FRM Part II · FRM Exam Part II · Estimating Default Probabilities
A risk manager compares 5-year default probabilities estimated from historical rating-agency data with those implied from CDS spreads and bond yields for the same BBB-rated issuers. The market-implied probabilities are consistently much higher. Which explanation is most consistent with the standard treatment of this finding?
Risk-neutral probabilities implied by CDS spreads and bond yields include risk premia and liquidity compensation, so they exceed real-world historical probabilities. Use risk-neutral estimates for valuing credit instruments and real-world estimates when assessing actual expected losses or scenario analysis.
- AMarket-implied probabilities are real-world estimates and agency data are risk-neutral, so the agency data are biased upward
- BRisk-neutral probabilities embed risk premia and liquidity effects, so they exceed real-world probabilities and suit valuation rather than scenario analysis of actual lossesCorrect
- CRecovery rates in CDS pricing are always set to zero, which mechanically inflates the implied probabilities
- DCDS-implied probabilities are calculated over a shorter horizon than historical probabilities, which accounts for the gap
Explanation
Market-implied (risk-neutral) default probabilities are higher than historical (real-world) ones because investors demand compensation for default risk correlation, bond/CDS liquidity and other premia. Risk-neutral values should be used for pricing and valuation, while real-world values suit estimating actual potential losses. The other options reverse the labels or invent mechanical causes.
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