Multiplicative Models of Financial Returns an What We Fail to Get When They are Disregarded
Serie Documentos de Trabajo No. 454
28 Pages Posted: 23 Jun 2011
Date Written: May 1, 2011
Abstract
This paper puts forward an alternative approach to multiplicative models and their assessment of returns out of financial assets. Firstly, it lays down an operative definition but also sets forth a commutative framework of mappings to provide foundations to such a definition. Next, the total return is split down into its linear and non-linear building blocks. Afterwards, a compatibility lemma draws a distinction between what should be meant by linear approximation and linear equivalence to the multiplicative model. Last of all, three empirical examples bring home how to profit from multiplicative models in actual practice.
Keywords: multiplicative models of returns, additive models of return, financial assets returns, linear approximation and linear equivalences
JEL Classification: G11, G12, G17, G30
Suggested Citation: Suggested Citation
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