I depends on what you mean. As long as it's signed, it's valid. However, the valid document is usually not of use until recorded.
This answer does not form an attorney-client relationship, and is not legal advice. Only an attorney that has agreed to represent you may give you advice specific to your situation.
Please clarify the purpose of the affidavit you are referencing. Is it intended to use for a real estate transfer or simply to document that someone is now serving as the authorized successor trustee? If for real estate, recording is customary. If just to provide documentation to a bank or other party with regard to trustee succession, such would often not be recorded.
Best of luck!
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This type of document is usually used for two different purposes. 1. To put the public on notice that, where real estate is owned by a trust, one trustee has died and there is a successor trustee who is authorized to convey title to a third party. If that is what you're inquiring about, the affidavit needs to be recorded before it is going to be of any use or value. 2. To notify a financial institution that one trustee has died and there is a successor trustee who is authorized to make investment, make deposits, take withdrawals, etc. If that is what you're inquiring about, the affidavit needs to be delivered to the financial institution before it is going to be of any use or value. So, based on the info you've provided, I don't understand why it matters to you. Sorry. Provide more info, and I can give you a better answer.
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