SYSTEM AND METHOD FOR DISPLAYING AND ANALYZING FINANCIAL CORRELATION DATA
First Claim
1. A method for displaying a matrix of correlations of a plurality of financial instruments, portfolios, indices, or asset classes, the method comprising:
- identifying by a processor the matrix of correlations;
converting by the processor the matrix of correlations into a probability transition matrix;
defining by the processor a corresponding abstract distance measurement between any two of the financial instruments, portfolios, indices, or asset classes based on the probability transition matrix;
assigning by the processor coordinates in a Euclidean space to each of the financial instruments, portfolios, indices, or asset classes corresponding to non-unit eigenvalues of the probability transition matrix, wherein a Euclidean distance between said any two of the financial instruments, portfolios, indices, or asset classes in the Euclidean space closely approximates the corresponding abstract distance measurement; and
displaying on a display device the financial instruments, portfolios, indices, or asset classes based on particular dimensions of the Euclidean space corresponding to larger ones of the eigenvalues.
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Abstract
A method for displaying a matrix of correlations or other statistical measures of co-movement associated with a plurality of financial instruments, portfolios, indices, or asset classes is disclosed. The method includes: converting the matrix of correlations or other co-movement measures into a probability transition matrix; defining a corresponding abstract distance measurement between any two of the plurality of financial instruments, portfolios, indices, or asset classes based on the probability transition matrix; assigning coordinates in a Euclidean space to each of the plurality of financial instruments, portfolios, indices, or asset classes, wherein a Euclidean distance between any two financial instruments, portfolios, indices, or asset classes in the Euclidean space corresponds to the corresponding abstract distance measurement; and displaying on a display device the plurality of financial instruments, portfolios, indices, or asset classes based on more significant dimensions of the Euclidean space.
43 Citations
30 Claims
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1. A method for displaying a matrix of correlations of a plurality of financial instruments, portfolios, indices, or asset classes, the method comprising:
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identifying by a processor the matrix of correlations; converting by the processor the matrix of correlations into a probability transition matrix; defining by the processor a corresponding abstract distance measurement between any two of the financial instruments, portfolios, indices, or asset classes based on the probability transition matrix; assigning by the processor coordinates in a Euclidean space to each of the financial instruments, portfolios, indices, or asset classes corresponding to non-unit eigenvalues of the probability transition matrix, wherein a Euclidean distance between said any two of the financial instruments, portfolios, indices, or asset classes in the Euclidean space closely approximates the corresponding abstract distance measurement; and displaying on a display device the financial instruments, portfolios, indices, or asset classes based on particular dimensions of the Euclidean space corresponding to larger ones of the eigenvalues. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26)
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27. A system for displaying a matrix of correlations associated with a plurality of financial instruments, portfolios, indices, or asset classes, the system comprising:
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a processor; a display device coupled to the processor; and a nonvolatile storage device coupled to the processor and storing instructions that, when executed by the processor, cause the processor to; identify the matrix of correlations; convert the matrix of correlations into a probability transition matrix; define a corresponding abstract distance measurement between any two of the financial instruments, portfolios, indices, or asset classes based on the probability transition matrix; assign coordinates in a Euclidean space to each of the financial instruments, portfolios, indices, or asset classes corresponding to non-unit eigenvalues of the probability transition matrix, wherein a Euclidean distance between said any two of the financial instruments, portfolios, indices, or asset classes in the Euclidean space closely approximates the corresponding abstract distance measurement; and display on the display device the financial instruments, portfolios, indices, or asset classes based on particular dimensions of the Euclidean space corresponding to larger ones of the eigenvalues. - View Dependent Claims (28, 29, 30)
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Specification