Skip to content

FRM Exam Part II · Country Risk: Determinants, Measures, and Implications

Sovereign CDS Spreads and Bond Spreads as Country Risk Measures

Updated 11 October 2026 · Fact-checked

A market-based default spread is the extra yield investors demand on a government's bond over a risk-free bond in the same currency, or the price of a sovereign CDS. Default spread = sovereign yield − risk-free yield. Markets update it daily, so it reacts faster than ratings, but it also carries liquidity and risk-premium noise.

Understand Market-Based Measures: Sovereign CDS and Bond Spreads

Country risk is the risk that a government, or borrowers in that country, fail to pay. Rating agencies give a letter grade. Markets give a price. Two market prices are used most: the yield on the sovereign's bonds and the spread on its credit default swap (CDS).

The bond approach works like this. Take a government bond issued in a hard currency such as USD or EUR. Subtract the yield on a default-free bond of the same currency and similar maturity, for example a US Treasury for USD. The difference is the default spread (also called the sovereign spread). It pays investors for expected default loss plus a risk premium.

The CDS approach is more direct. A sovereign CDS is insurance against a government default. The annual spread, quoted in basis points, is the price of that protection. It needs no risk-free benchmark and is tied to a standard contract and maturity, often five years. That makes CDS spreads easy to compare across countries.

Market measures differ from ratings in three ways. They update continuously. They include the market's risk appetite, not only default expectations. And they can be distorted by thin trading, liquidity, and the cost of the protection seller's own credit risk. A common practical use is to map ratings to average spreads, then use the market spread of a country to estimate its default spread when a rating is missing or stale.

The exam tests whether you can compute the spread, interpret it, and name the limits. Remember that the bond spread must use the same currency and similar maturity as the benchmark, or the result mixes default risk with inflation and currency effects.

Key formulas to remember

Default spread from bonds
Default spread = Yield on sovereign bond − Yield on risk-free bond (same currency, similar maturity)
Use a hard-currency sovereign bond against a matching Treasury or Bund. Do not compare across currencies.
Approximate annual default loss from spread
Spread ≈ λ × (1 − R)
λ is annual risk-neutral default probability, R is recovery rate. This is a rule of thumb, not exact.
Implied default probability
λ ≈ Spread ÷ (1 − R)
Gives a risk-neutral probability, usually higher than the real-world probability.
Basis point conversion
1 bp = 0.01% = 0.0001
Convert CDS quotes before using them in formulas.
CDS-bond basis
Basis = CDS spread − Bond default spread
A non-zero basis points to liquidity, funding, or contract differences.

How to solve Market-Based Measures: Sovereign CDS and Bond Spreads questions

Use this order for any question on sovereign CDS or bond spreads.

  1. 1Identify what is given: bond yields, CDS spread in bp, recovery rate, or a rating.
  2. 2Check currency and maturity. The risk-free benchmark must match the sovereign bond.
  3. 3Subtract benchmark yield from sovereign yield to get the bond default spread.
  4. 4Convert basis points to decimals before any probability calculation.
  5. 5If asked for default probability, divide the spread by (1 − recovery rate).
  6. 6Compare with the rating-based spread or the CDS spread and compute any difference or basis.
  7. 7State the interpretation: risk-neutral, includes risk premium and liquidity effects.
  8. 8Pick the option that matches both the number and the correct caveat.

Quickest way: Spread, convert, divide

When to use it: Use when the question gives yields or a CDS quote and asks for a spread or implied default probability.

  1. Spread = sovereign yield − matching risk-free yield.
  2. Change bp to a percent: 150 bp = 1.50%.
  3. Probability ≈ spread ÷ (1 − R).
  4. Eliminate options that ignore currency mismatch or call the result a real-world probability.

Common mistakes in Market-Based Measures: Sovereign CDS and Bond Spreads

  • Subtracting a local-currency risk-free yield from a foreign-currency sovereign yield.

