It is my understanding that one may only have ownership in a business that operates on shabbat if you co-own with a gentile and have an explicit arrangement that all profits derived on shabbat belong to him and not you, as one ought not benefit from work done on the day of rest. If this is true, then why is it permissible to own stock in large companies (denoting partial ownership), even when no such explicit arrangement is made?
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The Igros Moshe Even Ho'Ezer 1:7 writes that when you own stock in a company that you have no control over the day to day operations then it is permitted.