问题如下:
Matt has concluded that the DDM model is appropriate to value Company M. Given the current dividend and the required rate of return of $0.5 per share and 10%, respectively. He has predicted that the dividend will grow at 20% a year for the first three years and then grow at 5% per year into the indefinite future. What`s the current value of Company M stock?
选项:
A.$14.77
B.$15.42
C.$15.92
解释:
B is correct.
考点:Two Stage Model
解析:D0 = $0.5 D1 = $0.6 D2 = $0.72 D3 = $0.864
$$\(P_3=\frac{D_3\times\left(1+g_L\right)}{r-g_L}=\frac{0.864\times\left(1+5\%\right)}{10\%-5\%}=\$18.144\)
\(V_0=\frac{D_1}{1+r}+\frac{D_2}{\left(1+r\right)^2}+\frac{D_3+P_3}{\left(1+r\right)^3}\)\(=\frac{0.6}{1.1}+\frac{0.72}{1.1^2}+\frac{0.864+18.144}{1.1^3}=\$15.42\)$$答案能用人类语言列一下计算式么