This study investigates the dynamics of a stochastic hyperbolic discounting model in a continuous-time framework to address the complexities associated with the corporate international investment consumption problem (CIICP). By formulating a dynamic programming equation based on the principles of dynamic programming, we seek to untangle the intricacies of CIICP by incorporating log utility. Our research provides valuable insights into the economic ramifications of the proposed model and presents a comprehensive analysis of numerical sensitivities. This investigation not only contributes to a deeper understanding of the CIICP phenomenon but also contributes to more informed decision-making within the field.

中文翻译：

---

随机双曲线贴现企业国际投资与消费问题的最优策略

本研究研究了连续时间框架中随机双曲贴现模型的动态，以解决与企业国际投资消费问题 (CIICP) 相关的复杂性。通过根据动态规划原理制定动态规划方程，我们试图通过结合日志效用来理清 CIICP 的复杂性。我们的研究为所提出模型的经济影响提供了宝贵的见解，并对数值敏感性进行了全面分析。这项调查不仅有助于更深入地了解 CIICP 现象，而且有助于在该领域做出更明智的决策。