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I think CFCs (Consumer Finance Companies) can contribute to reducing your FICO score, but so long as it's never late or overlimit, then it's a positive TL that is helping you.
The $64K question, and one to which I do not know the answer, is how much it helps and how much it hurts? 25 points up, then 10 points down, for a net 15 points up? I dunno. Just spitballing.
This would be one for the folks from FICO.
Applying for and obtaining "enough" CCs and installment debt, then closing this account and letting it lapse off your CRs would be the only way to get rid of the harm done by a CFC.
I find it more than a little bizarre that a collection, paid or not, goes away 7 years after it goes into default. But a CFC could be obtained, always paid on time or early over a period of several years, then closed remain for another 10 years, and all that time it's costing one FICO points. There's no disclaimer provided when obtaining a loan from a CFC.
It's completely Gump. You nevah know what you gonna git.