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A polynomial that is a statistical prism
journal contribution
posted on 2023-06-07, 23:36 authored by Mark J Osborne, Mike OsborneThe roots of a polynomial can be represented as points in the complex plane. The time value of money (TVM) equation commonly used in finance is a polynomial. Concepts from financial mathematics can be obtained from the pattern of the roots of the TVM equation. The concepts are given in terms of distances between the roots and other salient points in the plane. This note shows that this particular polynomial, and the technique, can be applied more generally. When a series of data is fed into the coefficients of the polynomial, the mean and standard deviation of the data are seen in the complex plane as combinations of distances between the roots and other salient points. The results are aesthetically pleasing as well as mathematically interesting.
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Publication status
- Published
Journal
Mathematical GazettePublisher URL
Issue
508Volume
87Page range
76-85Department affiliated with
- Business and Management Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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