Open AccessA simple extension of Rolle’s theorem and its relation with multiple internal rates of return (IRR)
Author(s) -
Fernando Gómez Villarraga
Publication year - 2019
Publication title -
revista finanzas y política económica/revista finanzas y política económica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.121
H-Index - 3
eISSN - 2248-6046
pISSN - 2011-7663
DOI - 10.14718/rfype.2019.11.2.2376
Subject(s) - extension (predicate logic) , mathematics , simple (philosophy) , interval (graph theory) , internal rate of return , relation (database) , function (biology) , calculus (dental) , interpretation (philosophy) , discrete mathematics , combinatorics , computer science , economics , production (economics) , medicine , philosophy , dentistry , epistemology , database , evolutionary biology , biology , macroeconomics , programming language
It has been stated a simple extension of the Rolle?s theorem. This extension permits to determine the amount of numbers in which in a given interval using the characteristics of the function in that interval. The extension has been proved and the geometric interpretation is presented. Illustrative examples have been developed for each of the cases that can be obtained by applying the extension. The relation of this theorem with the problem of multiple internal rates of return (IRR) is presented.