Abstract
In business, enterprises need to maintain stable cash ows to meet the demands for payments in order to reduce the probability of possible bankruptcy. In this paper, we propose the optimal cash holding models in terms of continuous time and managers' risk preference in the framework of stochastic control theory in the setting of cash balance accounting with the interval of a safe area for cash holdings. Formulas for the optimal cash holdings are analytically derived with a widely used family of power utility functions. Our models can be seen as an extension of Miller-Orr model to solve the cash holding problem of continuous time from the accounting perspective. Numerical examples are also provided to illustrate the feasibility of the developed optimal cashing holding models of continuous time. © 2017 American Institute of Mathematical Sciences.
| Original language | English |
|---|---|
| Pages (from-to) | 1-17 |
| Journal | Journal of Industrial and Management Optimization |
| Volume | 14 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2018 |
| Externally published | Yes |
Bibliographical note
Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].Research Keywords
- Cash balance
- Cash management of continuous time
- Interval of safe area
- Optimal cash holdings
- The HJB equation