Before revision: We discuss finiteness (effectiveness), continuity (robustness) and optimality (efficiency) results for capital requirements , or risk measures, defined for financial positions belonging to an ordered topological vector space.
After revision: We discuss general capital requirements representing the minimum amount of capital that a financial institution needs to raise and invest in a pre-specified eligible, or reference, asset to ensure it is adequately capitalized. Financial positions are modeled as elements belonging to an ordered topological vector space.