An Interest theory inequality and optimal transport
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<dc:creator>Shyamalkumar, Nariankadu D.</dc:creator>
<dc:creator>Tao, Siyang</dc:creator>
<dc:creator>Wang, Tianrun</dc:creator>
<dc:creator>Springer</dc:creator>
<dc:date>2026-04-13</dc:date>
<dc:description xml:lang="es">Sumario: The article presents a constructive proof of a classical inequality in interest theory stating that nominal annual interest rates decrease as the frequency of compounding increases. The authors develop a cashflow-based algorithm that allows value comparison through both deterministic and probabilistic approaches. The study connects this procedure with convex order and optimal transport theory, showing that the resulting coupling has the martingale property. In addition, it is shown that this transport is optimal with respect to two financially meaningful cost functions. The paper provides an actuarial example of a comonotonic distribution possessing the martingale property</dc:description>
<dc:identifier>https://documentacion.fundacionmapfre.org/documentacion/publico/es/bib/190484.do</dc:identifier>
<dc:language>eng</dc:language>
<dc:rights xml:lang="es">InC - http://rightsstatements.org/vocab/InC/1.0/</dc:rights>
<dc:subject xml:lang="es">Modelos actuariales</dc:subject>
<dc:subject xml:lang="es">Teoría del interés</dc:subject>
<dc:subject xml:lang="es">Capitalización</dc:subject>
<dc:subject xml:lang="es">Flujos de caja</dc:subject>
<dc:subject xml:lang="es">Cálculo actuarial</dc:subject>
<dc:type xml:lang="es">Artículos y capítulos</dc:type>
<dc:title xml:lang="es">An Interest theory inequality and optimal transport</dc:title>
<dc:relation xml:lang="es">En: European Actuarial Journal. - Cham, Switzerland : Springer Nature Switzerland AG, 2021-2022. - 13/04/2026 Número 16 issue 1 - abril 2026 , 8 p.</dc:relation>
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