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CFA Level I · CFA Level I Exam · Simulation of Financial Asset Prices and Returns

A risk manager uses historical simulation to estimate the one-day value at risk of a portfolio. Compared with a Monte Carlo approach based on a fitted normal distribution, historical simulation most likely:

Historical simulation uses actual past returns, so it can capture observed fat tails and skewness without assuming a distribution. Its weakness is dependence on the sample period chosen, but it needs no parametric assumption, unlike a Monte Carlo model built on a fitted normal.

  1. Arequires an assumed parametric return distribution.
  2. Buses actual past returns, so it can capture observed fat tails.Correct
  3. Cproduces results independent of the sample period chosen.

Explanation

Historical simulation resamples observed returns, so it reflects real skewness and fat tails without a distributional assumption. Its results do depend on the sample window, and it needs no parametric assumption.

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