# Principal Component Analysis (PCA) Financial Glossary

What is it? A mathematical tool used to reduce the number of variables while retaining the original variability of the data The first principal component accounts for as much of the variability in the data as possible, and each succeeding component accounts for as much of the remaining variability as possible. In interest rate risk analysis, PCA is applied to define non-parallel yield curve sifts to model. The number of variables is equal to the number of points on the yield curve, the first principal component is the rate level, the second is the twist or rotation of the yield curve around a pivot point and the third is the change in curvature or bow in the yield curve.

Finance Term Definition Added By: Ryan

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