Series-Parallel Duality in the Mathematics of Appraisal | Zendy

David Ellerman | Zendy

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Series-Parallel Duality in the Mathematics of Appraisal

Author(s) -

David Ellerman

Publication year - 2009

Publication title -

ssrn electronic journal

Language(s) - English

Resource type - Journals

ISSN - 1556-5068

DOI - 10.2139/ssrn.1340704

Subject(s) - duality (order theory) , mathematics , series (stratigraphy) , calculus (dental) , mathematics education , algebra over a field , mathematical economics , pure mathematics , geology , paleontology , medicine , dentistry

It has long been noticed that the basic functions in the mathematics of real estate appraisal and in financial arithmetic come in pairs where one function is the reciprocal of the other. For instance, the "payments to amortize a principal of one" is the reciprocal of the "principal amortized by payments of one." This paper shows that this phenomenon is an example of the series-parallel duality ordinarily studied in electrical circuit theory and combinatorial mathematics.

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