    Students focus on the subtraction and ignore the currency of the bond.

    Fix: Always match currency and maturity. A USD bond pairs with a US Treasury.

  • Treating the implied default probability as the real-world probability.

    The formula looks like a plain probability.

    Fix: Say it is risk-neutral. It includes a risk premium, so it usually overstates real-world default.

  • Forgetting to divide by (1 − R).

    Students read the spread as the default probability.

    Fix: Spread ≈ λ × (1 − R), so λ = spread ÷ (1 − R).

  • Mixing up bp and percent.

    CDS is quoted in bp, yields in percent.

    Fix: Convert first. 250 bp = 2.50% = 0.025.

  • Assuming CDS spreads are always cleaner than bond spreads.

    CDS looks like a pure default price.

    Fix: Remember limits: thin markets, counterparty risk, contract terms, and demand for hedging unrelated to default.

  • Saying market spreads and ratings always agree.

    Both are seen as risk measures.

    Fix: Ratings move slowly. Markets move fast and add risk-appetite effects, so they can diverge.

Worked examples

Example 1

A USD-denominated 10-year bond of Country X yields 6.40%. A 10-year US Treasury yields 4.15%. Recovery rate is 40%. Find the default spread and the approximate annual risk-neutral default probability.

Show the solution
  1. Default spread = 6.40% − 4.15% = 2.25%, or 225 bp.
  2. Convert: 2.25% = 0.0225.
  3. λ ≈ 0.0225 ÷ (1 − 0.40) = 0.0225 ÷ 0.60.
  4. λ = 0.0375, or 3.75%.

Answer: Default spread is 2.25% (225 bp); implied risk-neutral annual default probability is about 3.75%.

Example 2

Country Y has a 5-year sovereign CDS spread of 180 bp. Its 5-year USD bond yields 5.60% and the matching US Treasury yields 3.50%. Find the CDS-bond basis and say what it suggests.

Show the solution
  1. Bond default spread = 5.60% − 3.50% = 2.10%, or 210 bp.
  2. CDS spread = 180 bp.
  3. Basis = CDS − bond spread = 180 − 210 = −30 bp.
  4. A negative basis means the bond spread is wider than CDS. Possible causes are bond illiquidity or funding costs, or lower demand for CDS protection.

Answer: The basis is −30 bp: CDS is 30 bp tighter than the bond spread, which points to liquidity or funding effects rather than a clear difference in default risk.

Exam tips

  • Check currency and maturity before subtracting yields. This is a favourite trap.
  • Know the direction of the main limits: market spreads are timely but noisy; ratings are stable but slow.
  • When a question gives a recovery rate, expect the spread ÷ (1 − R) step.
  • Describe implied probabilities as risk-neutral, not real-world.
  • If an option says CDS markets are always liquid for all sovereigns, reject it.

Practice questions from Country Risk: Determinants, Measures, and Implications

Market-Based Measures: Sovereign CDS and Bond Spreads in other exams

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

Market-Based Measures: Sovereign CDS and Bond Spreads: frequently asked questions

How do I calculate default spread from a sovereign bond yield?

Subtract the yield on a risk-free bond of the same currency and similar maturity from the sovereign bond yield. For a USD bond, use a US Treasury. The result is the default spread, usually quoted in basis points.

How does a sovereign CDS spread differ from a rating-based default spread?

A CDS spread is a live market price of default protection and changes daily. A rating-based spread takes the average spread for a rating class, so it moves only when the rating changes. CDS also contains risk-appetite and liquidity effects.

What are the limits of the sovereign CDS market?

Many sovereign CDS markets are thin, so prices can be noisy. Spreads reflect hedging demand, counterparty risk and contract terms, not just default expectations. Some countries have no active CDS at all.

Is a spread-implied default probability real-world?

No. It is risk-neutral because the spread includes a premium for bearing default risk. Real-world default probabilities are usually lower.