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moon · 2022年09月01日

一般题目给的spending rate都是real spending rate吗?

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.

the annual spending rate of 4%


  1. 一般题目给的spending rate都是real spending rate吗?

1 个答案

lynn_品职助教 · 2022年09月01日

嗨,努力学习的PZer你好:


对,因为Spending rate就是Real rate的概念。

现在的考纲删除了,实际在上一版的考纲中,我们会计算endowment的Required return(Nominal rate)。计算nominal rate就是以spending rate为起点的。

Nomial return = spending rate + inflation + expense

从公式可以看出,在spending rate的基础上,额外又加了inflation,所以spending rate自身就是real return。

这个内容了解即可,不属于现在的考纲,但是需要知道spending rate自己就是real return。

----------------------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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