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若然 · 2024年06月17日

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NO.PZ201710200100000104

问题如下:

4. Assume that a new government takes office in Canada. If Peters and her team use the Gordon growth model and assume that Company ABC stock is fairly valued, then which of the following would most likely be true?

选项:

A.

The total return of ABC stock will be 10.85%.

B.

The dividend yield of ABC stock will be 3.85%.

C.

The stock price of ABC will grow at 7.35% annually.

解释:

B is correct.

In the Gordon growth model, Total return = Dividend yield + Capital gains yield (i.e., constant growth rate). When a stock is fairly valued, the expected total return will equal the required return or discount rate (i.e., 7.35%). In the case of ABC, the total return is 7.35% and the capital gains yield is 3.5%. Therefore, the dividend yield is 7.35% – 3.5% = 3.85%

请问,dividend yield不是3.5%么?capital gain yield是8.72%-3.5%?

1 个答案

王园圆_品职助教 · 2024年06月17日

同学你好,3.5%是dividend growth rate,不是dividend yield

dividend yield = D1/P0 是指期初投资一个P0,到t=1时刻可以收获的分红收益率的意思

在GGM下,V0 = D1/(r-g),V1 = D1*(1+g)/(r-g) ——这个g在GGM模型里就是指的分红的增长率g

而capital gain yield ,就是1时刻相对0时刻股票价格的变动程度。因为该股票是fair valued,那Price = value

P1 = V1, P0 = V0. capital gain yield =( P1-P 0)/P0 = P1/P0 - 1,带入上面V0和V1的式子

capital gain yield = D1*(1+g)/(r-g) * (r-g)/D1 - 1 = 1+g - 1 = g

所以capital gain yield 就等于dividend growth rate g


而dividend yield = total return - capital gain yield

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NO.PZ201710200100000104 问题如下 4. Assume tha new government takes offiin Cana. If Peters anher teuse the Gorn growth mol anassume thCompany Astois fairly value then whiof the following woulmost likely true? A.The totreturn of Astowill 10.85%. B.The vinyielof Astowill 3.85%. C.The stopriof Awill grow 7.35% annually. B is correct.In the Gorn growth mol, Totreturn = vinyiel+ Capitgains yiel(i.e., constant growth rate). When a stois fairly value the expectetotreturn will equthe requirereturn or scount rate (i.e., 7.35%). In the case of ABthe totreturn is 7.35% anthe capitgains yielis 3.5%. Therefore, the vinyielis 7.35% – 3.5% = 3.85% When a stois fairly value the expectetotreturn will equthe requirereturn or scount rate 这是结论吗 怎么推出来的

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