LIBOR is an index. Actually, it's a series of indexes that are based on the maturities of various inter-bank contracts. LIBOR changes frequently (daily, I think) and is beyond your control. The rate formulas you charge your ARM customers are totally within your control, however. It's up to you to say what index you will use as your base rate and how often you will reset the value of the base rate that will be used to calculate your ARM interest rates. It's also up to you to declare the snapshot date for the value of the index you will use to reset your base rate.
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...gone fishing.