medium · FRM Part 1

A risk practitioner is comparing Monte Carlo simulation to the Delta-Gamma approximation for a complex portfolio of path-dependent options.

What is a primary disadvantage of the Delta-Gamma approach in this scenario?

  1. It is unable to incorporate correlations between different underlying assets.
  2. It requires significantly more computational power than Monte Carlo due to the calculation of second-order derivatives.
  3. It assumes that all options in the portfolio have the same expiration date.
  4. It fails to capture path-dependent features and higher-order moments (like 'speed' or 'color') that Monte Carlo revaluation handles natively.

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