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Optimal CAR simulation

Author

Listed:
  • Fatma Chakroun

    (University of Sfax, Faculty of Economics and Management, UR)

  • Fathi Abid

    (University of Sfax, Faculty of Economics and Management, UR)

Abstract

The present paper is conceived to expose a new model of bank capital adequacy. Our analysis highly relies on the dynamics of the capital adequacy ratio (CAR) as computed from balance sheet items, namely, loans, securities and bank regulatory capital, in a stochastic dynamic setting. In addition, an attempt is made to demonstrate how the CAR can be optimized in terms of asset allocation and the rate at which the bank remains solvent. Consequently, a dynamic programming principle has been applied to solve the Hamilton–Jacobi–Bellman (HJB) equation explicitly in the case of CRRA utility function. The parameters’ estimation is based on the maximum likelihood method, using Tunisian data relevant to the period 2004–2012. As regard computations, they are carried out in MATLAB. The simulation results have shown the model relevance as a decision tool for bank risk management. Moreover, the relationship persisting between the macroeconomic activity and the bank capital adequacy has also been discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:ijfexx:v:02:y:2015:i:04:n:s2424786315500358
    DOI: 10.1142/S2424786315500358
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    1. Eva Catarineu-Rabell & Patricia Jackson & Dimitrios Tsomocos, 2005. "Procyclicality and the new Basel Accord - banks’ choice of loan rating system," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 537-557, October.
    2. Hackbarth, Dirk & Miao, Jianjun & Morellec, Erwan, 2006. "Capital structure, credit risk, and macroeconomic conditions," Journal of Financial Economics, Elsevier, vol. 82(3), pages 519-550, December.
    3. Chami, Ralph & Cosimano, Thomas F., 2010. "Monetary policy with a touch of Basel," Journal of Economics and Business, Elsevier, vol. 62(3), pages 161-175, May.
    4. Claudio Borio & Craig Furfine & Philip Lowe, 2001. "Procyclicality of the financial system and financial stability: issues and policy options," BIS Papers chapters, in: Bank for International Settlements (ed.), Marrying the macro- and micro-prudential dimensions of financial stability, volume 1, pages 1-57, Bank for International Settlements.
    5. Dangl, Thomas & Lehar, Alfred, 2004. "Value-at-risk vs. building block regulation in banking," Journal of Financial Intermediation, Elsevier, vol. 13(2), pages 96-131, April.
    6. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    7. Kahane, Yehuda, 1977. "Capital adequacy and the regulation of financial intermediaries," Journal of Banking & Finance, Elsevier, vol. 1(2), pages 207-218, October.
    8. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    9. Koehn, Michael & Santomero, Anthony M, 1980. "Regulation of Bank Capital and Portfolio Risk," Journal of Finance, American Finance Association, vol. 35(5), pages 1235-1244, December.
    10. Jean-Charles Rochet, 2004. "Rebalancing the three pillars of Basel II," Economic Policy Review, Federal Reserve Bank of New York, issue Sep, pages 7-21.
    11. Rochet, Jean-Charles, 1992. "Capital requirements and the behaviour of commercial banks," European Economic Review, Elsevier, vol. 36(5), pages 1137-1170, June.
    12. Pyle, David H, 1971. "On the Theory of Financial Intermediation," Journal of Finance, American Finance Association, vol. 26(3), pages 737-747, June.
    13. 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.
    14. Kim, Daesik & Santomero, Anthony M, 1988. " Risk in Banking and Capital Regulation," Journal of Finance, American Finance Association, vol. 43(5), pages 1219-1233, December.
    15. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    16. Decamps, Jean-Paul & Rochet, Jean-Charles & Roger, Benoit, 2004. "The three pillars of Basel II: optimizing the mix," Journal of Financial Intermediation, Elsevier, vol. 13(2), pages 132-155, April.
    17. Jarque, Carlos M. & Bera, Anil K., 1980. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals," Economics Letters, Elsevier, vol. 6(3), pages 255-259.
    18. Oliver D. Hart & Dwight M. Jaffee, 1974. "On the Application of Portfolio Theory to Depository Financial Intermediaries," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(1), pages 129-147.
    19. Brodt, Abraham I., 1978. "A dynamic balance sheet management model for a Canadian chartered bank," Journal of Banking & Finance, Elsevier, vol. 2(3), pages 221-241, October.
    20. Jin‐Chuan Duan, 1994. "Maximum Likelihood Estimation Using Price Data Of The Derivative Contract," Mathematical Finance, Wiley Blackwell, vol. 4(2), pages 155-167, April.
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