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皓月 · 2025年04月25日

有一点很奇怪

* 问题详情,请 查看题干

NO.PZ201805280100000302

问题如下:

A broker proposes to Young three portfolios, shown in Exhibit 1. The broker also provides Young with asset class estimated returns and portfolio standard deviations in Exhibit 2 and Exhibit 3, respectively. The broker notes that there is a $500,000 minimum investment requirement for alternative assets. Finally, because the funds in the money market account are readily investible, the broker suggests using that account only for this initial investment round.


Young wants to earn at least 6.0% after tax per year, without taking on additional incremental risk. Young’s capital gains and overall tax rate is 25%.

Determine which proposed portfolio most closely meets Young’s desired objectives. (Circle one.) Justify your response.


选项:

解释:



即使Portfoilo 1 的期望远比 3,高,但是波动率高了就不选,这里要用到sharp ratio的知识吗?

1 个答案

Lucky_品职助教 · 2025年04月25日

嗨,从没放弃的小努力你好:


在判断投资组合是否符合要求时,虽然题目中未明确要求使用Sharpe Ratio,但夏普比率确实能更全面地评估投资组合的表现,对决策有一定帮助。

题目主要依据投资组合的标准差和收益来判断。Portfolio 1 虽然期望收益高,但波动率比 Portfolio 3 大很多,不符合 Young “不承担额外增量风险” 的要求,所以被排除。这种分析方式直接对比了风险和收益,是一种简单直观的判断方法。

夏普比率的计算公式为:(投资组合预期收益率 - 无风险利率)/ 投资组合标准差。它能在考虑风险和收益的基础上,进一步衡量单位风险所带来的超额收益。在本题中,若计算出三个投资组合的夏普比率,能更精确地比较它们的性价比。例如,Portfolio 1 虽然预期收益高,但由于波动率大,其夏普比率可能并不如表面上看起来那么有优势;而 Portfolio 3 虽然收益相对 Portfolio 1 低一些,但较低的标准差可能使其夏普比率更高,意味着在同等风险下能获得更高的超额收益,更符合 Young 的需求。


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