问题如下图：
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解释：
老师好，这道题我错在求Terminal Value用的是第三年的折现率求PV，而答案给的是用第二年的折现率求PV。仔细读题目后，发现题干里提到求Terminal Value是从第三年开始。我的问题是题目里先说的前3年ROE高于12%，从第四年开始永远保持12%，我理解算Terminal Value应该是从第四年开始计算更合理？感觉题目这种表述前后矛盾了。
谢谢！
maggie_品职助教 · 2018年01月24日
1、你的问题第一句话我没看懂，cost of equity保持不变，无论第几年折现，折现率都是8.7%
2、因为协会的公式：PVRIT-1=RIT/(1+R-W),RIT是第三年，那么PVRI求得就是第二年，因此折两年
3、这道题ROE的条件给的不严谨不用纠结，但是最后一句对于未来RI有准确的要求：The terminal value is based on an assumption that residual income per share will be constant from Year 3 into perpetuity.
elizaben · 2018年05月27日
请问这题如果用李老师的公式是不是应该PVRI3=RI3/Re
maggie_品职助教 · 2018年05月28日
是的，但你别忘了这样做还需要将RI3折现。加起来还是33.78.
NO.PZ201710200100000408 问题如下 8. Baseon Exhibits 2 an3 anthe multistage RI mol, Castovshoulestimate the intrinsic value of TTto closest to: A.€54.88. B.€83.01. C.€85.71. C is correct.Resiincome per share for the next three years is calculatefollows.Because Castovforecasts thresiincome per share will constant into perpetuity, equto Ye3 resiincome per share, the present value of the terminvalue is calculateusing a persistenfactor of 1.Present value of terminvalue = 8.54−(0.087×58.25)(1+0.087−1)(1+0.087)2\frac{8.54-(0.087\times58.25)}{(1+0.087-1)(1+0.087)^2}(1+0.087−1)(1+0.087)28.54−(0.087×58.25)= 3.47(0.087)(1.087)2\frac{3.47}{ ( 0.087 ) ( 1.087 ) ^2}(0.087)(1.087)23.47 =33.78 So, the intrinsic value of TTis then calculatefollows.V0=\frac{45.25+3.88/1.087+3.68/(1.087)^2+33.78}=85.71 如题，谢谢！
NO.PZ201710200100000408 问题如下 8. Baseon Exhibits 2 an3 anthe multistage RI mol, Castovshoulestimate the intrinsic value of TTto closest to: A.€54.88. B.€83.01. C.€85.71. C is correct.Resiincome per share for the next three years is calculatefollows.Because Castovforecasts thresiincome per share will constant into perpetuity, equto Ye3 resiincome per share, the present value of the terminvalue is calculateusing a persistenfactor of 1.Present value of terminvalue = 8.54−(0.087×58.25)(1+0.087−1)(1+0.087)2\frac{8.54-(0.087\times58.25)}{(1+0.087-1)(1+0.087)^2}(1+0.087−1)(1+0.087)28.54−(0.087×58.25)= 3.47(0.087)(1.087)2\frac{3.47}{ ( 0.087 ) ( 1.087 ) ^2}(0.087)(1.087)23.47 =33.78 So, the intrinsic value of TTis then calculatefollows.V0=\frac{45.25+3.88/1.087+3.68/(1.087)^2+33.78}=85.71 题目正文写的persistenfactor 是0.1， 解题里用的是1？
NO.PZ201710200100000408 问题如下 8. Baseon Exhibits 2 an3 anthe multistage RI mol, Castovshoulestimate the intrinsic value of TTto closest to: A.€54.88. B.€83.01. C.€85.71. C is correct.Resiincome per share for the next three years is calculatefollows.Because Castovforecasts thresiincome per share will constant into perpetuity, equto Ye3 resiincome per share, the present value of the terminvalue is calculateusing a persistenfactor of 1.Present value of terminvalue = 8.54−(0.087×58.25)(1+0.087−1)(1+0.087)2\frac{8.54-(0.087\times58.25)}{(1+0.087-1)(1+0.087)^2}(1+0.087−1)(1+0.087)28.54−(0.087×58.25)= 3.47(0.087)(1.087)2\frac{3.47}{ ( 0.087 ) ( 1.087 ) ^2}(0.087)(1.087)23.47 =33.78 So, the intrinsic value of TTis then calculatefollows.V0=\frac{45.25+3.88/1.087+3.68/(1.087)^2+33.78}=85.71 12%这个数据用不到吗？
NO.PZ201710200100000408 问题如下 8. Baseon Exhibits 2 an3 anthe multistage RI mol, Castovshoulestimate the intrinsic value of TTto closest to: A.€54.88. B.€83.01. C.€85.71. C is correct.Resiincome per share for the next three years is calculatefollows.Because Castovforecasts thresiincome per share will constant into perpetuity, equto Ye3 resiincome per share, the present value of the terminvalue is calculateusing a persistenfactor of 1.Present value of terminvalue = 8.54−(0.087×58.25)(1+0.087−1)(1+0.087)2\frac{8.54-(0.087\times58.25)}{(1+0.087-1)(1+0.087)^2}(1+0.087−1)(1+0.087)28.54−(0.087×58.25)= 3.47(0.087)(1.087)2\frac{3.47}{ ( 0.087 ) ( 1.087 ) ^2}(0.087)(1.087)23.47 =33.78 So, the intrinsic value of TTis then calculatefollows.V0=\frac{45.25+3.88/1.087+3.68/(1.087)^2+33.78}=85.71 1、方法二 RI4=RI3 = 3.47， PVRI' =3.47/0.087 =39.8851V0 = + RI1/(1+r) + RI2/(1+r)^2 + RI3/(1+r)^3+PVRI'/(1+r)^3 = 45.25 + 3.88/1.087 + 3.68/1.087^2 + 3.47/1.097^3 + 39.8851/1.097^3 =85.71第三年和以后的分母应该是1.087^3，而不是1.097^3。对吗？2 如何从题干中判断w=1？3 是否ROE恒定，RI就恒定？4 计算RI3，可否用(ROE-RE)*BV2，ROE=12%
NO.PZ201710200100000408 问题如下 8. Baseon Exhibits 2 an3 anthe multistage RI mol, Castovshoulestimate the intrinsic value of TTto closest to: A.€54.88. B.€83.01. C.€85.71. C is correct.Resiincome per share for the next three years is calculatefollows.Because Castovforecasts thresiincome per share will constant into perpetuity, equto Ye3 resiincome per share, the present value of the terminvalue is calculateusing a persistenfactor of 1.Present value of terminvalue = 8.54−(0.087×58.25)(1+0.087−1)(1+0.087)2\frac{8.54-(0.087\times58.25)}{(1+0.087-1)(1+0.087)^2}(1+0.087−1)(1+0.087)28.54−(0.087×58.25)= 3.47(0.087)(1.087)2\frac{3.47}{ ( 0.087 ) ( 1.087 ) ^2}(0.087)(1.087)23.47 =33.78 So, the intrinsic value of TTis then calculatefollows.V0=\frac{45.25+3.88/1.087+3.68/(1.087)^2+33.78}=85.71 我是像李老师在第三年划一刀，Yr 1 , 2, 3 的 bookvalue 分别是51.61， 58.25， 65.2；用single stage 计算出Yr 3以后未来 的RI [ROE （12%） - cost of equity （8.7%) ] *BV@Yr 3 (65.2) ➗re- g (此处因为已知constant growth, g=0) , 计算得 24.73 ； 再与第三年得RI 3.47相加 最后和前两年得一起折现，看了答案我知道应该i用永续公式，但不知道我在single stage 那里出了什么错？