Replicated derivatives having demand-based, adjustable returns, and trading exchange therefor

Abstract

Methods and systems for trading and replicating contingent claims, such as derivatives strategies, in a demand-based auction are described. In one embodiment, a set of demand-based claims, each of which can be a vanilla option or a digital option, approximate or replicate the contingent claim into a vanilla replicating basis or a digital replicating basis, and the order for the contingent claim is then evaluated or processed in the demand-based auction. In another embodiment, a plurality of strikes and a plurality of replicating claims are established for a demand-based auction on an event, one or more replicating claims striking at each of the strikes in the auction. A contingent claim, such as a derivatives strategy, is replicated with a replication set that includes one or more of the replicating claims in the auction. The equilibrium price and/or the payout for the derivatives strategy is determined as a function of the demand-based valuation of each of the replicating claims in the replication set. For a customer order requesting a number of a certain derivatives strategy in the demand-based auction and a limit price per derivatives strategy, the premium of the customer order is determined as a product of the equilibrium price for the derivatives strategy and a filled number of derivatives strategies for the order, each determined as a function of the demand-based valuation of each of the replicating claims in the demand-based auction.