Quasi-Maximum Likelihood for Estimating Structural Models
Ben-Abdellatif Malek (),
Ben-Ameur Hatem (),
Chérif Rim () and
Fakhfakh Tarek
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Ben-Abdellatif Malek: Department of Finance, School of Business, 199311 ESLSCA University , Giza 12511, Egypt
Ben-Ameur Hatem: Department of Decision Sciences, HEC Montréal, Montréal H3T 2A7, Canada
Chérif Rim: Department of Management, School of Business, The American University of Cairo, New Cairo 11835, Egypt
Fakhfakh Tarek: Faculty of Economics and Management, University of Sfax, Road of the Airport 4, 3018, Sfax, Tunisia
Studies in Nonlinear Dynamics & Econometrics, 2025, vol. 29, issue 4, 437-446
Abstract:
The estimation of the structural model poses a major challenge because its underlying asset (the firm asset value) is not directly observable. We consider an extended structural model that accommodates alternative underlying Markov processes, arbitrary debt payment schedules, several seniority classes, multiple intangible assets, and various intangible corporate securities. We derive the likelihood function given the observed time series of the firm equity values. Then, we use dynamic programming to solve the model and, simultaneously, extract the associated time series of the firm asset values (the pseudo-observations). Finally, the likelihood function is approximated and optimized, which results in the quasi-maximum likelihood (QML) estimates of the model’s unknown parameters. QML is highly flexible and effective. To assess our construction, we perform an empirical investigation, highlight the credit-spread puzzle, and discuss a partial remedy via jumps and bankruptcy costs.
Keywords: structural model; estimation; quasi-maximum likelihood; jump-diffusion processes; credit-spread puzzle (search for similar items in EconPapers)
JEL-codes: C13 C51 C61 C63 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1515/snde-2023-0052
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