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Factor Reduction / Principal Component Analysis

Java Applet

Alternatively you may launch this applet using Java WebStart. Minumum requirements: Java 1.5. Tested with Firefox and Safari.

Description

This tool illustrates the impact of a factor reduction on a correlation matrix.

It serves as a companion to Appendix B.3 of Mathematical Finance.

Predefined Scenarios

Your may step through five predefined scenarios.
Scenario 1 Scenario 2 Scenario 3 Scenario 4 Scenario 5
Reduction to one factor (trivial). Reduction to two factors. Reduction to five factors. Reduction to two factors starting from a setting of high correlation. Reduction to five factors starting from a setting of high correlation.

The scenarios 1-3 give a first impression of what a factor reduction does. Increasing the number of factors we will catch more and more of the original correlation structure. The scenarios 4 and 5 show that for some situations it is sufficient to use one 2 or 3 factors to capture the correlation structure.

© Copyright 2007 Christian P. Fries