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mingm1n9 · 2023年06月13日

repurchasing yield

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%。

为什么不是减去-0.5%,得到4.5%

2 个答案

源_品职助教 · 2023年07月25日

嗨,从没放弃的小努力你好:


之所以不用4.6%,是因为我们这里是要预测而非回溯。

预测要用当前的数据,计算。如果有一个当前的 “nominal earning growth return”,那么也是可以用的。

没有这个数据,就用i+真实的g

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加油吧,让我们一起遇见更好的自己!

源_品职助教 · 2023年06月14日

嗨,努力学习的PZer你好:


在咱们讲义公式中,△S是指股份的增发或回购,正数代表股票增发,负数代表股票减少。

但是收益其实和股票的增发回购后的数目相反。股票增发,收益增加,股票回购,收益增加。

所以基础课讲的公式里说的Equity repurchase yield是(-ΔS)代表的收益。“+(-ΔS)”代表了加上这部分收益。

题目说Equity repurchase yield是-0.5,这里收益直接给了收益,就是(-ΔS)它等于-0.5,所以直接+(-0.5)即可。


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虽然现在很辛苦,但努力过的感觉真的很好,加油!

RunningwithBull · 2023年07月25日

请问earnings growth为什么使用expected equities real earning growth rate2.7%加上expected long-term inflation rate2.5%,来计算呢?或者说这两个数字加起来为什么不等于题目中给出的nominal earning growth return的4.6呢?

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