Quantitative Insight: Mathematical and Statistical Indices for Income, Profit, Growth, and Business Risk Assessment

Abstract

This paper offers an innovative, quantitative insight into business performance analysis, focusing on income, profit, growth, and business risk assessment variables. To achieve this, it proposes a set of Key Performance Indicators (KPIs) based on rigorous mathematical and statistical techniques. The relevance of this study lies in the need for a comprehensive evaluation of business performance, often misinterpreted due to a lack of robust indices. Such a gap can result in misguided business decisions, leading to untimely insolvencies, stagnation of growth, and erosion of profitability. The proposed KPIs aim to address essential aspects such as managerial income, often overlooked in conventional performance measures but having significant influence on business growth. Understanding income patterns can reveal the financial health of a company and potential discrepancies in income distribution, insights pivotal in attracting and retaining top managerial talent. The paper also addresses the need for a nuanced understanding of business risk, particularly insolvency risk, a dimension often inadequately handled by traditional risk assessment methods. The KPIs proposed incorporate innovative measures and risk factors to proactively manage potential business threats. Business growth assessment in this research takes an innovative approach as well, encompassing both quantitative and qualitative aspects. The study argues that such indices can offer a comprehensive understanding of a business's growth trajectory to inform  The authors are grateful for all the support from FAPEMAT (Process No.: FAPEMAT-PRO.000084/2023) which contributed significantly and financially to the realization of this work.