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Kokonoi Hajime · 2025年07月01日

除可以吗

* 问题详情,请 查看题干

NO.PZ202301040900002201

问题如下:

(1) Discusswhether the current investment policy is appropriate given the Endowment’sannual spending policy.

解释:

Ÿ The policy is not appropriate.

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

Ÿ 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.

我用(1+portfolio return)/(1+inflation rate)

1 个答案

Lucky_品职助教 · 2025年07月02日

嗨,爱思考的PZer你好:


可以的,但不要忘记后面还需要再减1哈。

在计算实际回报率时,(1+portfolio return)/(1+inflation rate)这个式子需要在此基础上减 1 才能得到正确结果,因为该式子本身计算的是实际收益相对于本金的倍数,而实际回报率应为倍数减 1 后的百分比形式。中名义题目中回报率为 6.04%,通胀率为 2.5%,按此计算为(1+6.04%)/(1+2.5%)≈1.0345,再减 1 得到实际回报率约 3.45%。

这与用近似公式 “名义回报率 - 通胀率”(6.04%-2.5%=3.54%)的结果因复利效应存在细微差异,通常在通胀率较低时近似公式已足够准确。

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