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yj2640 · 2024年06月29日

关于inflation计算

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.

请问在这个知识点中,inflation rate都默认用减法,而不是用除法来算real rate吗?

1 个答案
已采纳答案

Lucky_品职助教 · 2024年06月30日

嗨,从没放弃的小努力你好:


同学你好:


这种方法并不是默认的。

关于real rate, nornimal rate, 和 inflation rate之间的计算方式,最精确的肯定是复利相乘的方式:(1+real rate)×(1+ inflation rate)=(1+nornimal rate),而 real rate + inflation = nornimal rate 是一种更简便的算法。

我们考试的时候,使用哪种计算方式,还是要根据具体情况来判定。如果是在答主观题,那我建议你使用(1+real rate)×(1+ inflation rate)=(1+nornimal rate)来计算,无论如何结果都不会错。但是如果是出现在客观选择题里,那我建议你先用 real rate + inflation = nornimal rate 简单的方式算一下,如果选项中没有(没算错的情况下),那么再进一步用(1+real rate)×(1+ inflation rate)=(1+nornimal rate)来计算,就会找到正确的选项。

----------------------------------------------
努力的时光都是限量版,加油!

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