Abstract: A set of estimated allocations Nest(X1) through Nest(Xk) of portfolio positions to products X1 through Xk may be determined, with products X1 through Xk including portfolio products and spread-traded products based on some of the portfolio products. Utilizing the set of estimated allocations, an optimized liquidation cost LCopt may be designated. Data indicating at least a portion of a performance bond based on the optimized liquidation LCopt may be output.

Abstract: A computer implemented method determines a margin requirement for a financial product portfolio. Market conditions for the financial product portfolio are characterized by a zero curve. The method includes producing a plurality of scenario curves, each scenario curve reflecting a principal component analysis (PCA) model of the zero curve with a respective PCA factor of a plurality of PCA factors of the PCA model offset from a corresponding base value for the zero curve, calculating a respective projected value of the financial product portfolio for each scenario curve of the plurality of scenario curves, calculating a loss risk amount for each PCA factor based on the respective projected value and a current value of the financial product portfolio, and determining the margin requirement based on a sum of the loss risk amounts for the plurality of PCA factors.

Abstract: A set of estimated allocations Nest(X1) through Nest(Xk) of portfolio positions to products X1 through Xk may be determined, with products X1 through Xk including portfolio products and spread-traded products based on some of the portfolio products. Utilizing the set of estimated allocations, an optimized liquidation cost LCopt may be designated. Data indicating at least a portion of a performance bond based on the optimized liquidation LCopt may be output.

Abstract: A computer implemented method determines a margin requirement for a financial product portfolio. Market conditions for the financial product portfolio are characterized by a zero curve. The method includes producing a plurality of scenario curves, each scenario curve reflecting a principal component analysis (PCA) model of the zero curve with a respective PCA factor of a plurality of PCA factors of the PCA model offset from a corresponding base value for the zero curve, calculating a respective projected value of the financial product portfolio for each scenario curve of the plurality of scenario curves, calculating a loss risk amount for each PCA factor based on the respective projected value and a current value of the financial product portfolio, and determining the margin requirement based on a sum of the loss risk amounts for the plurality of PCA factors.

Abstract: A set of estimated allocations Nest(X1) through Nest(Xk) of portfolio positions to products X1 through Xk may be determined, with products X1 through Xk including portfolio products and spread-traded products based on some of the portfolio products. Utilizing the set of estimated allocations, an optimized liquidation cost LCopt may be designated. Data indicating at least a portion of a performance bond based on the optimized liquidation LCopt may be output.

Abstract: A computer implemented method determines a margin requirement for a financial product portfolio. Market conditions for the financial product portfolio are characterized by a zero curve. The method includes producing a plurality of scenario curves, each scenario curve reflecting a principal component analysis (PCA) model of the zero curve with a respective PCA factor of a plurality of PCA factors of the PCA model offset from a corresponding base value for the zero curve, calculating a respective projected value of the financial product portfolio for each scenario curve of the plurality of scenario curves, calculating a loss risk amount for each PCA factor based on the respective projected value and a current value of the financial product portfolio, and determining the margin requirement based on a sum of the loss risk amounts for the plurality of PCA factors.

Abstract: A computer implemented method determines a margin requirement for a financial product portfolio. Market conditions for the financial product portfolio are characterized by a zero curve. The method includes producing a plurality of scenario curves, each scenario curve reflecting a principal component analysis (PCA) model of the zero curve with a respective PCA factor of a plurality of PCA factors of the PCA model offset from a corresponding base value for the zero curve, calculating a respective projected value of the financial product portfolio for each scenario curve of the plurality of scenario curves, calculating a loss risk amount for each PCA factor based on the respective projected value and a current value of the financial product portfolio, and determining the margin requirement based on a sum of the loss risk amounts for the plurality of PCA factors.

Abstract: A set of estimated allocations Nest(X1) through Nest(Xk) of portfolio positions to products X1 through Xk may be determined, with products X1 through Xk including portfolio products and spread-traded products based on some of the portfolio products. Utilizing the set of estimated allocations, an optimized liquidation cost LCopt may be designated. Data indicating at least a portion of a performance bond based on the optimized liquidation LCopt may be output.

Abstract: A face shield includes a clear front portion, stop members, and side portions with pivot holes. A device includes clip members with pivot knobs that extend outward through the pivot holes. The shield pivotably engages the clip members. The clip members are securable to user headgear. The shield can be pivoted between open and closed configurations. Although it is gravity-biased towards the closed configuration, the shield can be pivoted past the stop members into the open configuration. In the open configuration, the stop members withstand the aforesaid gravity-biasing and keep the shield in the open configuration. The stop members can be resiliently deformed to permit pivoting of the shield from the open configuration towards the closed configuration. The shield is formed from a flat plastic sheet, with notches that engage mating tongues to keep it in a folded configuration.

Abstract: A set of estimated allocations Nest(X1) through Nest(Xk) of portfolio positions to products X1 through Xk may be determined, with products X1 through Xk including portfolio products and spread-traded products based on some of the portfolio products. Utilizing the set of estimated allocations, an optimized liquidation cost LCopt may be designated. Data indicating at least a portion of a performance bond based on the optimized liquidation LCopt may be output.

