A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR).

A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR).

This paper presents a simple extension of Rolle’s Theorem. This extension allows determining the amount of numbers ξi in which f'(ξi) = 0 in a given interval, using the characteristics of the function f in that interval. The extension has been proved, and the geometric interpretation has been...

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Bibliographic Details
Main Author: Fernando Gómez Villarraga
Format: Article
Language:Spanish
Published: Universidad Católica de Colombia 2019-07-01
Series:Revista Finanzas y Política Económica
Subjects:
Rolle’s theorem
multiple internal rates of return (IRR)
Online Access:https://revfinypolecon.ucatolica.edu.co/article/view/2376
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spelling doaj-da5943f8d2e84af4b37b8eb53b47fa1c2021-09-08T01:17:18ZspaUniversidad Católica de ColombiaRevista Finanzas y Política Económica2248-60462011-76632019-07-0111210.14718/revfinanzpolitecon.2019.11.2.2A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR).Fernando Gómez Villarraga0Universidad de La Salle This paper presents a simple extension of Rolle’s Theorem. This extension allows determining the amount of numbers ξi in which f'(ξi) = 0 in a given interval, using the characteristics of the function f in that interval. The extension has been proved, and the geometric interpretation has been presented. Illustrative examples have also been developed for each case that can be obtained by applying the extension. Finally, the study examines the relation of this theorem with the problem of multiple internal rates of return (IRR). https://revfinypolecon.ucatolica.edu.co/article/view/2376Rolle’s theoremmultiple internal rates of return (IRR)
collection DOAJ
language Spanish
format Article
sources DOAJ
author Fernando Gómez Villarraga
spellingShingle Fernando Gómez Villarraga
A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR).
Revista Finanzas y Política Económica
Rolle’s theorem
multiple internal rates of return (IRR)
author_facet Fernando Gómez Villarraga
author_sort Fernando Gómez Villarraga
title A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR).
title_short A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR).
title_full A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR).
title_fullStr A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR).
title_full_unstemmed A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR).
title_sort simple extension of rolle's theorem and its relation with multiple internal rates of return (irr).
publisher Universidad Católica de Colombia
series Revista Finanzas y Política Económica
issn 2248-6046
2011-7663
publishDate 2019-07-01
description This paper presents a simple extension of Rolle’s Theorem. This extension allows determining the amount of numbers ξi in which f'(ξi) = 0 in a given interval, using the characteristics of the function f in that interval. The extension has been proved, and the geometric interpretation has been presented. Illustrative examples have also been developed for each case that can be obtained by applying the extension. Finally, the study examines the relation of this theorem with the problem of multiple internal rates of return (IRR).
topic Rolle’s theorem
multiple internal rates of return (IRR)
url https://revfinypolecon.ucatolica.edu.co/article/view/2376
work_keys_str_mv AT fernandogomezvillarraga asimpleextensionofrollestheoremanditsrelationwithmultipleinternalratesofreturnirr
AT fernandogomezvillarraga simpleextensionofrollestheoremanditsrelationwithmultipleinternalratesofreturnirr
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