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。
在计算需要 多少钱allocate在某个portfolio时用的折现率是minimum expected return,但是为什么在计算整个account的expected return还是用回各个portfolio的expected rate of return进行加权平均呢?感觉还挺矛盾的。