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AgnesWu · 2024年01月19日

关于V4的计算

NO.PZ2015122802000166

问题如下:

An analyst gathers or estimates the following information about a stock:

Based on a dividend discount model, the stock is most likely:

选项:

A.

undervalued.

B.

fairly valued.

C.

overvalued.

解释:

A is correct.

The current price of 22.56 is less than the intrinsic value (V0) of 24.64; therefore, the stock appears to be currently undervalued. According to the two-stage dividend discount model:

V0=t=1nD0(1+gs)t(1+r)t+Vn(1+r)nV_0=\sum_{t=1}^n\frac{{\displaystyle D_0(1+g_s)}^t}{{\displaystyle(1+r)}^t}+\frac{V_n}{{(1+r)}^n} and Vn=Dn+1rgLV_n=\frac{D_{n+1}}{r-g_L}

Dn+1 = D0(1+gS)n(1+gL)

D1 = €1.60 × 1.09 = €1.744

D2 = €1.60 × (1.09)2 = €1.901

D3 = €1.60 × (1.09)3 = €2.072

D4 = €1.60 × (1.09)4 = €2.259

D5 = [€1.60 × (1.09)4](1.04) = €2.349

V4 = €2.349/(0.12 – 0.04) = €29.363

V0=1.744(1.12)1+1.901(1.12)2+2.072(1.12)3+2.259(1.12)4+29.363(1.12)4V_0=\frac{1.744}{{(1.12)}^1}+\frac{1.901}{{(1.12)}^2}+\frac{2.072}{{(1.12)}^3}+\frac{2.259}{{(1.12)}^4}+\frac{29.363}{{(1.12)}^4}

= 1.557+1.515+1.475+1.436+18.661

= €24.64(which is greater than the current price of €22.56)

考点:Multi-stage Model

计算器具体步奏如下:

CFO=0, C01=1.744,F01=1,C02=1.901,F02=1,C03=2.072,F03=1,C04=2.259+29.363,F04=1,NPV , I=12,CPT NPV


请问V4的分母是应该是D5的数值还是D5(1+4%)?

2 个答案

王园圆_品职助教 · 2024年01月19日

好的,同学加油!

王园圆_品职助教 · 2024年01月19日

同学你好,你想问的是分子吧?

V4计算的时候是用D5作为分子的哦——GGM下:V=D/(r-g),依次类推,V=D/(r-g)


AgnesWu · 2024年01月19日

对,是想问分子,我笔误了。原来只用D5,我一直以为是用D5(1+4%)。谢谢

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NO.PZ2015122802000166 问题如下 analyst gathers or estimates the following information about a stock:Baseon a vinscount mol, the stois most likely: A.unrvalue B.fairly value C.overvalue is correct.The current priof €22.56 is less ththe intrinsic value (V0) of €24.64; therefore, the stoappears to currently unrvalue Accorng to the two-stage vinscount mol:V0=∑t=1n(1+gs)t(1+r)t+Vn(1+r)nV_0=\sum_{t=1}^n\frac{{\splaystyle 0(1+g_s)}^t}{{\splaystyle(1+r)}^t}+\frac{V_n}{{(1+r)}^n}V0​=∑t=1n​(1+r)t​(1+gs​)t​+(1+r)nVn​​ anVn=+1r−gLV_n=\frac{{n+1}}{r-g_L}Vn​=r−gL​+1​​+1 = (1+gS)n(1+gL) = €1.60 × 1.09 = €1.744 = €1.60 × (1.09)2 = €1.901 = €1.60 × (1.09)3 = €2.072 = €1.60 × (1.09)4 = €2.259 = [€1.60 × (1.09)4](1.04) = €2.349V4 = €2.349/(0.12 – 0.04) = €29.363V0=1.744(1.12)1+1.901(1.12)2+2.072(1.12)3+2.259(1.12)4+29.363(1.12)4V_0=\frac{1.744}{{(1.12)}^1}+\frac{1.901}{{(1.12)}^2}+\frac{2.072}{{(1.12)}^3}+\frac{2.259}{{(1.12)}^4}+\frac{29.363}{{(1.12)}^4}V0​=(1.12)11.744​+(1.12)21.901​+(1.12)32.072​+(1.12)42.259​+(1.12)429.363​ = 1.557+1.515+1.475+1.436+18.661 = €24.64(whiis greater ththe current priof €22.56)考点Multi-stage Mol计算器具体步奏如下CFO=0, C01=1.744,F01=1,C02=1.901,F02=1,C03=2.072,F03=1,C04=2.259+29.363,F04=1,NPV , I=12,CPT NPV 此题V4是用什么公式算的?为什么不用讲义P495页求P的公式?求V4,我下方的算法有问题吗?这一类题的解题思路,李老师根本没讲清楚。

2024-08-10 18:02 1 · 回答

NO.PZ2015122802000166问题如下analyst gathers or estimates the following information about a stock:Baseon a vinscount mol, the stois most likely:A.unrvalueB.fairly valueC.overvalue is correct.The current priof €22.56 is less ththe intrinsic value (V0) of €24.64; therefore, the stoappears to currently unrvalue Accorng to the two-stage vinscount mol:V0=∑t=1n(1+gs)t(1+r)t+Vn(1+r)nV_0=\sum_{t=1}^n\frac{{\splaystyle 0(1+g_s)}^t}{{\splaystyle(1+r)}^t}+\frac{V_n}{{(1+r)}^n}V0​=∑t=1n​(1+r)t​(1+gs​)t​+(1+r)nVn​​ anVn=+1r−gLV_n=\frac{{n+1}}{r-g_L}Vn​=r−gL​+1​​+1 = (1+gS)n(1+gL) = €1.60 × 1.09 = €1.744 = €1.60 × (1.09)2 = €1.901 = €1.60 × (1.09)3 = €2.072 = €1.60 × (1.09)4 = €2.259 = [€1.60 × (1.09)4](1.04) = €2.349V4 = €2.349/(0.12 – 0.04) = €29.363V0=1.744(1.12)1+1.901(1.12)2+2.072(1.12)3+2.259(1.12)4+29.363(1.12)4V_0=\frac{1.744}{{(1.12)}^1}+\frac{1.901}{{(1.12)}^2}+\frac{2.072}{{(1.12)}^3}+\frac{2.259}{{(1.12)}^4}+\frac{29.363}{{(1.12)}^4}V0​=(1.12)11.744​+(1.12)21.901​+(1.12)32.072​+(1.12)42.259​+(1.12)429.363​ = 1.557+1.515+1.475+1.436+18.661 = €24.64(whiis greater ththe current priof €22.56)考点Multi-stage Mol计算器具体步奏如下CFO=0, C01=1.744,F01=1,C02=1.901,F02=1,C03=2.072,F03=1,C04=2.259+29.363,F04=1,NPV , I=12,CPT NPV 老师请问怎么判断题目给的1.6是还是啊?

2023-03-28 23:40 1 · 回答

NO.PZ2015122802000166 老师,最后第五年的计算不太明白,课堂上的也没听明白,能不能麻烦讲一下,谢谢!

2021-12-23 15:07 3 · 回答

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