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Optimizing Asset and Capital Adequacy Management in Banking

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  • J. Mukuddem-Petersen

    (North-West University)

  • M. A. Petersen

    (North-West University)

Abstract

This paper considers the application of stochastic optimization theory to asset and capital adequacy management in banking. Our study is motivated by new banking regulation that emphasizes risk minimization practices associated with assets and regulatory capital. Our analysis depends on the dynamics of the capital adequacy ratio (CAR), which we compute in a stochastic setting, by dividing regulatory bank capital (RBC) by risk weighted assets (RWAs). Furthermore, we demonstrate how the CAR can be optimized in terms of bank equity allocation and the rate at which additional debt and equity is raised. In either case, the dynamic programming algorithm for stochastic optimization is employed to verify the results. Also, we provide an illustration of aspects of bank management practice in relation to this regulation. Finally, we make a few concluding remarks and discuss possibilities for further research.

Suggested Citation

  • J. Mukuddem-Petersen & M. A. Petersen, 2008. "Optimizing Asset and Capital Adequacy Management in Banking," Journal of Optimization Theory and Applications, Springer, vol. 137(1), pages 205-230, April.
    • Handle: RePEc:spr:joptap:v:137:y:2008:i:1:d:10.1007_s10957-007-9322-x
    DOI: 10.1007/s10957-007-9322-x
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    References listed on IDEAS

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    Cited by:

    1. Lorella Fatone & Francesca Mariani, 2020. "Systemic risk governance in a dynamical model of a banking system with stochastic assets and liabilities," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 15(1), pages 183-219, January.
    2. Doumpos, Michalis & Zopounidis, Constantin & Gounopoulos, Dimitrios & Platanakis, Emmanouil & Zhang, Wenke, 2023. "Operational research and artificial intelligence methods in banking," European Journal of Operational Research, Elsevier, vol. 306(1), pages 1-16.
    3. Dawen Yan & Xiaohui Zhang & Mingzheng Wang, 2021. "A robust bank asset allocation model integrating credit-rating migration risk and capital adequacy ratio regulations," Annals of Operations Research, Springer, vol. 299(1), pages 659-710, April.
    4. Chakroun, Fatma & Abid, Fathi, 2014. "Dynamic asset allocation for bank under stochastic interest rates," MPRA Paper 59295, University Library of Munich, Germany.
    5. Fatma Chakroun & Fathi Abid, 2015. "Optimal CAR simulation," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 2(04), pages 1-31, December.
    6. Adela Socol & Adina Dănuleţiu & Mihaela Aldea, 2009. "An Empirical Study Of Correlation Between Net Assets And Own Funds In The Romanian Banking System During 2001-2008," Annales Universitatis Apulensis Series Oeconomica, Faculty of Sciences, "1 Decembrie 1918" University, Alba Iulia, vol. 1(11), pages 1-48.
    7. Ryle S. Perera, 2020. "Provisions for bank deposit withdrawals and portfolio selection," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 1-32, March.

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