How does a clearing house make money and thus ensure it's own capital stability? In the case of futures, there's no fee and margins don't provide 100% coverage. For options, premium goes to the other party and there's no mention of a fee/commission to the clearing house either. So, is a clearing house a for-profit enterprise or e.g. just a government-backed operation just to ensure orderly markets etc.?
Clearing houses are for-profit and charge fees. For example, the LCH is a UK limited company (with a French holding company parent). You can see the LCH tariff here https://www.lseg.com/areas-expertise/our-markets/turquoise/derivatives/fees