The present invention is applicable in the field of corporate finance, corporate capital investments, economics, math, business risk analysis, simulation, decision analysis, qualitative risk analysis, risk management, quantitative risk analysis, and business statistics, and relates to the modeling and valuation of investment decisions under uncertainty and risk within all companies, allowing these firms to properly identify, assess, quantify, value, diversify, and hedge their corporate capital investment decisions and their associated risks. Specifically, the present invention looks at starting from a comprehensive qualitative risk register and moving the analysis into the realms of quantitative risk modeling, simulation, and optimization.