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An Interest theory inequality and optimal transport

MARC record
Tag12Value
LDR  00000cab a2200000 4500
001  MAP20260012155
003  MAP
005  20260422175017.0
008  260421e20260413che|||p |0|||b|eng d
040  ‎$a‎MAP‎$b‎spa‎$d‎MAP
084  ‎$a‎6
100  ‎$0‎MAPA20100046371‎$a‎Shyamalkumar, Nariankadu D.
24513‎$a‎An Interest theory inequality and optimal transport‎$c‎Nariankadu D. Shyamalkumar, Siyang Tao and Tianrun Wang
520  ‎$a‎The 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
650 4‎$0‎MAPA20080592011‎$a‎Modelos actuariales
650 4‎$0‎MAPA20080588328‎$a‎Teoría del interés
650 4‎$0‎MAPA20080568245‎$a‎Capitalización
650 4‎$0‎MAPA20080569006‎$a‎Flujos de caja
650 4‎$0‎MAPA20080579258‎$a‎Cálculo actuarial
7001 ‎$0‎MAPA20260007205‎$a‎Tao, Siyang
7001 ‎$0‎MAPA20260007212‎$a‎Wang, Tianrun
7102 ‎$0‎MAPA20180008764‎$a‎Springer
7730 ‎$w‎MAP20220007085‎$g‎13/04/2026 Número 16 issue 1 - abril 2026 , 8 p.‎$t‎European Actuarial Journal‎$d‎Cham, Switzerland : Springer Nature Switzerland AG, 2021-2022