Settlement Payoff = $ 10 , 000 , 000 × ( 100 % − 35 % ) = $ 10 , 000 , 000 × 65.00 % = $ 6 , 500 , 000 \text{Cash Settlement Payoff} = \$10,000,000 \times (100\% - 35\%) = \$10,000,000 \times 65.00\% = \mathbf{\$6,500,000} Cash Settlement Payoff = $10 , 000 , 000 × ( 100% − 35% ) = $10 , 000 , 000 × 65.00% = $6 , 500 , 000
- 4. Advanced CDS Trading Strategies & Market Applications
- Summary of Professional CDS Trading Strategies
Strategy Trade Structure Market View / Objective Profit Driver
Naked Protection Purchase Buy CDS protection Bearish on credit quality of reference entity Spread widens or entity defaults
Naked Protection Sale Sell CDS protection Bullish on credit quality; generate premium income Spread tightens or entity survives
Single-Name Cash Bond Hedge Long physical cash bond + Buy CDS protection Eliminate issuer credit risk while earning liquidity spread Preserves capital in default
CDS Index Macro Hedging Buy CDX IG / iTraxx Europe protection Hedge broad corporate credit portfolio against systemic recession Index spreads widen rapidly
Negative Basis Trade Buy Cash Bond + Buy CDS Protection Exploits Basis = CDS Spread − Z-spread < 0 \text{Basis} = \text{CDS Spread} - \text{Z-spread} < 0 Basis = CDS Spread − Z-spread < 0 Earns net positive carry; basis widens back to zero
Positive Basis Trade Short Cash Bond + Sell CDS Protection Exploits Basis = CDS Spread − Z-spread > 0 \text{Basis} = \text{CDS Spread} - \text{Z-spread} > 0 Basis = CDS Spread − Z-spread > 0 Locks in arbitrage as basis compresses to zero
Curve Flattening Trade Buy Short-Term CDS + Sell Long-Term CDS Expects near-term credit distress to surge relative to long term Short-term spread widens faster than long-term spread
Curve Steepening Trade Sell Short-Term CDS + Buy Long-Term CDS Expects near-term survival but long-term deterioration Long-term spread widens relative to short-term spread
- 5. CDS-Cash Basis Trading Mechanics
- The Basis Definition
The CDS-Cash Basis measures the pricing discrepancy between the derivative CDS spread and the cash bond Z-spread for the same issuer and maturity: Basis = CDS Spread − Bond Z-Spread \text{Basis} = \text{CDS Spread} - \text{Bond Z-Spread} Basis = CDS Spread − Bond Z-Spread Under No-Arbitrage: CDS Spread = Bond Z-Spread (Basis = 0)
In Dislocated Markets:
- Negative Basis (CDS < Z-spread): Cash bond is underpriced relative to CDS. Strategy: Long Bond + Long CDS.
- Positive Basis (CDS > Z-spread): Cash bond is overpriced relative to CDS. Strategy: Short Bond + Short CDS.
Executing the Negative Basis Trade
Market Condition: A corporate bond trades at a Z-spread of 240 bps 240 \text{ bps} 240 bps , while its 5-year CDS trades at 180 bps 180 \text{ bps} 180 bps ( Basis = 180 − 240 = − 60 bps \text{Basis} = 180 - 240 = -60 \text{ bps} Basis = 180 − 240 = − 60 bps ). The cash bond is cheap relative to CDS.
Portfolio Construction:
Buy the physical corporate bond yielding benchmark + 240 bps + 240 \text{ bps} + 240 bps .
Buy 5-year CDS protection paying 180 bps 180 \text{ bps} 180 bps .
Arbitrage Return / Positive Net Carry: Net Positive Carry = 240 bps − 180 bps = + 60 bps \text{Net Positive Carry} = 240 \text{ bps} - 180 \text{ bps} = +60 \text{ bps} Net Positive Carry = 240 bps − 180 bps = + 60 bps The investor collects 60 bps 60 \text{ bps} 60 bps of net riskless spread while default risk is fully hedged by the CDS contract. As market liquidity normalizes and the basis converges to zero, the trade generates capital appreciation.