As described above, if you are sending from an exchange to a local wallet, you do not need a payment ID.  If you send coins to an exchange, then you must use the address and payment ID field. 

The payment ID field acts similar to a "for further credit to (FFC)" when wiring funds through an intermediary bank. An exchange, regardless of size, can use a single wallet address for all incoming deposits from all customers. The payment ID field is what is associated with your actual account on the exchange, it is likely that all users will have the exact same incoming address, but each account will always have a different payment ID.  The payment ID is the method of tracking where the deposit came from, and what account to credit. 

When using Bitcoin or Bitcoin based coins (which is 95+% of all coins) the incoming deposit address is associated with a specific account at an exchange.  With Cryptonote coins, which allows sender / receiver privacy from a single address, the payment ID is the portion that specifies the ultimate destination, whereas the "address" only makes sure that the coins get to the exchange's wallet.   

It is very important to make sure you include this payment id information when sending to an exchange.

To be clear, this is not an issue with Boolberry, this was an oversight by that specific exchange when they did their integration, and to eliminate the possibility of funds being lost we have asked them to suspend trading indefinitely.

Again, ALL transfers from Stocks.ex should be to a local wallet.  Do not attempt to send to another account at Stocks.ex or any another exchange or account on another exchange.

Hope this clarifies the issue and reasoning behind the warnings and the request that was made to halt trading.  We are only trying to protect the user experience, and until that exchange fixes their issues, we want to protect our constituency by avoiding use of their platform.