Papers by Fouad Koudjeti
Universitext, 1995
In some branches of pure mathematics such as asymptotics, or mathematics applied to astronomy, ph... more In some branches of pure mathematics such as asymptotics, or mathematics applied to astronomy, physics or economics for example, we are often confronted with laborious calculations where we are asked to handle mathematical entities of different orders of magnitude. In many cases if we decide to push the calculations to the last detail, these same calculations become, if not impenetrable,
In some branches of pure mathematics such as asymptotics, or mathematics applied to astronomy, ph... more In some branches of pure mathematics such as asymptotics, or mathematics applied to astronomy, physics or economics for example, we are often confronted with laborious calculations where we are asked to handle mathematical entities of different orders of magnitude. In many cases if we decide to push the calculations to the last detail, these same calculations become, if not impenetrable,
Journal of Islamic Monetary Economics and Finance, Dec 27, 2019
This paper introduces a Markov chain model for Islamic micro-financing, especially mudarabah and ... more This paper introduces a Markov chain model for Islamic micro-financing, especially mudarabah and murababah contracts. Mudarabah and murabahah are two Islamic microfinancing contracts that have enormous potential in creating a balance between the monetary and sharia sector because the two products are moving to manage the business sector, which undoubtedly adds value to the economic movement directly. On the other hand, both contracts have the potential to cause problems in their implementation, notably the asymmetric information that consists of adverse selection and moral hazard. We propose the Markov chain model as a solution for the Islamic banks to reduce the risk due to adverse selection and moral hazard in mudarabah and murabahah contracts. In our model, we also propose a mechanism to avoid strategic default in a mudarabah contract. We observed two different probabilities of an applicant to become a beneficiary to find the solution to the problems. The results of this study reveal that the bank could decrease the probability of an applicant to become a beneficiary to reduce the adverse selection and moral hazard in mudarabah and murabahah contracts.
Journal of Islamic Monetary Economics and Finance, 2019
This paper introduces a Markov chain model for Islamic micro-financing, especially mudarabah and ... more This paper introduces a Markov chain model for Islamic micro-financing, especially mudarabah and murababah contracts. Mudarabah and murabahah are two Islamic micro-financing contracts that have enormous potential in creating a balance between the monetary and sharia sector because the two products are moving to manage the business sector, which undoubtedly adds value to the economic movement directly. On the other hand, both contracts have the potential to cause problems in their implementation, notably the asymmetric information that consists of adverse selection and moral hazard. We propose the Markov chain model as a solution for the Islamic banks to reduce the risk due to adverse selection and moral hazard in mudarabah and murabahah contracts. In our model, we also propose a mechanism to avoid strategic default in a mudarabah contract. We observed two different probabilities of an applicant to become a beneficiary to find the solution to the problems. The results of this study reveal that the bank could decrease the probability of an applicant to become a beneficiary to reduce the adverse selection and moral hazard in mudarabah and murabahah contracts. A Markov Chain Model for Islamic Micro-Financing 764
Thesis Chapters by Fouad Koudjeti
Elements of External Calculus, with an application to Mathematical Finance, 1995
Here are the founding concepts of neutrices, external numbers and external calculus, put down in ... more Here are the founding concepts of neutrices, external numbers and external calculus, put down in my thesis and defended on June 19th, 1995.
This document is the second part of the thesis
Elements of External Calculus, with an application to Mathematical Finance, 1995
This is the first part of my thesis "Elements of External Calculus, with an application to Mathem... more This is the first part of my thesis "Elements of External Calculus, with an application to Mathematical Finance", defended on June 19th, 1995
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Papers by Fouad Koudjeti
Thesis Chapters by Fouad Koudjeti
This document is the second part of the thesis
This document is the second part of the thesis