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A Markov Chain Model For Islamic Micro-Financing

Author

Listed:
  • Djaffar Lessy

    (Université de Nice Sophia Antipolis and IAIN Ambon, France and Indonesia,)

  • Fouad Khoudjeti

    (Dutch Ethical Finance, Nederland)

  • Marc Diener

    (Université de Nice Sophia Antipolis, France)

  • Francine Diener

    (Université de Nice Sophia Antipolis, France)

Abstract

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 mudarabahand murabahah contracts.

Suggested Citation

  • Djaffar Lessy & Fouad Khoudjeti & Marc Diener & Francine Diener, 2019. "A Markov Chain Model For Islamic Micro-Financing," Journal of Islamic Monetary Economics and Finance, Bank Indonesia, vol. 5(4), pages 763-784, November.
  • Handle: RePEc:idn:jimfjn:v:5:y:2019:i:4d:p:763-784
    DOI: https://doi.org/10.21098/jimf.v5i4.1081
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    More about this item

    Keywords

    Markov Chain; Mudarabah; Murabahah; Adverse Selection; Moral Hazard;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • E51 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Money Supply; Credit; Money Multipliers
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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