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shirley_hd · 2020年01月18日

问一道题:NO.PZ2019100901000007

问题如下:

Azarov’s second meeting is with John Spintop, chief investment officer of the Wolf University Endowment Fund (the Fund). Spintop hired Westcome to assist in developing a new investment policy to present to the Fund’s board of directors. The Fund, which has assets under management of $200 million, has an overall objective of maintaining long-term purchasing power while providing needed financial support to Wolf University. During the meeting, Spintop states that the Fund has an annual spending policy of paying out 4% of the Fund’s three-year rolling asset value to Wolf University, and the Fund’s risk tolerance should consider the following three liability characteristics:

The Fund has a small investment staff with limited experience in managing alternative assets and currently uses the Norway model for its investment approach. Azarov suggests a change in investment approach by making an allocation to externally managed alternative assets—namely, hedge funds and private equity. Ten-year nominal expected return assumptions for various asset classes, as well as three proposed allocations that include some allocation to alternative assets, are presented in Exhibit 1.

Expected inflation for the next 10 years is 2.5% annually.

Which proposed allocation in Exhibit 1 would be most appropriate for the Fund given its characteristics?

选项:

A.

Allocation 1

B.

Allocation 2

C.

Allocation 3

解释:

C is correct.

Allocation 3 is the most appropriate allocation for the Fund. The annual expected returns for the three allocations are as follows:

Allocation 1 exp. return = (0.45 × 4.1%) + (0.40 × 6.3%) + (0.10 × 7.5%) + (0.05 × 9.1%)= 5.57%.

Allocation 2 exp. return = (0.10 × 4.1%) + (0.15 × 6.3%) + (0.15 × 7.5%) + (0.30 × 5.0%) + (0.30 × 9.1%)= 6.71%.

Allocation 3 exp. return = (0.13 × 4.1%) + (0.32 × 6.3%) + (0.40 × 7.5%) + (0.05 × 5.0%) + (0.10 × 9.1%)= 6.71%.

The real return for Allocation 1 is 3.07% (= 5.57% – 2.50%), and the real return for Allocation 2 and Allocation 3 is 4.21% (= 6.71% – 2.50%).

Therefore, Allocation 1 is not appropriate because the expected real rate of return is less than the annual spending rate of 4%. With expected spending at 4%, the purchasing power of the Fund would be expected to decline over time with Allocation 1.

Allocations 2 and 3 both offer an expected real rate of return greater than the annual spending rate of 4%. Thus, the purchasing power of the Fund would be expected to grow over time with either allocation. However, Allocation 3 is more appropriate than Allocation 2 because of its lower allocation to alternative assets (hedge funds and private equity). The total 60% allocation to alternative assets in Allocation 2 is well above the 15% allocation in Allocation 3 and is likely too high considering the Fund’s small investment staff and its limited experience with managing alternative investments. Also, given the Fund’s relatively small size of assets under management ($200 million), access to top hedge funds and private equity managers is likely to be limited.

an annual spending policy of paying out 4% of the Fund’s three-year rolling asset value


这个为什么指的就是real return呢?

1 个答案

发亮_品职助教 · 2020年01月19日

嗨,从没放弃的小努力你好:


maintaining long-term purchasing power while providing needed financial support to Wolf University

对于Endowment,我们的目标一定是永续存在,如何实现永续存在,可以总结为:

1、Asset base一定要先实现一个通胀率的增长,这样就保证了Asset base的实际购买了不变;

2、在上面的基础上,Asset base花出去的钱一定是通过赚取的收益实现的,每年只需花收益部分即可,不然就会花Asset base的本金,一旦花费本金,那永续存在的这个目标就无法实现。

所以,把上面两者相加,我们Endowment的投资收益率的目标是:

Return target = Inflation + Spending requirement

发现Return target是一个包含Inflation的名义收益率;而Spending requirement是一个扣除Inflation的Real return。

本题的Spending要求是:每年花费4%的Asset base,所以这个4%就是Real return。


注意,如果题目中有说,每年还需要支付一个Endowment基金管理费用,比如每年支付0.5%的Management fee,那这个Fee也是由投资收益出,也不能花费本金。这个Management fee也是Real return

所以有:Return target = Inflation + Spending requirement + Management fee


换个角度思考,我们的Asset base,要实现Maintaining purchasing power,也就是要实现一个Inflation的增长,所以每年Asset base每年是经过Inflation调整的。每年在这个经过Inflation调整的Asset base花费4%,所以4%是Real return。


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