Indexation of Fixed-Income Portfolios to the IMA-B

This study considers the problem of indexing fixed-income portfolios to the ANBIMA Market Index – Series B (IMA-B), composed of Brazilian National Treasury Notes – Series B (NTNBs). We propose a mathematical model that minimizes the deviations of the returns of the chosen portfolio in relation to th...

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Autores principales: Emilio Ricardo Carvalhais, Antonio Marcos Duarte Júnior
Formato: article
Lenguaje:EN
PT
Publicado: FUCAPE Business School 2015
Materias:
ima
b
ntn
Acceso en línea:https://doaj.org/article/ca38d5f92d364e358caf4f470ef8363b
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spelling oai:doaj.org-article:ca38d5f92d364e358caf4f470ef8363b2021-11-11T15:48:06ZIndexation of Fixed-Income Portfolios to the IMA-B1807-734Xhttps://doaj.org/article/ca38d5f92d364e358caf4f470ef8363b2015-01-01T00:00:00Zhttp://www.redalyc.org/articulo.oa?id=123041057006https://doaj.org/toc/1807-734XThis study considers the problem of indexing fixed-income portfolios to the ANBIMA Market Index – Series B (IMA-B), composed of Brazilian National Treasury Notes – Series B (NTNBs). We propose a mathematical model that minimizes the deviations of the returns of the chosen portfolio in relation to the returns of the index’s theoretical portfolio. The resulting model is a mathematical programming problem with convex objective function, linear constraints and free and non-negative integer variables. Five numerical examples with real data are presented to illustrate the model’s practical use. The results obtained from the fits are analyzed together with data for funds indexed to the IMA-B existing in the Brazilian financial market. The proposed method resulted in fits with optimal control of the tracking errors of the indexed portfolio.Emilio Ricardo CarvalhaisAntonio Marcos Duarte JúniorFUCAPE Business Schoolarticleimabpassive managementindexationntnbfixed incomeBusinessHF5001-6182ENPTBBR: Brazilian Business Review, Vol 12, Iss 3, Pp 116-142 (2015)
institution DOAJ
collection DOAJ
language EN
PT
topic ima
b
passive management
indexation
ntn
b
fixed income
Business
HF5001-6182
spellingShingle ima
b
passive management
indexation
ntn
b
fixed income
Business
HF5001-6182
Emilio Ricardo Carvalhais
Antonio Marcos Duarte Júnior
Indexation of Fixed-Income Portfolios to the IMA-B
description This study considers the problem of indexing fixed-income portfolios to the ANBIMA Market Index – Series B (IMA-B), composed of Brazilian National Treasury Notes – Series B (NTNBs). We propose a mathematical model that minimizes the deviations of the returns of the chosen portfolio in relation to the returns of the index’s theoretical portfolio. The resulting model is a mathematical programming problem with convex objective function, linear constraints and free and non-negative integer variables. Five numerical examples with real data are presented to illustrate the model’s practical use. The results obtained from the fits are analyzed together with data for funds indexed to the IMA-B existing in the Brazilian financial market. The proposed method resulted in fits with optimal control of the tracking errors of the indexed portfolio.
format article
author Emilio Ricardo Carvalhais
Antonio Marcos Duarte Júnior
author_facet Emilio Ricardo Carvalhais
Antonio Marcos Duarte Júnior
author_sort Emilio Ricardo Carvalhais
title Indexation of Fixed-Income Portfolios to the IMA-B
title_short Indexation of Fixed-Income Portfolios to the IMA-B
title_full Indexation of Fixed-Income Portfolios to the IMA-B
title_fullStr Indexation of Fixed-Income Portfolios to the IMA-B
title_full_unstemmed Indexation of Fixed-Income Portfolios to the IMA-B
title_sort indexation of fixed-income portfolios to the ima-b
publisher FUCAPE Business School
publishDate 2015
url https://doaj.org/article/ca38d5f92d364e358caf4f470ef8363b
work_keys_str_mv AT emilioricardocarvalhais indexationoffixedincomeportfoliostotheimab
AT antoniomarcosduartejunior indexationoffixedincomeportfoliostotheimab
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