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mean reversion refresher

just a refresher on something i had way wrong.

Quant. AR models

intercept/(1-slope) = mean reverting level.

Anytime the current level is ABOVE the mean reverting level, you should expect the next value to be below the last value.

june2009 Wrote:
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> just a refresher on something i had way wrong.
>
> Quant. AR models
>
> intercept/(1-slope) = mean reverting level.
>
> Anytime the current level is ABOVE the mean
> reverting level, you should expect the next value
> to be below the last value.

If you are asking for confirmation, then that is correct.

NO EXCUSES

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a random walk has a slope equal to 1 (bi)
so random walks have no mean eversting level bo/1-1
therefore non convarience stationary
AR model can not be used
need to first difference

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It should be noted that if b1 is APPROXIMATELY 1, a unit root exists. I've been burned on practice questions where b1 was 0.99.

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