Theoretical Foundation of Financial Liabilities Audit Quality Via a Mathematical Model Applied to Risk Assessment and Specific Audit Procedures

Abstract

The assessment of risks related to financial liabilities in the audit of financial statements is still facing more often with problems related to subjectivity, lack of quantitative benchmarks and pressure on auditors. Without a unified methodological framework, professional decisions become difficult to document and compare, which affects the transparency and quality of the audit process. In this context, the present research aims to develop and validate a mathematical model that transforms key concepts such as the level of risk, the intensity of the procedures applied and the quality of the auditor's decisions into measurable and quantifiable variables. The study was carried out in three stages: theoretical analysis of risks and ethical dilemmas, construction of a well-structured mathematical model, and development of a scaled form for risk and procedure assessment. The proposed model provides a logical, coherent and reproducible framework for substantiating auditor's decisions, contributing to the standardization of professional reasoning and strengthening ethics in financial debt auditing. The empirical validation of the model through application in practical cases will be the subject of future research, aimed at testing the consistency of the functional relationships and calibrating the scores in real audit contexts. UDC: 519.876.2:657.6; JEL: M42