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Tytuł artykułu

Joint investment strategies with a superadditive capitalization function

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Some financial investments offer different profitabilities according to the invested amounts. They are operations which differentiate rates of interest depending on the placed capital, i.e., operations whose underlying capitalization functions are not linear with respect to the invested sums. Usually, this differentiation is performed by assigning a variable rate that is an increasing function of the amounts at given jump points, and constant in each interval. As a result, the capitalization function is discontinuous with a finite number of jumps, once the investment term has been fixed. In this situation, an investor can take advantage of differentials in interest rates between two intervals and so it could be convenient, for a group of investors, to join their quantities of money because greater rates of interest can be achieved. The question is how to fairly distribute, among the individual agents, the obtained joint interest. Our answer is based on a modified sharing, according to the interests generated by a new continuous capitalization function which "covers" the discontinuities of the original function.
Rocznik
Strony
649--667
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
  • Departamento de Direccion y Gestion de Empresas Universidad de Almeria, Spain
Bibliografia
  • CRUZ, S. (1996) Financial laws with algebraic automata theory. Estudios de Economia Aplicada 6, 65-102.
  • CRUZ, S. and VALLS, M.C. (2003) Progressive current accounts: Profit-sharing interest. International Game Theory Review 5 (2), 139-149.
  • CRUZ, S. and VALLS, M.C. (2005) Profit-sharing in transactions governed by a subadditive capitalization function. International Journal of Theoretical and Applied Finance 8 (1), 59-74.
  • CRUZ, S. and VENTRE, A.G.S. (1998) Decomposable financial laws and profitability. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 6 (4), 329-344.
  • CRUZ, S. and VENTRE, A.G.S. (1999) Decomposable financial processes associated to non-homogeneous laws. Giornale dell’Istituto Italiano degli Attuari, LXII (1-2), 79-88.
  • FÜRST, D. (1960) Funzioni e leggi di capitalizzazione subadditive. Giornale dell’Istituto Italiano degli Attuari, 56-77.
  • GIL, L. (1992) Matemática de las Operaciones Financieras. Ed. AC, Madrid.
  • MARAVALL, D. (1970) Matemática Financiera. Ed. Dossat, Madrid.
  • QUESADA, J.M.and NAVAS, J. (1998) Mejor Ip-aproximación y formulas de reparto del excedente en funciones financieras supraditivas. 7th Jornadas de ASEPUMA Valencia (Spain), 451-463.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0033-0025
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