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超超 · 2025年01月06日

老师 为什么这个看75th的

NO.PZ2023010410000002

问题如下:

A client plans to retire after 10 years. His investment manager estimates that the client will need $200000 after 10 years. According to Monte Carlo simulation, the amount of the client's property after 10 years is shown in the table below. According to the results of Monte Carlo simulation, customers need 75% success probability.


Please judge whether the customer has achieved the retirement goal. If not, please give suggestions for improvement

选项:

解释:

The table illustrates portfolio values (adjusted for inflation) at specific time intervals and at certain percentiles of the thousand trials. Wealth managers tend to guide clients toward a 75%probability of success percentile indicates that in 75% of the trials, the portfolio value after 10 years exceeded 180,923, which is lower than the 200,000 goal. So the customer may not achieve the retirement goal.

Potential solutions when the probability of success falls below an acceptable range:

Increasing contributions

Reducing the goal amount

Delaying the timing of a goal (e.g., retiring a few years later, like 15 years later)

Adopting an investment strategy with higher expected returns, albeit within the client’s acceptable risk tolerance and risk capacity

75th是概率吗,置信度还是什么

1 个答案

费费_品职助教 · 2025年01月07日

嗨,从没放弃的小努力你好:


同学你好

因为题干里要求According to the results of Monte Carlo simulation, customers need 75% success probability.即根据蒙特卡罗模拟的结果,客户需要 75% 的成功概率。

表格的第一列可以理解为概率,比如75th百分位数在 10 年后的投资组合价值为 180,923,这意味着 75% 的模拟结果显示 10 年后的投资组合价值将超过 180,923

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