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From 1026.7
The creditor shall furnish the consumer with a periodic statement that discloses the following items, to the extent applicable:
(a) Rules affecting home-equity plans. The requirements of paragraph (a) of this section apply only to home-equity plans subject to the requirements of §1026.40.
(1) Previous balance.
(2) Identification of transactions. An identification of each credit transaction in accordance with §1026.8.
If there is no balance, credit or debit activity during the billing cycle then a statement is not necessary.
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The opinions expressed are mine and they are not to be taken as legal advice.