Profitability, Growth, and Different Flow Ratio Concepts: Implications for Failing Firms 1
Bibliographic record
Abstract
The objective is to develop a mathematical model of the firm to show the relationship between profitability, growth, and financial flow concepts especially under conditions for failing firms. It is assumed that revenue flows are generated by periodic expenditures growing at a steady rate. These revenue flows are described in terms of profitability (internal rate of return), growth, and time lag between invested expenditure and generated revenue flow. Three kinds of financial flow concepts are drawn: revenue-expenditure flow (quick flow), revenue-expense flow (earnings), and cash flow. Earnings are drawn for three depreciation theories: proportional, rate of return, and compound interest depreciation. For each concept, flow ratios are drawn and compared with each other. Theoretical results are illustrated by empirical data from Finnish non-failing and failing firms. JEL Classifications: G G3 32, , M41 1, G G3 33, , C65
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.005 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.000 | 0.002 |
| Scholarly communication | 0.002 | 0.004 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".