article · Advances in Differential Equations and Control Processes
This study introduces a new framework to analyse how African listed firms adjust their capital structure, moving beyond traditional models that assume continuous adjustment. The framework uses an (S,s) target-zone approach, recognising that firms tolerate leverage drift within an "inaction band" and only refinance when specific upper or lower thresholds are crossed. It jointly estimates target leverage, refinancing thresholds, and the width of this inaction band. Using data from 15 African stock exchanges, the research found that firms exhibit significant (S,s) behaviour, with long periods of stable leverage interrupted by sudden refinancing. Inaction bands expand with volatility and financing deficits but shrink with better liquidity, creditor protection, governance, and market depth. Deleveraging adjustments were more common than increasing leverage. The model outperforms conventional methods, highlighting the nonlinear, state-dependent nature of leverage adjustment in African firms.
Understanding how African firms manage their debt and equity is crucial for economic stability and growth. This research provides a more realistic model of their financing decisions, considering the unique challenges of African markets. This insight can inform better financial policies and investment strategies, supporting more resilient corporate sectors.
This research provides an advanced analytical framework for understanding corporate financing behaviour in African markets. Financial institutions, regulators, and investment analysts could use this model to better assess firm-level financial risk, predict refinancing events, and inform capital allocation strategies. It is an applied research tool, offering improved predictive capabilities for financial decision-making, particularly relevant for organisations operating in or investing in African economies.
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This study develops a joint-estimation framework for analysing state-dependent capital structure dynamics in African listed firms within an (S,s) target-zone setting. Unlike conventional speed-of-adjustment models that assume continuous convergence towards an optimal leverage ratio, the proposed framework allows firms to tolerate leverage drift within an inaction band and undertake refinancing only when upper or lower leverage thresholds are breached. The model jointly estimates target leverage, refinancing thresholds, and inaction-band width using dynamic panel techniques, constrained nonlinear estimation, and a state-dependent refinancing hazard with bootstrap-robust inference. The African setting provides a particularly suitable environment for investigating such dynamics because firms face episodic access to capital markets, exchange-rate and inflation shocks, shallow debt markets, and heterogeneous institutional environments that elevate refinancing frictions and encourage discontinuous adjustment behaviour. Empirical analysis is conducted using an unbalanced panel of listed non-financial firms from fifteen African stock exchanges over 1999–2024. The results reveal pronounced (S,s) behaviour characterised by wide periods of leverage inertia punctuated by discrete refinancing interventions. Inaction bands widen with firm-level volatility, financing deficits, and market-timing opportunities, but narrow significantly with liquidity, creditor-rights protection, governance quality, and market depth. Additional evidence indicates that upper-brink adjustments occur substantially more frequently than lower-brink adjustments, suggesting that deleveraging pressures dominate leverage-increasing episodes in African markets. Extensive Monte Carlo experiments, including misspecification tests against linear adjustment processes, demonstrate superior bias, RMSE (Root Mean Square Error), coverage, and classification performance relative to conventional alternatives while avoiding spurious threshold detection. The findings highlight the importance of institutional quality and financial-market development in shaping corporate refinancing behaviour and provide new evidence that leverage adjustment in African firms is inherently nonlinear, state dependent, and threshold driven.
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DOI: 10.59400/adecp4670
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