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I have multiple lates on one account and am wondering if its closed if they will still have the same scoring impact?
Closing an account does not negate the fact of prior derogs, and does not even prevent the creditor from continuing to report additional delinquencies after closing.
Closing is primarily used on revolving accounts to prevent the consumer from increasing an already delinquent debt by making further charges. It does not affect continued billing of debt, and reporting of delinquencies based on late or lacking payments of the billed debt.
The closure can in fact hurt your score still further, e.g. in the case of a credit card with a positive balance.
Yes, the same adverse scoring impact will be true if you close the account.