FRM Part II · FRM Exam Part II · Financial Correlation Modeling - Bottom-Up Approaches
A bank hedges a mezzanine CDO tranche by delta-hedging with index credit default swaps. After a market-wide spread widening, base correlation for the equity tranche falls sharply as a few names deteriorate idiosyncratically. Which risk is the bank most exposed to?
The bank is most exposed to correlation risk and idiosyncratic default risk. A spread-based delta hedge using index CDS does not offset changes in correlation or name-specific jumps, so the mezzanine tranche can lose value despite being hedged.
- AInterest rate risk because discount factors change
- BCorrelation risk and idiosyncratic default risk that a spread-delta hedge does not captureCorrect
- CModel risk eliminated by dynamic hedging
- DPure recovery rate risk with no correlation effect
Explanation
A delta hedge against index spreads covers parallel spread moves but not changes in correlation or name-specific jumps. When correlation falls, mezzanine tranche value changes in ways the hedge does not offset, and idiosyncratic defaults create gap risk. Dynamic hedging does not remove model risk.
Did you get it right without looking?
One question tells you little. A timed set on Financial Correlation Modeling - Bottom-Up Approaches shows your real accuracy, how long you take and where you lose marks.
More Financial Correlation Modeling - Bottom-Up Approaches questions
- In a one-factor Gaussian copula, each firm's latent variable is x_i = sqrt(rho)*M + sqrt(1-rho)*Z_i, with M and Z_i independent standard nor…
- In the Ornstein-Uhlenbeck-type mean-reverting correlation process d(rho) = a*(m - rho)*dt + s*dW, which effect results from increasing the s…
- In a one-factor Gaussian copula with correlation rho = 0.25, a firm has a 5-year cumulative default probability of 2.28%, so N^-1(0.0228) = …
- A bank's analyst estimates the correlation of daily returns between two assets using a rolling window and finds that correlation is much hig…
- A structured credit desk prices a CDO tranche with a Gaussian copula and notes that the Gaussian copula has zero tail dependence. Which impl…
- A risk manager reviews a synthetic CDO tranche whose value depends on the default correlation among reference entities. Under a one-factor G…