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思思 · 2022年04月11日

可以用nominal return来作比较得出不合适吗?

NO.PZ2019100901000016

问题如下:

The Prometheo University Scholarship Endowment (the Endowment) was established in 1950 and supports scholarships for students attending Prometheo University. The Endowment’s assets under management are relatively small, and it has an annual spending policy of 6% of the five-year rolling asset value.

Prometheo University recently hired a new chief investment officer (CIO). The CIO directs her small staff of four people to implement an investment policy review. Historically, the endowment has invested 60% of the portfolio in US equities and 40% in US Treasuries. The CIO’s expectation of annual inflation for the next 10 years is 2.5%.

The CIO develops nominal 10-year return assumptions for US Treasuries and US equities, which are presented in Exhibit 1.

Discuss whether the current investment policy is appropriate given the Endowment’s annual spending policy.

解释:

GUIDELINE ANSWER:

●●The policy is not appropriate.

●●The expected real return of 3.54% is less than the spending policy rate of 6%.

●●Therefore, the current allocation and investment objectives are not sustainable.

The nominal expected return on the current portfolio, according to the nominal return assumptions in Exhibit 1, is 6.04% per year (0.6 × 7.4% + 0.4 × 4.0% = 6.04%). The expected real return is approximately 3.54% (6.04% – 2.5% = 3.54%), which is below the 6% spending rate and the stated objective of a 6% real return. Therefore, this real return is not sufficient to meeting the spending policy, which makes the Endowment’s goals unsustainable. The Endowment will need to change its asset allocation to earn higher returns and/or lower its spending policy rate.

nominal spending rate=6%+2.5%=8.5%,nomial expected return=6.04%,which is less than the nominal spending rate.

1 个答案

发亮_品职助教 · 2022年04月12日

嗨,努力学习的PZer你好:


nominal spending rate=6%+2.5%=8.5%,nomial expected return=6.04%,which is less than the nominal spending rate.


理论上可以的。满足Spending需要实现6%收益,满足Inflation保值需要实现2.5%的收益,所以Endowment要实现其目标,最低Return是8.5%(Required return)。

而资产的Nominal return是6.04%,连最低要求都没达到,所以不选。


不过建议还是回归到和6%的Spending rate比较,原因是由Spending rate为起点,加上inflation以及其他费用之后,就变成了Nominal required return,这个Return是要实现Endowment目标的最低收益率。现在我们的考纲里没有求Nominal return的考点了,只有Spending rate的考点(Spending policy)。所以最好是就用Spending rate 6%进行比较。

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