A time deposit can have no maturity date if it requires advance notice of withdrawal. We used to call them "time deposit open accounts" and they looked and smelled like savings accounts, but withdrawals had to be preceded by a notice (at the time, it was 90 days, so you can imagine how long ago it was). See 204.2(c)(1)(i)(C).
John S. Burnett
Fighting for Compliance since 1976
Bankers' Threads User #8