Embodiments disclosed herein provide for systems and methods of calculating the coefficients and creating a linear multivariate model of price returns for a given target portfolio by using the factor characteristic data of the fund' s constituents at a particular point in time. The systems and methods provide for creating quantile matrices based on the target portfolio and a plurality of synthetic factor portfolios, and computing weights on each synthetic factor portfolio such that the sum of squared differences between each cell in the profile matrix of the fund and the factor portfolios is minimized.
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