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常常 · 2025年01月23日

用加法还是用乘法

No.PZ2022122801000008 (选择题)

来源:

A few months later, Carson receives a phone call from Hamidah. She’s now on the board of trustees of Artic Foundation for Medical Research (AFMR). AFMR was established to support various medical research initiatives. She is very excited and asks Carson to help identify the return objective of AFMR’s portfolio. Osaka notes the following:

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

• The risk-free rate is 4.0%.

• An expected inflation rate is 3.5%.

• The portfolio’s standard deviation is 15.0%.

• The cost of earnings investment returns is 50 bp.

• AFMR targets a 5.5% annual distribution of assets.

AFMR’s return objective is closest to: (2020 mock PM)


这道题为什么不用加法而用乘法呢?

1 个答案

Lucky_品职助教 · 2025年01月23日

嗨,从没放弃的小努力你好:


同学你好:


这道题考察的是,如何计算 目标收益率,return objective

总结一下对于目标是Support in perpetuity、并且Maintain the purchasing power(real value)的Endowment/Foundation,计算Required return时,公式是:

近似的算法:Spending+Inflation+management fee=nominal return

也可以用乘法算精确的:(1+spending rate)×(1+inflation)×(1+cost of earning)=(1+nominal return) 

这两种算法,大概率考试的时候是让我们用乘法算精确的,也就是算geometric return,但是如果同学考试的时候用精确的算法答案不在选项中,那就再用近似的算法再算一下。

 

这道题中distribution就是spending的部分。

这个计算就不要考虑rf了,因为AFMR要求每年的distribution是5.5,意思就是说他的收益率最低最低要达到这个5.5,这5.5不是风险溢价,相当于是一个total return,无风险利率4已经包含在5.5中了,因此不再次加入计算了。

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