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我叫仙人涨 · 2021年08月21日

题目的phase方式不同

NO.PZ2018011501000006

问题如下:

In the private wealth area, the firm has designed five sub-portfolios with differing asset allocations that are used to fund different client goals over a five-year horizon. Exhibit 3 shows the expected returns and volatilities of the sub-portfolios and the probabilities that the sub-portfolios will exceed an expected minimum return. Client Luis Rodríguez wants to satisfy two goals. Goal 1 requires a conservative portfolio providing the highest possible minimum return that will be met at least 95% of the time. Goal 2 requires a riskier portfolio that provides the highest minimum return that will be exceeded at least 85% of the time.

Exhibit3 Characteristics of Sub-portfolios

Based on Exhibit 3, which subportfolios best meet the two goals expressed by client Rodríguez?

选项:

A.

Subportfolio A for Goal 1 and Subportfolio C for Goal 2

B.

Subportfolio B for Goal 1 and Subportfolio C for Goal 2

C.

Subportfolio E for Goal 1 and Subportfolio A for Goal 2

解释:

A is correct.

Goal 1 requires a success rate of at least 95%, and Subportfolio A has the highest minimum expected return (2.05%) meeting this requirement. Goal 2 requires the highest minimum expected return that will be achieved 85% of the time. Subportfolio C meets this requirement (and has a minimum expected return of 3.26%).

考点:goal-based approach

解析:Goal 1要求的成功概率为至少95%,Goal 2要求的成功概率为至少85%。95%的概率下,2.05%比1.75%,1.06%,0.25%,-0.6%都要大,所以Goal 1的highest minimum expected return为2.05%。同理,在85%的概率下, 3.26%是一行中最大的收益率,所以Goal 2的highest minimum expected return为 3.26%。它们对应的sub-portfolio是A和C。因此A选项正确。

老师, 两个目标,答案选的都是在success rate下面,找一个rate of return最大的,但是题目phase的方法确不一样,一个说在这个success rate的前提下是保守的要超过mini return,一个是在这个success rate的前提下找riskest,所以不管题目phase成什么,比如超过minimum return或者riskest,都是在success rate的前提下去找最高的return对么?

1 个答案

pzqa015 · 2021年08月22日

嗨,爱思考的PZer你好:


同学你好

只要是goal based方法下,在一定成功概率下找riskest或者最高的minimum return,都是选择minimum return最大的portfolio。

因为riskest本身就要求高收益。

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