Credit Default Swap Calculation In Excel

Calculate CDS spreads and premiums with Excel-like precision. Enter your parameters below to analyze credit risk exposure.

Comprehensive Guide to Credit Default Swap (CDS) Calculation in Excel

A Credit Default Swap (CDS) is a financial derivative that allows an investor to “swap” or offset their credit risk with that of another investor. In essence, a CDS contract provides insurance against the default of a debt instrument (typically a bond or loan). Understanding how to calculate CDS spreads and premiums in Excel is crucial for credit analysts, risk managers, and fixed income traders.

Fundamental CDS Concepts

Before diving into Excel calculations, it’s essential to grasp these core concepts:

• Notional Amount: The face value of the reference obligation being insured
• CDS Spread: The annual premium paid by the protection buyer to the protection seller, expressed in basis points (bps)
• Maturity: The term of the CDS contract (typically 1, 3, 5, 7, or 10 years)
• Recovery Rate: The percentage of the notional amount expected to be recovered in case of default (typically 20-40% for senior unsecured debt)
• Credit Event: The trigger event (e.g., bankruptcy, failure to pay) that activates the CDS contract

Step-by-Step CDS Calculation in Excel

Let’s walk through the process of building a CDS calculator in Excel:

1. Set Up Your Inputs:
   • Notional Amount (Cell B2)
   • CDS Spread in bps (Cell B3)
   • Maturity in years (Cell B4)
   • Recovery Rate as percentage (Cell B5)
   • Day Count Convention (Cell B6 – use dropdown)
   • Payment Frequency (Cell B7 – use dropdown)
2. Calculate Annual Premium Payment:

   The basic formula for annual premium is:

   =B2 * (B3 / 10000)

   This converts the spread from basis points to a decimal (250 bps = 2.5%) and multiplies by the notional amount.

3. Adjust for Payment Frequency:

   For quarterly payments (most common):

   =Annual_Premium / 4

   For semi-annual:

   =Annual_Premium / 2

4. Calculate Total Premium Over Term:

   Multiply the periodic payment by the number of periods:

   =Periodic_Payment * (B4 * Payment_Frequency)

   For 5-year quarterly payments: 5 * 4 = 20 periods

5. Calculate Implied Default Probability:

   The CDS spread implies a market view of default probability. The simplified formula is:

   = (B3 / 10000) / (1 - (B5 / 100))

   This gives the annual default probability. For multi-year, use:

   =1 - EXP(-Implied_Annual_Probability * B4)

6. Calculate Expected Loss:

   The expected loss is the product of default probability, loss given default, and notional:

   =B2 * (1 - (B5 / 100)) * Implied_Default_Probability

Advanced CDS Modeling in Excel

For more sophisticated analysis, consider these enhancements:

• Accretion Adjustment:

  CDS contracts typically have an upfront payment that accrues over time. The accrued amount can be calculated as:

  =Annual_Premium / Payment_Frequency * (Days_Since_Last_Payment / Days_In_Period)

• Curve Construction:

  Build a term structure of default probabilities by bootstrapping from CDS spreads of different maturities. This requires solving for hazard rates that match observed market spreads.

• Jump-to-Default Modeling:

  Implement a reduced-form model where default intensity follows a stochastic process. This requires more advanced Excel techniques or VBA.

• Counterparty Risk:

  Adjust calculations for bilateral counterparty risk using Credit Valuation Adjustment (CVA) formulas.

Maturity	Typical CDS Spread Range (bps)	Implied 5-Year Default Probability	Recovery Rate Assumption
1 Year	50-300	0.5%-3.0%	40%
3 Years	100-500	1.0%-5.0%	40%
5 Years	150-800	1.5%-8.0%	40%
7 Years	200-1000	2.0%-10.0%	35%
10 Years	250-1200	2.5%-12.0%	35%

Excel Functions for CDS Calculations

These Excel functions are particularly useful for CDS modeling:

• YIELD: Calculates the yield on a bond given its price

  =YIELD(settlement, maturity, rate, pr, redemption, frequency, [basis])

• PRICE: Returns the price per $100 face value of a security

  =PRICE(settlement, maturity, rate, yld, redemption, frequency, [basis])

