Free Cash Flow and Managerial Entrenchment: A Continuous-Time Stochastic Control-Theoretic Model
Bibliographic record
Abstract
In this paper, we formulate a model prescribing optimal policy for cash disbursements and seasoned equity offerings taking into account the principal-agent problems inherent in these decisions. In order to discipline managers, stockholders demand that excess free cash flow be disbursed either as cash dividends or through stock repurchases. Managers resist stockholders in this regard since they prefer to retain excess free cash flow in order to pursue personal interests and reduce the probability that the company will experience financial distress in the future. However, as a consequence of withholding cash disbursements, managers incur disutility due to the possibility that their control of the firm could be threatened by the market for corporate control. We model this situation as a stochastic impulse control problem, and succeed in finding an analytical solution. We derive several testable implications, some of which have not been fully addressed in the corporate finance literature.
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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 | 0.002 | 0.004 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.003 |
| Scholarly communication | 0.004 | 0.003 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.005 | 0.002 |
| Insufficient payload (model declined to judge) | 0.007 | 0.001 |
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".