Why wouldn't you go with the highest coupon rate on a brokered CD?

These are two possible reasons I suppose: if it's callable and you don't want to take that risk if the minimum quantity is more than you want to buy But otherwise, is there any reason you shouldn't pick the highest yielding brokered CD that's available for your desired time duration? I haven't seen ratings or anything on these CDs that could sway my decision one way or another.

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