yes
You are correct. You can pay off your loan early.
Here is a quick way to determine if you have one or not.
Good Credit (aka A paper) almost always does not carry a pre-payment penalty.
Bad Credit (aka B, C, D paper; non-conforming; sub-prime) usually carries a pre-payment penalty.
You can also look at your closing package which everyone should keep in a strong box.
It will be stated on several documents. You should have an addendum to the NOTE or just look at the Truth in Lending.
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