Can the Stock Yield Enhancement Program participant determine which shares IBKR can lend?

No. The Stock Yield Enhancement Program is entirely managed by IBKR who, after determining those securities, if any, which IBKR is authorized to lend by virtue of a margin loan lien, has the discretion to determine whether any of the fully-paid or excess margin securities can be loaned out and to initiate the loans.

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How can I stop specific stocks from being loaned out in the Stock Yield Enhancement Program (SYEP)?
What happens if a Stock Yield Enhancement Program participant initiates a margin loan or increases an existing loan balance?
What happens if a SYE program participant initiates a margin loan or increases an existing loan balance?
Is the Stock Yield Enhancement program available to IBKR Lite accounts with IBKR Singapore?