The superhedging problem of derivative securities under the constraint of portfolio amounts is revisited. This paper considers more general forms of constraints, characterizes the minimal superhedging cost using a 'dual' maximization problem, and shows that a replicating strategy of the so-called 'face-lifted' claim gives a minimal superhedging strategy in the European option case. Also, as hinted by the static-replication technique, a superhedging strategy is computed for a knockout option in closed form.
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