The present invention provides a composition, comprising: proaccelerin (factor V) and at least one factor selected from the group consisting of: prothrombin (factor II), proconvertin (factor VII), and Stuart-Prower factor (factor X), wherein an amount of the proaccelerin in the composition is between 75% to 750% compared to an amount of proaccelerin in a blood plasma, and wherein an amount of the at least one factor is from 150% to 3000% compared to an amount of the at least one factor in the blood plasma; wherein the amount of proaccelerin and the at least one factor in the composition is determined by extrapolating an observed activity of the composition at a concentration of 500 mM NaCl, using a prothrombin complementation assay using a standard curve constructed using the blood plasma.