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Pascal PIERRE edited section_textit_DDM_textit_RIM__.tex
about 6 years ago
Commit id: c27e3579b401551097fa4d8a1407b8e5fb064b59
deletions | additions
diff --git a/section_textit_DDM_textit_RIM__.tex b/section_textit_DDM_textit_RIM__.tex
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--- a/section_textit_DDM_textit_RIM__.tex
+++ b/section_textit_DDM_textit_RIM__.tex
...
dividends will grow at a constant rate, duration of equity is infinite so that terminal value
is negligeable:
\begin{equation}
P_{t}=\displaystyle\sum_{i=1}^{\infty}\frac{D_{t+i}}{(1+R)^i}\approx\frac{D_{1}}{R-g} P_{t}=\displaystyle\sum_{i=1}^{\infty}\frac{D_{t+i}}{(1+R)^i}\approx\frac{D_{t+1}}{R-g}
\end{equation}
where $g$ is the expected constant dividend growth rate to perpetuity.This equation highlights
the fact that future returns are driven by the current valuation and future growth.
...
returns as long as the \textit{ROE} also increases. Moreover given two companies with the same
\textit{ROE} but different \textit{PB}s, the higher \textit{PB} will either have a lower discount rate $R$ and/or have
a higher persistence rate $\omega$ (ability to generate more abnormal earnings). There is a clear
similarity between the \textit{PB-ROE} model and the Gordon Growth Model
(\textit{GGM}). (\textit{GGM}) (Equ. 3). Recall that the \textit{GGM} is :
\begin{equation}
P_{t}=\frac{D_{t+1}}{(R-g)} P_{t}=\frac{D_{t+1}}{R-g}
\end{equation}
Or,
\begin{equation}
P_{t}=\frac{\rho
E_{t+1}}{(R-g} E_{t+1}}{R-g}
\end{equation}
Where $\rho$ is the payout ratio.
The \textit{GGM}