ALAALI OPTIMAL LEVERAGE MODEL (ALOM): A STRATEGIC FRAMEWORK FOR CAPITAL STRUCTURE OPTIMIZATION

Abstract

Introduction: Capital structure decisions require firms to balance the financial benefits of debt against default exposure, earnings volatility, liquidity pressure, and changing macro-financial conditions. Although existing capital structure research incorporates dynamic adjustment, default risk, and macroeconomic effects, an opportunity remains for an integrated benefit–risk structure that determines optimal leverage as financial and systemic conditions evolve.

Methods: This study develops the Alaali Optimal Leverage Model (ALOM) as a theoretical and mathematical capital structure model. ALOM begins with a general benefit–risk formulation and develops this logic within a stochastic firm-value setting incorporating continuous volatility, jump risk, leverage-dependent default exposure, and systemic-risk costs. The general dynamic optimization problem is formalized through a Hamilton–Jacobi–Bellman (HJB) structure. Under explicitly simplifying assumptions, including the exclusion of jump risk, a reduced-form leverage target and partial-adjustment mechanism are specified separately to represent gradual convergence toward a condition-dependent target. The model is examined through comparative statics, numerical illustration, and illustrative financial scenarios.

Results: The theoretical results indicate that the attractiveness of leverage increases with the economic benefits of debt and decreases as earnings volatility, systemic risk, and expected distress costs increase. Under the simplified no-jump specification, the leverage target decreases with volatility and distress costs, while the partial-adjustment mechanism predicts gradual rather than instantaneous convergence toward that target when adjustment frictions are present. The full stochastic specification additionally captures the effect of discontinuous systemic shocks on leverage decisions. Illustrative scenarios demonstrate the directional implications of changing benefit–risk configurations rather than empirically calibrated optimal leverage estimates.

Discussion: ALOM conceptualizes optimal leverage as a condition-dependent and dynamically adjustable financial position rather than a permanently fixed target. The simplified leverage target and adjustment path represent a restricted analytical specification and are not presented as the general closed-form solution to the full stochastic HJB problem. ALOM provides a theoretically testable foundation for subsequent firm-level calibration, empirical validation, and comparison with established capital structure models.