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When buying a call option, is the financial stability of the option writer relevant?
In the case of regulated, exchange-traded options, the writer of an options contract is obliged to maintain a margin with their broker, and the broker is obliged to maintain a margin with the clearing house.  (Institutional writers of options will deal directly with the clearing house.) In the event that the writer is unable to make a daily margin call, the broker (or clearing house) may automatically close out (all of) their positions using existing margin held.  If there was a shortfall, the broker (or clearing house) would be left to persue the client (writer) to make good on their obligations. None of this effects the position of the original buyer of the options contract.  Effectively, the buyer's counterparty is their broker's clearing house account.