Optimizing Net Profit for Banks with Interacting Loan Portfolios

T. Bosch, J. Mukuddem-Petersen, M. Mulaudzi, and M.A. Petersen (South Africa)

Keywords

Dynamic Modeling; Banks; Profit; Loss.

Abstract

In this conference paper, we investigate the profitability of a bank with interacting loan portfolios in a L´evy process setting. The main motivation for our study is the need to generalize the more traditional discreteand continuous time models of banking items such as profit. An important outcome of our research is an explicit stochastic model for nett income after taxes and before the cost of funds (NI ATBCF). This model enables us to characterize suband superoptimal NIATBCF in terms of the cost of funds. By way of conclusion, we provide a brief discussion of some of the financial economic aspects of the dynamic profitabil ity model deduced in the main body of the paper.

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