hard · FRM Part 1

A firm uses an AR(1) model for its inventory levels: x_t = 10 + 0.8 x_t-1 + ε_t.

What is the long-run mean of this process, and how quickly does it revert after a shock?

  1. Mean = 12.5; the process is non-stationary.
  2. Mean = 10; reversion is immediate in the next period.
  3. Mean = 80; the process is a random walk.
  4. Mean = 50; reversion speed is governed by the parameter 0.8.

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