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One of the challenges in the business banking account space is the lack of interest rates on these accounts compared to the options in the personal space.
An idea I have is to open up a business brokerage account that allows for bill pay and direct deposit. This way you can earn 4% on cash and track reliably with the over night lending rates as the move up (and move down unfortunately) rather than praying for business bank rates to become more competitive or chasing yield moving from one to another.
I guess the term for using a brokerage like this is called having a "cash management account"
Wealthfront
Fidelity
Charles Schwab
TD Ameritrade
Interactive Brokers