Abstract: A method, apparatus and computer-readable medium for performing an opening auction of a derivative, including receiving a first order book and second order book comprising bid orders and ask orders for a first tradable series of a derivative and a second tradable series of said derivative and a third order book comprising bid orders for the first tradable series combined with ask orders for the second tradable series, calculating, for each of the order books, an upper bound for the volume of executable contracts associated with bid orders and an upper bound for the volume of executable contracts associated with ask orders, modifying the order books by cancelling, for each order book, bid orders and asks orders based on the calculated upper bounds, and determining an opening price of each of the first and second tradable series of the derivative using the order books.

Abstract: A computer system performs an opening auction of a derivative such as a financial futures. The computer system comprises an order maintenance module and an optimizing module. The order maintenance module maintains a plurality of order books for said derivative. The plurality of order books comprises a first set of order books and a second set of order books. Each order book of the first set of order books comprises bid and ask orders for a specific tradable series of the derivative. Each order book of the second set of order books comprises bid and ask orders for a specific combination of two tradable series of the derivative. Each bid and ask order is associated with an integer volume of tradable contracts of the derivative. The optimizing module maximizes a total volume of executed contracts using integer optimization to determine opening prices for the tradable series of the derivative.

Abstract: A data processing technique is provided that may be applied for trading and clearing a futures contract, and more generally, for processing data structures identifying two resources terminating at different times, a time instance earlier than these termination times, and a numeric data value which is time independent. At this time instance, resource values and resource amounts are determined. For determining the resource amounts, a sensitivity of the respective resource to a predefined parameter is determined, and the numeric data value is divided by the respective sensitivity.