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An Optimal Portfolio and Capital Management Strategy for Basel III Compliant Commercial Banks
Joint Authors
Muller, Grant E.
Witbooi, Peter J.
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-19
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We model a Basel III compliant commercial bank that operates in a financial market consisting of a treasury security, a marketable security, and a loan and we regard the interest rate in the market as being stochastic.
We find the investment strategy that maximizes an expected utility of the bank’s asset portfolio at a future date.
This entails obtaining formulas for the optimal amounts of bank capital invested in different assets.
Based on the optimal investment strategy, we derive a model for the Capital Adequacy Ratio (CAR), which the Basel Committee on Banking Supervision (BCBS) introduced as a measure against banks’ susceptibility to failure.
Furthermore, we consider the optimal investment strategy subject to a constant CAR at the minimum prescribed level.
We derive a formula for the bank’s asset portfolio at constant (minimum) CAR value and present numerical simulations on different scenarios.
Under the optimal investment strategy, the CAR is above the minimum prescribed level.
The value of the asset portfolio is improved if the CAR is at its (constant) minimum value.
American Psychological Association (APA)
Muller, Grant E.& Witbooi, Peter J.. 2014. An Optimal Portfolio and Capital Management Strategy for Basel III Compliant Commercial Banks. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-493485
Modern Language Association (MLA)
Muller, Grant E.& Witbooi, Peter J.. An Optimal Portfolio and Capital Management Strategy for Basel III Compliant Commercial Banks. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-493485
American Medical Association (AMA)
Muller, Grant E.& Witbooi, Peter J.. An Optimal Portfolio and Capital Management Strategy for Basel III Compliant Commercial Banks. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-493485
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493485