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Lily · 2022年09月20日

LT的GK model为什么会考虑S的变化已经P/E的变化呢?

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NO.PZ202206070100000104

问题如下:

Given O’Reilly’s forecasts for the European market, the expected long-term equity return using the Grinold–Kroner model is closest to:

选项:

A.7.35%. B.6.35%. C.8.35%.

解释:

Solution

C is correct. The Grinold–Kroner model estimates the expected return on equity as follows:

E R e D P + %ΔE-%ΔS +%ΔP/E =1.95+ 5.25-- 1 +0.15 =8.35%

where

E(Re) = expected rate of return on equity

D/P = expected dividend yield

E = expected percent change in total earnings

S = expected percent change in number of shares outstanding

P/E = expected percent change in the price-to-earnings ratio

(%ΔE – %ΔS) = the growth rate of earnings per share

E = nominal earnings growth = real earnings growth + long-term inflation + corporate premium

=2.50% + 1.75% + 1.00%

=5.25%

Alternatively, the expected return from the Grinold–Kroner model can be expressed as the sum of:

Expected cash flow (Income) return: D/P – %ΔS = 1.95 – (1.00) = 2.95

Expected nominal earnings growth return = %ΔE = 5.25 (as shown above)

Expected Pricing return: %ΔP/E = 0.15

Expected Return = 8.35%

A is incorrect. It incorrectly omitted the decline in shares outstanding from the calculation.

B is incorrect. It incorrectly added the decline in shares outstanding instead of subtracting it.


C是正确的。Grinold-Kroner模型估计的预期股本回报率如下:

E R e D P + %ΔE-%ΔS +%ΔP/E =1.95+ 5.25-- 1 +0.15 =8.35%


E(Re) =预期净资产收益率
D/P =预期股息收益率
%ΔE =总收益预期变化百分比
%ΔS =流通股数量的预期变动百分比
%ΔP/E =预期市盈率变动百分比
(%ΔE - %ΔS) =每股收益增长率
%ΔE =名义收益增长=实际收益增长+长期通胀+公司溢价
=2.50% + 1.75% + 1.00%
= 5.25%

或者,Grinold-Kroner模型的预期收益可以表示为:
预期现金流(收入)回报:D/P - %ΔS = 1.95 - (1.00) = 2.95
预期名义收益增长回报率= %ΔE = 5.25(如上所示)
预期定价回报率:%ΔP/E = 0.15
预期回报率= 8.35%
A是不正确的。它错误地从计算中忽略了流通股的下跌。
B是不正确的。它错误地增加了流通股跌幅,而不是减去它。

如题

1 个答案

源_品职助教 · 2022年09月21日

嗨,爱思考的PZer你好:


这里用GK模型其实是由GGM模型衍生出来的

GK模型收益包括两部分,一部分是INCOME RETREN,其中包含了△S,回购收益。

另一部分是CAPITAL APPRECIATION

其中CAPITAL APPRECIATION 又可以换作三部分,里面就包括了△(P/E)

具体推导过程的视频位置如下图所示,同学可以参考着看一下。

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加油吧,让我们一起遇见更好的自己!

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NO.PZ202206070100000104 问题如下 Given O’Reilly’s forecasts for the Europemarket, the expectelong-term equity return using the GrinolKroner mol is closest to: A.7.35%. B.6.35%. C.8.35%. SolutionC is correct. The GrinolKroner mol estimates the expectereturn on equity follows: E R e ≈ P + %ΔE-%ΔS +%ΔP/E =1.95+ 5.25-- 1 +0.15 =8.35% whereE(Re) = expecterate of return on equityP = expectevinyielΔE = expectepercent change in totearnings%ΔS = expectepercent change in number of shares outstanng%ΔP/E = expectepercent change in the price-to-earnings ratio(%ΔE – %ΔS) = the growth rate of earnings per share%ΔE = nominearnings growth = reearnings growth + long-term inflation + corporate premium=2.50% + 1.75% + 1.00%=5.25%Alternatively, the expectereturn from the GrinolKroner mol cexpressethe sum of:Expectecash flow (Income) return: P – %ΔS = 1.95 – (1.00) = 2.95Expectenominearnings growth return = %ΔE = 5.25 (shown above)ExpectePricing return: %ΔP/E = 0.15ExpecteReturn = 8.35%A is incorrect. It incorrectly omittethe cline in shares outstanng from the calculation.B is incorrect. It incorrectly aethe cline in shares outstanng insteof subtracting it.C是正确的。GrinolKroner模型估计的预期股本回报率如下: E R e ≈ P + %ΔE-%ΔS +%ΔP/E =1.95+ 5.25-- 1 +0.15 =8.35% E(Re) =预期净资产收益率P =预期股息收益率%ΔE =总收益预期变化百分比%ΔS =流通股数量的预期变动百分比%ΔP/E =预期市盈率变动百分比(%ΔE - %ΔS) =每股收益增长率%ΔE =名义收益增长=实际收益增长+长期通胀+公司溢价=2.50% + 1.75% + 1.00%= 5.25%或者,GrinolKroner模型的预期收益可以表示为:预期现金流(收入)回报:P - %ΔS = 1.95 - (1.00) = 2.95预期名义收益增长回报率= %ΔE = 5.25(如上所示)预期定价回报率:%ΔP/E = 0.15预期回报率= 8.35%A是不正确的。它错误地从计算中忽略了流通股的下跌。B是不正确的。它错误地增加了流通股跌幅,而不是减去它。 答案是不是写错了?

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