FRM Part II · FRM Exam Part II · Structured Credit Risk
A risk manager is valuing a senior CDO tranche using a risk-neutral approach. Compared with using real-world default probabilities, which feature of the risk-neutral approach explains why its implied tranche spread is higher?
Risk-neutral valuation uses default probabilities that are higher than real-world ones because they embed the risk premium investors demand for bearing systematic default risk. This lifts implied spreads, particularly for senior tranches exposed to market-wide credit stress.
- AIt assumes recoveries are zero in all scenarios
- BIt ignores the correlation among assets in the pool
- CIt uses default probabilities inflated to reflect the risk premium investors demand for bearing systematic default riskCorrect
- DIt discounts at the risk-free rate, so spreads become negative
Explanation
Risk-neutral default probabilities, implied from market spreads, exceed real-world ones because they embed compensation for systematic risk. The risk-neutral approach does not ignore correlation or set recoveries to zero. Discounting at the risk-free rate does not produce negative spreads.
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