Abstract: A system, method, software, and portfolios for managing risk in markets relating to a commodity delivered over a network are described, in which a market participant constructs portfolios of preferably liquid price risk instruments in proportions that eliminate the Spatial Price Risk for the market participant's underlying position. Techniques are also disclosed for constructing and evaluating new price risk instruments and other sets of positions, as well as identifying arbitrage opportunities in those markets.

Abstract: A system, method, software, and portfolios for managing risk in markets relating to a commodity delivered over a network are described, in which a market participant constructs portfolios of preferably liquid price risk instruments in proportions that eliminate the Spatial Price Risk for the market participant's underlying position. Techniques are also disclosed for constructing and evaluating new price risk instruments and other sets of positions, as well as identifying arbitrage opportunities in those markets.

Abstract: A system, method, software, and portfolios for managing risk in markets relating to a commodity delivered over a network are described, in which a market participant constructs portfolios of preferably liquid price risk instruments in proportions that eliminate the Spatial Price Risk for the market participant's underlying position. Techniques are also disclosed for constructing and evaluating new price risk instruments and other sets of positions, as well as identifying arbitrage opportunities in those markets. In particular, a “deltas vector” is calculated concerning a portfolio of future positions and derivative contracts, wherein the “deltas vector” is the partial derivative of the market participant's net market position taken with respect to the forward shadow prices ? of the network which depend upon congestion in the network.

Abstract: A system, method, software, and portfolios for managing risk in markets relating to a commodity delivered over a network are described, in which a market participant constructs portfolios of preferably liquid price risk instruments in proportions that eliminate the Spatial Price Risk for the market participant's underlying position. Techniques are also disclosed for constructing and evaluating new price risk instruments and other sets of positions, as well as identifying arbitrage opportunities in those markets. In particular, a “deltas vector” is calculated concerning a portfolio of future positions and derivative contracts, wherein the “deltas vector” is the partial derivative of the market participant's net market position taken with respect to the forward shadow prices ? of the network which depend upon congestion in the network.

Abstract: A system, method, software, and portfolios for managing risk in markets relating to a commodity delivered over a network are described, in which a market participant constructs portfolios of preferably liquid price risk instruments in proportions that eliminate the Spatial Price Risk for the market participant's underlying position. Techniques are also disclosed for constructing and evaluating new price risk instruments and other sets of positions, as well as identifying arbitrage opportunities in those markets. In particular, a “deltas vector” is calculated concerning a portfolio of future positions and derivative contracts, wherein the “deltas vector” is the partial derivative of the market participant's net market position taken with respect to the forward shadow prices ? of the network which depend upon congestion in the network.

Abstract: A system, method, software, and portfolios for managing risk in markets relating to a commodity delivered over a network are described, in which a market participant constructs portfolios of preferably liquid price risk instruments in proportions that eliminate the Spatial Price Risk for the market participant's underlying position. Techniques are also disclosed for constructing and evaluating new price risk instruments and other sets of positions, as well as identifying arbitrage opportunities in those markets. In particular, a “deltas vector” is calculated concerning a portfolio of future positions and derivative contracts, wherein the “deltas vector” is the partial derivative of the market participant's net market position taken with respect to the forward shadow prices ? of the network which depend upon congestion in the network.

Abstract: A system, method, software, and portfolios for managing risk in markets relating to a commodity delivered over a network are described, in which a market participant constructs portfolios of preferably liquid price risk instruments in proportions that eliminate the Spatial Price Risk for the market participant's underlying position. Techniques are also disclosed for constructing and evaluating new price risk instruments and other sets of positions, as well as identifying arbitrage opportunities in those markets.

Abstract: A system, method, software, and portfolios for managing risk in markets relating to a commodity delivered over a network are described, in which a market participant constructs portfolios of preferably liquid price risk instruments in proportions that eliminate the Spatial Price Risk for the market participant's underlying position. Techniques are also disclosed for constructing and evaluating new price risk instruments and other sets of positions, as well as identifying arbitrage opportunities in those markets. In particular, a “deltas vector” is calculated concerning a portfolio of future positions and derivative contracts, wherein the “deltas vector” is the partial derivative of the market participant's net market position taken with respect to the forward shadow prices &lgr; of the network which depend upon congestion in the network.

Abstract: A method of operating an electronic computer for pre-processing a first matrix having an array of coefficients representing linear functions relating measured variables to unmeasured variables of particular physical systems scans the rows of the matrix representations of these equations for rows with large numbers of non-zero coefficients and expands the matrix to reduce the density of those rows resulting in a larger expanded matrix that requires relatively fewer multiplication operations.