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I have two new accounts turning 12 months and two turning 6 months old in the next couple weeks. Are these significant thresholds, and should I expect any kind of score bump as a result?
Hard to say, because we don't know the ages of your other accounts.
They might be. FICO has some published language which implies that they might consider the percentage of your accounts that are new. Suppose for a moment that FICO considers an account be new if it is less than 12 months.
If someone's entire list of accounts was five, then the two turning 12 months could cause his % of accounts that are new to go from 80% to 40%, which would help. But if the person had many accounts, then the two turning 12 months might cause only a trivial change in that %.
That's why I said it would be easier to guess if we know the age of your other accounts.
Many people guess that some FICO models define a "new" account to be one < 12 months. The non-FICO LexisNexis model defines a new account to be one that is < 24 months. And of course FICO could define "new" in different ways depending on the scoring factor in question.
The best way to find out if you are about to get a score bump is to wait until the event in question happens and then pull your scores and see. Especially if the event in question is one you have no control over (e.g. your accounts getting older). On the other hand, if a person is anticipating making a choice (e.g. should I pay off my auto loan or not) then asking for guesses as to what might happen is a lot more valuable.