2020/08/24 by Dante Mata López, José Luis Pérez, López, Dante Mata +3
Economics, Econometrics and Finance · Mathematics · #Banking stability, regulation, efficiency #Credit Risk and Financial Regulations #FOS: Mathematics #Probability (math.PR) #Stochastic processes and financial applications #math.PR
paper · pdf · doi:10.48550/arxiv.2008.10651
arxiv created 2020/08/24 · openalex publication_date 2020/08/24 · arxiv updated 2020/08/26 · openalex created_date 2020/09/01 · openalex updated_date 2026/07/28
In this paper, we study the optimal capital structure model with endogenous bankruptcy when the firm's asset value follows an exponential Lévy process with positive jumps. In the Leland-Toft framework \citeLelandToft96, we obtain the optimal bankruptcy barrier in the classical continuous-observation model and the periodic-observation model, recently studied by Palmowski et al. \citepalmowski2019leland. We further consider the two-stage optimization problem of obtaining the optimal capital structure. Detailed numerical experiments are conducted to study the sensitivity of the firm's decision-making with respect to the observation frequency and positive jumps of the asset value.