2016
DOI: 10.21314/jor.2016.345
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Compositional methods applied to capital allocation problems

Abstract: In this article we examine the relationship between capital allocation problems and compositional data, i.e., information that refers to the parts of a whole conveying relative information. We show that capital allocation principles can be interpreted as compositions. The natural geometry and vector space structure of compositional data are used to operate with capital allocation solutions. The distance and average that are appropriated in the geometric structure of compositions are presented. We demonstrate t… Show more

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Cited by 19 publications
(11 citation statements)
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References 20 publications
(24 reference statements)
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“…Recently, CoDa has been applied in finance and accounting to answer research questions concerning relative magnitudes. Examples include crowdfunding (Davis et al., 2017), financial markets (Kokoszka et al., 2019; Ortells et al., 2016; Wang et al., 2019), municipal budgeting (Voltes-Dorta et al., 2014), investment portfolios (Boonen et al., 2019; Belles-Sampera et al., 2016), product portfolios (Joueid and Coenders, 2018) and insurance pricing (Verbelen et al., 2018). CoDa has been successfully applied in multivariate descriptive studies of financial statements (Linares-Mustarós et al., 2018; Carreras-Simó and Coenders, 2019, in press).…”
Section: Methodsmentioning
confidence: 99%
“…Recently, CoDa has been applied in finance and accounting to answer research questions concerning relative magnitudes. Examples include crowdfunding (Davis et al., 2017), financial markets (Kokoszka et al., 2019; Ortells et al., 2016; Wang et al., 2019), municipal budgeting (Voltes-Dorta et al., 2014), investment portfolios (Boonen et al., 2019; Belles-Sampera et al., 2016), product portfolios (Joueid and Coenders, 2018) and insurance pricing (Verbelen et al., 2018). CoDa has been successfully applied in multivariate descriptive studies of financial statements (Linares-Mustarós et al., 2018; Carreras-Simó and Coenders, 2019, in press).…”
Section: Methodsmentioning
confidence: 99%
“…Nowadays, CoDa spans almost all of the hard sciences and has started to be used in several management fields. Besides Linares et al 2018, examples include crowdfunding (Davis et al, 2017), financial markets (Ortells et al, 2016;Wang et al, 2019), investment portfolios (Belles-Sampera et al, 2016;Boonen et al, 2019;Glassman & Riddick, 1996), municipality budgets (Voltes-Dorta et al, 2014), product portfolios (Joueid & Coenders, 2018), market segmentation (Ferrer-Rosell & Coenders, 2018;Ferrer-Rosell et al, 2016a), market share (Morais et al, 2018), advertisement (Mariné-Roig & Ferrer-Rosell, 2018), consumer research (Ferrer-Rosell et al, 2015;Ferrer-Rosell et al, 2016b;Vives-Mestres et al, 2016a), quality management (Vives-Mestres et al, 2014; 2016b), organizational culture (Van Eijnatten, et al, 2015), and management education (Batista-Foguet et al, 2015;Mateu-Figueras et al, 2016).…”
Section: Definition and Purposementioning
confidence: 99%
“…Applications of compositional techniques in risk-management are scarcely found in the literature. Belles-Sampera et al (2016) show the connection between capital allocation principles and compositional data for a one-period horizon. The authors apply compositional techniques to compute the distance between a set of risk allocation solutions and to compute the distance between them, but they do not address forecasting problems.…”
Section: Introductionmentioning
confidence: 97%