A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR)
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad Católica de Colombia
2019
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| _version_ | 1876454150178340864 |
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| author | Fernando Gómez-Villaraga |
| author_facet | Fernando Gómez-Villaraga |
| contents | A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) Fernando Gómez-Villaraga Economía y Finanzas Rolle's theorem 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 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).JEL Classification: C02, C20, G00. 2019 artículo científico 2248-6046 https://www.redalyc.org/articulo.oa?id=323564772002 https://www.redalyc.org/journal/3235/323564772002/ https://www.redalyc.org/journal/3235/323564772002/html/ https://www.redalyc.org/journal/3235/323564772002/323564772002.epub https://www.redalyc.org/journal/3235/323564772002/movil 10.14718/revfinanzpolitecon.2019.11.2.2 en http://www.redalyc.org/revista.oa?id=3235 Revista Finanzas y Política Económica application/pdf Universidad Católica de Colombia Revista Finanzas y Política Económica (Colombia) Num.2 Vol.11 |
| format | Artículo científico |
| id | redalyc_323564772002 |
| institution | Redalyc |
| language | en |
| publishDate | 2019 |
| publisher | Universidad Católica de Colombia |
| spellingShingle | A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) Fernando Gómez-Villaraga Economía y Finanzas Rolle's theorem Multiple internal rates of return (IRR) A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) Fernando Gómez-Villaraga Economía y Finanzas Rolle's theorem 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 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).JEL Classification: C02, C20, G00. 2019 artículo científico 2248-6046 https://www.redalyc.org/articulo.oa?id=323564772002 https://www.redalyc.org/journal/3235/323564772002/ https://www.redalyc.org/journal/3235/323564772002/html/ https://www.redalyc.org/journal/3235/323564772002/323564772002.epub https://www.redalyc.org/journal/3235/323564772002/movil 10.14718/revfinanzpolitecon.2019.11.2.2 en http://www.redalyc.org/revista.oa?id=3235 Revista Finanzas y Política Económica application/pdf Universidad Católica de Colombia Revista Finanzas y Política Económica (Colombia) Num.2 Vol.11 |
| title | A simple extension of Rolle's theorem and its relation with multiple internal rates of return (IRR) |
| topic | Economía y Finanzas Rolle's theorem Multiple internal rates of return (IRR) |
| url | https://www.redalyc.org/articulo.oa?id=323564772002 https://www.redalyc.org/journal/3235/323564772002/ https://www.redalyc.org/journal/3235/323564772002/html/ https://www.redalyc.org/journal/3235/323564772002/323564772002.epub https://www.redalyc.org/journal/3235/323564772002/movil |