In financial mathematics, no-arbitrage bounds are mathematical relationships specifying limits on financial portfolio prices. These price bounds are a specific example of good-deal bounds, and are in fact the greatest extremes for good-deal bounds.

The most frequent nontrivial example of no-arbitrage bounds is put-call parity for option prices. In incomplete markets, the bounds are given by the subhedging and superhedging price

Superhedging price

The superhedging price is a coherent risk measure. The superhedging price of a portfolio is equivalent to the smallest amount necessary to be paid for a portfolio at the current time so that at some specified future time the value of B is at least as great as A...

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