Abstract: A computer implemented method determines a margin requirement for a financial product portfolio. Market conditions for the financial product portfolio are characterized by a zero curve. The method includes producing a plurality of scenario curves, each scenario curve reflecting a principal component analysis (PCA) model of the zero curve with a respective PCA factor of a plurality of PCA factors of the PCA model offset from a corresponding base value for the zero curve, calculating a respective projected value of the financial product portfolio for each scenario curve of the plurality of scenario curves, calculating a loss risk amount for each PCA factor based on the respective projected value and a current value of the financial product portfolio, and determining the margin requirement based on a sum of the loss risk amounts for the plurality of PCA factors.

Abstract: A computer implemented method determines a margin requirement for a financial product portfolio. Market conditions for the financial product portfolio are characterized by a zero curve. The method includes producing a plurality of scenario curves, each scenario curve reflecting a principal component analysis (PCA) model of the zero curve with a respective PCA factor of a plurality of PCA factors of the PCA model offset from a corresponding base value for the zero curve, calculating a respective projected value of the financial product portfolio for each scenario curve of the plurality of scenario curves, calculating a loss risk amount for each PCA factor based on the respective projected value and a current value of the financial product portfolio, and determining the margin requirement based on a sum of the loss risk amounts for the plurality of PCA factors.

Abstract: A set of estimated allocations Nest(X1) through Nest(Xk) of portfolio positions to products X1 through Xk may be determined, with products X1 through Xk including portfolio products and spread-traded products based on some of the portfolio products. Utilizing the set of estimated allocations, an optimized liquidation cost LCopt may be designated. Data indicating at least a portion of a performance bond based on the optimized liquidation LCopt may be output.

Abstract: A computer implemented method determines a margin requirement for a financial product portfolio. Market conditions for the financial product portfolio are characterized by a zero curve. The method includes producing a plurality of scenario curves, each scenario curve reflecting a principal component analysis (PCA) model of the zero curve with a respective PCA factor of a plurality of PCA factors of the PCA model offset from a corresponding base value for the zero curve, calculating a respective projected value of the financial product portfolio for each scenario curve of the plurality of scenario curves, calculating a loss risk amount for each PCA factor based on the respective projected value and a current value of the financial product portfolio, and determining the margin requirement based on a sum of the loss risk amounts for the plurality of PCA factors.

Abstract: A set of estimated allocations Nest(X1) through Nest(Xk) of portfolio positions to products X1 through Xk may be determined, with products X1 through Xk including portfolio products and spread-traded products based on some of the portfolio products. Utilizing the set of estimated allocations, an optimized liquidation cost LCopt may be designated. Data indicating at least a portion of a performance bond based on the optimized liquidation LCopt may be output.

Abstract: A computer implemented method determines a margin requirement for a financial product portfolio. Market conditions for the financial product portfolio are characterized by a zero curve. The method includes producing a plurality of scenario curves, each scenario curve reflecting a principal component analysis (PCA) model of the zero curve with a respective PCA factor of a plurality of PCA factors of the PCA model offset from a corresponding base value for the zero curve, calculating a respective projected value of the financial product portfolio for each scenario curve of the plurality of scenario curves, calculating a loss risk amount for each PCA factor based on the respective projected value and a current value of the financial product portfolio, and determining the margin requirement based on a sum of the loss risk amounts for the plurality of PCA factors.

Abstract: A computer implemented method determines a margin requirement for a financial product portfolio. Market conditions for the financial product portfolio are characterized by a zero curve. The method includes producing a plurality of scenario curves, each scenario curve reflecting a principal component analysis (PCA) model of the zero curve with a respective PCA factor of a plurality of PCA factors of the PCA model offset from a corresponding base value for the zero curve, calculating a respective projected value of the financial product portfolio for each scenario curve of the plurality of scenario curves, calculating a loss risk amount for each PCA factor based on the respective projected value and a current value of the financial product portfolio, and determining the margin requirement based on a sum of the loss risk amounts for the plurality of PCA factors.

Abstract: A computer implemented method determines a margin requirement for a financial product portfolio. Market conditions for the financial product portfolio are characterized by a zero curve. The method includes producing a plurality of scenario curves, each scenario curve reflecting a principal component analysis (PCA) model of the zero curve with a respective PCA factor of a plurality of PCA factors of the PCA model offset from a corresponding base value for the zero curve, calculating a respective projected value of the financial product portfolio for each scenario curve of the plurality of scenario curves, calculating a loss risk amount for each PCA factor based on the respective projected value and a current value of the financial product portfolio, and determining the margin requirement based on a sum of the loss risk amounts for the plurality of PCA factors.

Abstract: A set of estimated allocations Nest(X1) through Nest(Xk) of portfolio positions to products X1 through Xk may be determined, with products X1 through Xk including portfolio products and spread-traded products based on some of the portfolio products. Utilizing the set of estimated allocations, an optimized liquidation cost LCopt may be designated. Data indicating at least a portion of a performance bond based on the optimized liquidation LCopt may be output.

Abstract: A set of estimated allocations Nest(X1) through Nest(Xk) of portfolio positions to products X1 through Xk may be determined, with products X1 through Xk including portfolio products and spread-traded products based on some of the portfolio products. Utilizing the set of estimated allocations, an optimized liquidation cost LCopt may be designated. Data indicating at least a portion of a performance bond based on the optimized liquidation LCopt may be output.