• ACCRINT: Returns the accrued interest for a security

  =ACCRINT(issue, first_interest, settlement, rate, par, frequency, [basis], [calc_method])

• XNPV: Calculates net present value for irregular cash flows

  =XNPV(rate, values, dates)

• XIRR: Calculates internal rate of return for irregular cash flows

  =XIRR(values, dates, [guess])

• NORM.S.DIST: For calculating default probabilities in structural models

  =NORM.S.DIST(z, cumulative)

Common Pitfalls in CDS Calculations

Avoid these frequent mistakes when modeling CDS in Excel:

1. Ignoring Day Count Conventions:

   Different markets use different conventions (Actual/360 vs. 30/360). Always verify which convention applies to your contract.

2. Mismatching Payment Frequencies:

   Most CDS contracts pay quarterly, but some pay semi-annually. Ensure your payment schedule matches the contract terms.

3. Incorrect Recovery Rate Assumptions:

   Recovery rates vary by seniority and collateral. Don’t assume 40% for all obligations.

4. Double-Counting Upfront Payments:

   When calculating total premiums, remember that upfront payments are separate from periodic premiums.

5. Neglecting Accrued Premiums:

   For secondary market trades, accrued premiums since the last payment date must be accounted for.

6. Overlooking Currency Differences:

   If the reference obligation and CDS are in different currencies, you’ll need to account for FX risk.

Validating Your CDS Model

To ensure your Excel CDS calculator is accurate:

• Benchmark Against Market Data:

  Compare your calculated spreads with Bloomberg or Markit CDS pricing.

• Test Edge Cases:
  • Zero recovery rate should imply higher default probability
  • Zero spread should imply zero default probability
  • Very high spreads should approach (1-recovery rate) as probability
• Check Unit Consistency:

  Ensure all inputs are in consistent units (e.g., years vs. days, percentage vs. decimal).

• Verify Day Count Calculations:

  Manually check a few date calculations to ensure your day count convention is applied correctly.

• Compare with Closed-Form Solutions:

  For simple cases, compare your Excel results with theoretical formulas for CDS pricing.

CDS vs. Bond Spreads: Key Differences

Feature	Credit Default Swap (CDS)	Bond Spread
Credit Exposure	Only to reference entity	To issuer + interest rate risk
Liquidity	Generally more liquid for sovereigns	Varies by issue size and issuer
Maturity Flexibility	Standardized tenors (1,3,5,7,10Y)	Fixed at issuance
Recovery Rate	Explicit in calculation	Implicit in yield
Funding Cost	No funding required (derivative)	Requires full principal investment
Credit Event Definition	Standardized (ISDA definitions)	Varies by bond documentation
Short Selling	Easy to establish short credit exposure	Requires repo market access

Regulatory Considerations for CDS

The CDS market is heavily regulated post-2008 financial crisis. Key regulations include:

• Dodd-Frank Act (U.S.):

  Requires most standardized CDS to be cleared through central counterparties (CCPs) and traded on swap execution facilities (SEFs).

• EMIR (European Market Infrastructure Regulation):

  Mandates reporting of all derivative trades to trade repositories and imposes clearing obligations for certain CDS.

• Volcker Rule:

  Restricts banks from proprietary trading in CDS, though market-making and hedging are permitted.

• Basel III:

  Increases capital requirements for CDS positions, particularly for non-cleared trades.

• MiFID II:

  Enhances transparency requirements for CDS trading in Europe.

When building CDS models in Excel, it’s important to consider how regulatory changes might affect:

• Collateral requirements (initial and variation margin)
• Capital charges for the positions
• Reporting obligations
• Eligibility for central clearing

Authoritative Resources on Credit Default Swaps

ISDA CDS Standard Model

The International Swaps and Derivatives Association (ISDA) provides the standard documentation and models for CDS contracts.

Visit ISDA →

Federal Reserve CDS Data

The Federal Reserve Bank of New York publishes comprehensive data on CDS markets and their role in financial stability.

Visit NY Fed →

SEC CDS Regulations

The U.S. Securities and Exchange Commission provides guidance on the regulatory treatment of credit default swaps.

Visit SEC →