Title

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

DOI

https://doi.org/10.14718/REVFINANZPOLITECON.2019.11.2.2

Document Type

Article

Publication Date

3-2-2020

Publication Title

Revista Finanzas y Politica Economica

Abstract

This paper presents a simple extension of Rolle's Theorem. This extension allows determining the amount of numbers ξ in which f'(ξ ) = 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). i i

Volume

11

Issue

2

First Page

241

Last Page

258

ISSN

22486046

Identifier

SCOPUS_ID:85090810541

Documento original

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