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Décamps, Jean-Paul
and Villeneuve, Stéphane
(2022)
Learning about profitability and dynamic cash management.
Journal of Economic Theory, vol. 205.
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Abstract
We study a dynamic model of a firm whose shareholders learn about its profitability, face costs of external nancing and costs of holding cash. The shareholders' problem involves a notoriously challenging singular stochastic control problem with a two-dimensional degenerate diffusion process. We solve it by means of an explicit construction of its value function, and derive a corporate life-cycle with two stages: a "probation stage" where it is never optimal for the firm to issue new shares, and a "mature stage" where the firm resorts to the market whenever needed. The cash target level is non-monotonic in the belief about the profitability and reaches its highest value on the edge between the two stages. It follows new insights on the firm's volatility and its payout ratio which depend on the firm's stage in its life cycle.
| Item Type: | Article |
|---|---|
| Language: | English |
| Date: | October 2022 |
| Refereed: | Yes |
| Place of Publication: | Brugge |
| Uncontrolled Keywords: | Corporate cash management, Corporate life cycle, Learning, Singular control |
| JEL Classification: | C02 - Mathematical Methods C11 - Bayesian Analysis C61 - Optimization Techniques; Programming Models; Dynamic Analysis G32 - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure G33 - Bankruptcy; Liquidation G35 - Payout Policy |
| Subjects: | B- ECONOMIE ET FINANCE |
| Divisions: | TSE-R (Toulouse) |
| Site: | UT1 |
| Date Deposited: | 01 Sep 2022 14:07 |
| Last Modified: | 18 Jul 2023 11:50 |
| OAI Identifier: | oai:tse-fr.eu:127243 |
| URI: | https://publications.ut-capitole.fr/id/eprint/46243 |
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Learning about profitability and dynamic cash management. (deposited 10 Feb 2022 09:02)
- Learning about profitability and dynamic cash management. (deposited 01 Sep 2022 14:07) [Currently Displayed]
