re: Paid off my last car loan in full

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So to keep the average age of my open accounts from dropping, should I leave like $1 in my student loan account and let it just accumulate interest and keep the account open?

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Eventually the minimum payment will force a payoff.

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I have about $1300 left to pay off, well ahead of schedule, and the age of the loan is about 10 years since I first took out a loan in 2004.

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That could be an issue if that is your oldest credit line. This is why people need to be careful about paying off an canceling all their credit cards - while I'm not saying never do this - the consequence of doing it to your oldest account can be detrimental to a credit score and a future mortgage payment.