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Darkblanca · 2024年01月08日

为什么equity compounded annual growth rate

NO.PZ2022122601000062

问题如下:

Robert Spencer is a market forecaster with Windsor Investment Management, a U.K.-based wealth management firm. Spencer is asked to review the current economic conditions and market outlook for the U.K. and to set long-term market return expectations for domestic equities. These expectations will form the basis of Windsor’s future client asset allocations. Spencer gathers the U.K. capital market data displayed in Exhibit 1.

A. Determine, using the information in Exhibit 1 and the Grinold-Kroner model, the component sources of the historical nominal return for U.K. equities:

i. income return

ii. earnings growth

iii. repricing return

解释:

Correct Answer:

The Grinold-Kroner model can be expressed as: E(Re) = (D/P - ΔS) + (i + g) + ΔPE

Or E(Re) = Income return + Earnings growth + Repricing return

i. Income return is the sum of the dividend yield (i.e., D/P, which is 4.0%) and the equity repurchase yield (i.e., the negative of the expected change in shares outstanding, - ΔS) which is -0.5%. Therefore: Income return = D/P - ΔS = 4.0 - 0.5 = 3.5%

ii. Earnings growth is the sum of real growth in earnings and the inflation rate. This sum is shown in Exhibit 1: Earnings growth = 4.6% (given in Exhibit 1)

iii. Repricing return: Since the equity compounded annual growth rate is given in Exhibit 1to be E(Re) = 11.2%, the Grinold-Kroner model can be rearranged to solve for repricingreturn:11.2% = 3.5% + 4.6% + Repricing return .

Rearranging the terms: Repricing return = 11.2% – 3.5% – 4.6% = 3.1%

中文解析:

Grinold-Kroner模型可以表示为:E(Re) = (D/P - ΔS) + (i + g) + ΔPE

或者E(Re) =收入回报+盈利增长+重新定价回报

1.收益回报是股息收益率(即D/P,为4.0%)和股票回购收益率(即预期流通股变动的负值,- ΔS)的总和,为-0.5%。因此:收益回报率= D/P - ΔS = 4.0 - 0.5 = 3.5%

2收益增长是实际收益增长和通货膨胀率的总和。这个数字如表1所示:收益增长= 4.6%(见表1)

3重新定价收益:由于在表1中给出的股票复合年增长率为E(Re) = 11.2%,因此可以重新排列Grinold-Kroner模型来求解重新定价收益:11.2% = 3.5% + 4.6% +重新定价收益。

重新安排条款:重新定价收益= 11.2% - 3.5% - 4.6% = 3.1%

5. 亚太地区房地产投资的预期收益=无风险利率加上风险溢价的加权平均值= 2.0% + 3.24% = 5.24%。

为什么equity compounded annual growth rate 就是 Re?不应该啊

1 个答案

笛子_品职助教 · 2024年01月09日

嗨,努力学习的PZer你好:


GK model的E(Re)用于计算equity的年回报率。

compounded annual growth rate也是equity的年回报率。

因此:这两者是相同的。


同学认为这两个不同,可以阐述下同学的理由。老师看一看,这个理由中是哪里出了问题。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

rickyjoy · 2024年07月28日

earnings growth为什么不是2个expected数据相加,即expected equities real earnings growth rate和expected long-term inflation rate。我的理解是earnings growth是未来的增长

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