Fair sharing ratios of Profit and Loss sharing contracts

Clé de répartition équitable des contrats de partage des profits et pertes

Abass Sagna ()
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Abass Sagna: ENSIIE - Ecole Nationale Supérieure d'Informatique pour l'Industrie et l'Entreprise, LaMME - Laboratoire de Mathématiques et Modélisation d'Evry - ENSIIE - Ecole Nationale Supérieure d'Informatique pour l'Industrie et l'Entreprise - UEVE - Université d'Évry-Val-d'Essonne - Université Paris-Saclay - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement

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Abstract: We consider islamic Profit and Loss (PL) sharing contract, possibly combined with an agency contract, and introduce the notion of c-fair profit sharing ratios (c = (c 1 , . . . , c d ) ∈ (R ⋆ ) d , where d is the number of partners) which aims to determining both the profit sharing ratios and the induced expected maturity payoffs of each partner ℓ according to its contribution, determined by the rate component c ℓ of the vector c, to the global success of the project. We show several new results that elucidate the relation between these profit sharing ratios and various important economic factors as the investment risk, the labor and the capital, giving accordingly a way of choosing them in connection with the real economy. The design of our approach allows the use of all the range of econometrics models or more general stochastic diffusion models to compute or approximate the quantities of interest.

Date: 2025-06-26
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