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Is It Possible for a Dark Pool Price to Be Significantly Better than the Public Exchange Price?

Yes, it is possible, particularly in crypto OTC desks (the dark pool equivalent) for large block trades. The public exchange price is based on the visible order book depth.

A large order on the public exchange would incur significant slippage. The OTC desk, however, can leverage its own inventory or a network of deep liquidity providers to offer a single, better all-in price that effectively beats the slippage-adjusted public price.

How Does the Bid-Ask Spread Compare between a Principal OTC Desk and a Public Exchange?
Can a Block Trade Be Used to Establish a Large Derivatives Position?
What Is the Role of a Crypto OTC Desk in Block Trading?
Could a Crypto Derivative Be Traded on an Unregulated OTC Desk?