NO.PZ2015122801000051
问题如下:
Cow Company is expected to grow at 10% and 20% in the first two years, and the growth rate will decrease to 6% thereafter. Assume the rate of return is 10% and Cow's last dividend was $1, what's the value of Cow's common stock?
选项:
A.$29.
B.$30.
C.$31.
解释:
C iscorrect.
D01=1*(1.1)=1.1
D02=1*(1.1)*(1.2)=1.32
P02=1*(1.1)*(1.2)(1.06)/(0.1-0.06)=34.98
V=1.1/(1.1)+(1.32+34.98)/(1.1)^2=31
V=31
C是正确的
本题考察的是多阶段DDM的公式应用。
因为第一年按10%增长,所以D1 = 1 * (1+0.1) = 1.1
第二年按20%增长,所以D2 = 1.1 * (1+0.2) = 1.32
第三年开始按6%永续增长,所以第三年D3 = 1.32* (1+0.06)= 1.3992
并且第三年进入永续增长,可以应用GGM把第三年开始的永续年金折现至第二年年末 P2 = D3(1.3992)/(0.1 – 0.06) = 34.98
最后,把未来所有现金流折现至0时刻V = D1 / (1+r) + (D2 + P2) / ((1+r)^2 ) = 31
Cow's last dividend was $1中的last指的是D0,不是D3?