投資者通常無法准確地把握投資期限，因為投資大多時候會因為 某些意想不到的事情而終止，例如投資代理死亡。但有時他們會知道 一些與投資期限相關的信息，並由此來決定投資策略。在這篇文章中， 我們把重點放在分析和討論股票收益率預測性、模型參數不確定性和 投資期限不確定性等因素對於投資策略的影響上。這個研究包含了兩 個不同的投資方式。首先，我們通過一個離散的資產分配模型提出了 買入持有策略，即在投資結束前不會改變資產分配權重；另一方面， 對於資產分配權重隨?時間變動的動態模型，我們將用到連續時間模 型。我們嘗試找出二者的最佳投資策略，從而使得在投資結束時所獲 得的總收益達到最大。 Mostly, investors fail to accurately determine the length of the investment horizon. In many cases, the investment will stop because of some unexpected accidents such as the death of the agent. But sometimes they may have other informations related to the length of horizon which can give them an access to optimize their portfolio strategies. In this paper, we concentrate on investigating how will the portfolio strategies be e ected by the stochastic time-horizon and other two uncertainties including returns predictability and parameter uncertainty. Our research will involve two di erent investment philosophies. Firstly, we analyse the buy-and-hold strategy by a discrete-time model so that the portfolio choice can be static until the investment gets nished. On the other hand, we propose the continuous-process when considering the allocation weights are dynamic which means the strategies will be changed over time. Our primary purposes for both of them are trying to nd the optimal strategies which can maximize the wealth in terminal time.
