问题如下:
Matt is evaluating Company M by using the multistage residual income model. He has forecasted that residual income per share will be constant from year 3 into perpetuity and the short-term ROE is higher than the long-term ROE. He has also estimated the earnings and dividends for the following three years in the following table. What`s the intrinsic value of Company M?
选项:
A.$27.18
B.$48.91
C.$55.43
解释:
C is correct.
考点:Multistage Residual Income Valuation
解析:先计算出每一年的BV
BV1 = BV0 + EPS - Dividends per share = 28.25 + 6.5 - 1.75 = $33,同理可得BV2 = $38.19,BV3 = $43.15
再计算出每一年的RI
RI1 = EPS1 – re*B0 = 6.50-10.9%*28.25 = $3.42,同理可得RI2 = $4.22,RI3 = $2.77
终值的现值:$$\(PV=\frac{RI_3}{r\times\left(1+r\right)^3}=\frac{2.77}{0.109\times1.109^3}=\$18.63\)
\(V_0=28.25+\frac{3.42}{1.109}+\frac{4.22}{1.109^2}+\frac{2.77}{1.109^3}+18.63=\$55.43\)$$老师能给一个李老师方法的一个详细的解题过程么,尤其是18.63最后的终值时如何计算出来的。我计算的事(14.5%-10.9%)x43.15/10.9%-5.5%=28.77之后折现(1+10.9%)3次幂=21.09