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程卤蛋蛋 · 2024年10月27日

AO的一个缺点不就是用SHARP RATIO无法衡量下行风险吗?为什么还合适呢

No.PZ2022122801000006 (问答题)

来源: 经典题

Rohan Roggen is the founder of a successful business in Europe. Roggen also created the Roggen Family Charitable Foundation (RFCF) to fund projects in perpetuity that will provide clean drinking water in developing countries.

RFCF’s current portfolio is valued at EUR 250 million, with 50% in equities and 50% in fixed income. The portfolio’s equity holdings are in a fund tracking a broad index of EUR-denominated stocks; the fixed-income holdings are in a fund tracking an all-maturity index of EUR- denominated government bonds. Roggen rebalances the foundation’s portfolio every six months.

Roggen hires Michaela Loucks, an investment consultant, to advise on RFCF’s asset allocation and investments. Roggen explains that he wants the foundation to achieve the following objectives:

Ÿ Spend at least 3% of the fund’s beginning value on projects each year in order to satisfy a legal requirement.

Ÿ As part of this annual distribution, spend at least EUR 5 million (inflation-adjusted) each year on projects in emerging countries in Europe.

Ÿ Minimize the likelihood of a decline in the portfolio’s value of more than 10% in any single year.

Loucks recommends that RFCF establish an IPS and globally diversify its portfolio. She discusses with Roggen the asset-only (AO) and asset/liability management (ALM) approaches to setting RFCF’s policy asset allocation.

A. Discuss why each of the following approaches could be appropriate in setting RFCF’s policy asset allocation:

i. AO

ii. ALM

1 个答案
已采纳答案

Lucky_品职助教 · 2024年10月28日

嗨,从没放弃的小努力你好:


同学你好:


无法衡量下行风险,不是AO的缺点,是 Sharpe Ratio 的缺点,和AO或是MVO没有关系,如果要解决这个问题,可以使用索提诺比率(Sortino Ratio),它与夏普比率类似,但在计算风险时,只考虑下行波动。


关于答案解析中,有三个原因可以解释为什么AO是合适的,第二个reason比较简单,所以我解释一下第一个和第三个。


1. 只要spending rate是percentage of fund value,而非fixed amount,就建议用AO。

答案中的第一个理由想表达的意思是:spending是一个比例而不是一个绝对的数值。如果fund value=100m, 3%是3m,如果fund value=50m, 3%是1.5m,这里的3m, 1.5m会随着fund value 而减少。所以相对于要求foundation每年一定要花一个固定的数字(fixed amount),比如,不管fund value是多少,每年必须花3m。这两种情况对比,spending是一个比例的要求没有很苛刻,如果某一年投资亏了,从数值上来看,可以少花钱,所以更适合用AO。

 

3. 如果想要这个foundation永久operate下去也建议用AO。

这是从AO通常投资更多的equity,ALM通常投资更多的fixed income来回答的。equity与fixed income相比,equity风险略高,但是有成长空间,有成长空间的意思是fund value会变大,剔除了通胀,资产规模还是在变大的。ALM主要是cover liability,为了cover 未来的现金流支出,所以投资了某些债券,更像是保值,而不是稳健成长。


这道题目在经典题有讲过,有答案版第8页,同学可以听一下。


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努力的时光都是限量版,加油!

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