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Wuyyyyyy · 2023年07月03日

怎么看这题考的哪个公式呢

* 问题详情,请 查看题干

NO.PZ202206210100000201

问题如下:

Which of the portfolios provided in Exhibit 1 has the highest probability of enabling Shipman to meet his goal for the vacation home?

选项:

A.Portfolio 1

B.Portfolio 2

C.Portfolio 3

解释:

Solution

B is correct. Portfolio 2 has the highest probability of enabling Shipman to meet his goal for the vacation home. All three of the portfolios’ expected returns over the next year exceed the 6.0% (see calculations below) required return threshold to avoid reducing the portfolio. However, on a risk-adjusted basis, Portfolio 2 (probability ratio of 0.231) has a higher probability of meeting and surpassing the threshold than either Portfolio 1 (probability ratio of 0.175) or Portfolio 3 (probability ratio of 0.225).


RP = The return for the portfolio

RL = The required return threshold

σP = The standard deviation of the portfolio

Portfolio 1: (10.50% – 6.0%) ÷ 20.0% = 4.50% ÷ 20.0% = 0.225.

Portfolio 2: (9.00% – 6.0%) ÷ 13.0% = 3.00% ÷ 13.0% = 0.231. (Highest)

Portfolio 3: (7.75% – 6.0%) ÷ 10.0% = 1.75% ÷ 10.0% = 0.175.

A is incorrect. Portfolio 1 was chosen because it has the highest projected return.

C is incorrect. Portfolio 3 was chosen because it has the lowest projected standard deviation.

题中也没有说是否用Sharpe ratio

那我更应该用哪个比率呢

2 个答案

lynn_品职助教 · 2023年07月23日

嗨,爱思考的PZer你好:


是的 谢谢同学的纠正,这道题要求最少要达到6%,是符合SF ratio。

Young 的目标:在没有承担更多风险的前提下,每年税后收益至少达到 6%(capital gains tax rate 25%)。


资产规模:$5.5 million; 


限制:a $500,000 minimum investment requirement for alternative assets。 


根据投资限制,如果配置 alternative assets(比如 Private Equity),至少投资$500,000,所以占到总资产的比重至少为$500,000/$5.5 million=9.09%。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

lynn_品职助教 · 2023年07月04日

嗨,努力学习的PZer你好:


主要是看题干信息,和题目给的条件,想这道题,它给出的条件刚好可以计算sharpe


所以对各个比率都要熟悉


其次一般第一时间都会想到sharpe,因为在实务中它也很实用,简单好用,居家旅行必备。

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努力的时光都是限量版,加油!

willhunting · 2023年07月23日

这个解答错了吧,Shapre ratio用的是Rf,这道题用的是RL,考察的是Safety-first ratio

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