hard · Quantitative Finance

Compare the joint crash probability of two assets under a Gaussian copula versus a t-copula with the same correlation ρ.

If the assets are in the far left tail, which statement correctly describes the behavior?

  1. The Gaussian copula will underestimate joint risk because it has zero tail dependence.
  2. The Gaussian copula is more conservative as it assumes fat tails in the dependency structure.
  3. Both copulas provide identical joint probabilities for a given correlation coefficient.
  4. The t-copula will underestimate joint risk as it converges to the normal distribution.

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