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洁1017 · 2024年07月14日

基础班讲义的知识点定位?

NO.PZ2022122801000032

问题如下:

PZ endowment’s overall investment objective is to maintain its portfolio’s real purchasing power after distributions.

• The risk-free rate is 2%.

• An expected inflation rate is 1.5%.

• The cost of earnings investment returns is 50 bp.

• PZ targets a 3% annual distribution of assets.

Exhibit 1 gives key outputs from a mean–variance optimization in which asset class weights are constrained to be non-negative.

To achieve PZ’s expected return, the most appropriate percentage for PZ’s investment in corner portfolio is:

选项:

A.

77%

B.

61%

C.

51%

解释:

PZ’s assets shall be invested with the objective of earning an average nominal 5.07% annual return. This level reflects a spending rate of 3%, an expected inflation rate of 1.5%, and a 50bp cost of earning investment returns. The calculation is (1.03)(1.015)(1.005)−1 = 0.0507, or 5.07%.

Note that Portfolio 4 has the highest Sharpe ratio and is the tangency portfolio. With an expected return of 5.07%, it can be combined with the risk-free asset, with a return of 2%, to achieve an expected return of 5.07%:

5.07% = 6%w + 2%×(1−w)

w = 76.75%

Placing about 77% of assets in Portfolio 4 and 23% in the risk-free asset achieves an efficient portfolio with expected return of 5.07%.

老师,先求objective expected return的知识点在AA基础班讲义哪里有提到呀?为什么要用这几个进行加总?为什么不再考虑Rf?

1 个答案
已采纳答案

lynn_品职助教 · 2024年07月15日

嗨,从没放弃的小努力你好:


这个考点AA和机构IPS都有,但是教材和讲义上没有专门写,因为机考改革后,大纲这部分的削弱了好多,这里可以用加法,来近似算投资收益:5.5%(Spending) + 3.5%(Inflation)+ 0.5%(Cost of investment)


也可以用乘法算精确的投资收益:(1+5.5%)(1+3.5%)(1+0.5%)

不用rf是因为计算expected return不需要和rf一起组合哈,是两个概念的。


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