Abstract: The present paper deals with the issue of bank capital adequacy and risk management
within a stochastic dynamic setting. In particular, an explicit risk aggregation and capital
expression is provided regarding the portfolio choice and capital requirements special context.
Such a framework leads to a nonlinear stochastic optimal control problem whose solution may
be determined by means of dynamic programming algorithm. The pertaining analysis relies
heavily on the stochastic dynamic modeling of such balance sheet items as securities, loans and
regulatory capital with stochastic interest rates. In this respect, the special Kalman filter
approach is used for the purpose of estimating the model parameters. The reached findings
reveal well that the Tunisian bank, subject of study, generally exceeds the minimum
requirements and is adequately capitalized to maintain the appropriate capital amount level
commensurate with the aggregate risk. Besides, empirical evidence on the regulations’ impact
on driving bank capitalization and risk-taking behavior has also been highlighted.