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Dynamic loan portfolio management in a three time step model (2501.07856v1)

Published 14 Jan 2025 in q-fin.RM

Abstract: This paper studies the bank dynamic decision problem in the intermediate time step for a discrete-time setup. We have considered a three-time-step model. Initially, the banks raise money through debt and equity and invest in different types of loans. It liquidates its assets and raises new funds at the intermediate-time step to meet the short-term debt holders claim. Further, it has to meet specific capital requirements given by the regulators. In this work, we have theoretically studied the effect of raising new equity and debt. We show that in some cases, raising equity and debt may increase the return on equity, and in some cases, it may decrease the return on equity. We have discussed several cases and given a bound on the capital that can be raised. We have added an equity holders constraint, which ensures the return on equity and desists the bank from defaulting at the final time point.

Summary

  • The paper presents a three-step discrete model for managing dynamic loan portfolios while addressing Basel III regulatory constraints.
  • It demonstrates how varying asset risk profiles and leverage ratios directly influence capital structure and return on equity.
  • Findings reveal that optimal asset allocation can mitigate high debt risks, though new equity issuance may dampen returns.

An Examination of Dynamic Loan Portfolio Management in a Three Time-Step Model

This paper by Deb Narayan Barik and Siddhartha P. Chakrabarty explores dynamic loan portfolio management through a discrete-time model comprising three time steps. The primary focus is to address how banks might optimize returns while adhering to regulatory requirements imposed by financial oversight bodies like the Basel Committee on Banking Supervision.

Model and Methods

The authors introduce a bank decision-making model that incorporates the generation of capital from debt and equity at two distinct points: the initial time step and an intermediate time step. The model considers three asset types in the bank’s investment portfolio: one safe and two risky assets, each with distinct risk levels, thereby simulating potential scenarios wherein different combinations of asset defaults are possible.

Integral to this model is the leverage ratio, a measure introduced in Basel III as a counter-cyclical capital control aimed at reducing systemic risk and credit bubbles. Here, the purpose is to curb excessive leverage and engender financial stability across banking systems by balancing equity and debt in capital generation.

Theoretical Insights

The research findings illustrate that leverage and capital structure dynamically impact banks' financial stability and return metrics. Notably, the authors identify conditions under which new equity issuance might detrimentally affect the return on equity, hypothesizing that higher leverage (with more debt) may amplify the effects of economic downturns due to elevated financing costs. This aligns with existing literature on capital structure where leverage amplifies both gains and losses due to its inherent financial risks.

The authors further elucidate the implications of regulatory constraints. The Leverage Ratio, while stabilizing from a systemic perspective, can impose limitations on banks' ability to leverage due to its stiffness. However, as noted in the findings, the equity holders' constraint helps prevent banks from defaulting, especially in adverse economic conditions, suggesting a cautious balance between regulatory requirements and risk-taking behavior.

Practical and Theoretical Implications

Practically, the proposed model offers a predictive mechanism for banks to adjust their asset portfolios in real-time and optimize capital structure, considering impending regulatory stipulations. This aligns bank behavior with suggested practices that emphasize robustness even amidst market fluctuations, thus potentially safeguarding stakeholder interests in the banking sector.

From a theoretical standpoint, the findings challenge some traditional views on capital structure by integrating counter-cyclical measures and demonstrating their efficacy in a modeled scenario, which is highly relevant given ongoing discussions regarding Basel III implementation. The paper enhances academic discourse with empirical evidence supporting the strategic issuance of equity as a response to stringent leverage conditions.

Future Directions

Future research may extend this model by incorporating stochastic interest rates or expanding the number of time steps, thereby adding complexity and realism to the simulations. Moreover, extending the model to other financial sectors could yield insights pertinent to regulatory discussions beyond traditional banking.

In conclusion, Barik and Chakrabarty's paper provides a comprehensive framework to understand bank dynamics under regulatory constraints, presenting significant insights into optimizing loan portfolios while maintaining financial diligence. By balancing practical constraints with theoretical advancement, it contributes meaningfully to contemporary dialogues on banking regulations and financial stability.

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