hard · FRM Part 2 Market Risk

Under a bivariate Gaussian copula, Kendall's tau relates to the copula's linear correlation parameter ρ via τ = (2)/(π)arcsin(ρ). A risk manager estimates the empirical Kendall's tau between two credit spread indices at τ = 0.50.

To calibrate a Gaussian copula consistent with this rank-dependence estimate, what value of ρ should be used?

  1. 0.333
  2. 0.518
  3. 0.707
  4. 0.500

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