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Pascal edited section_textit_DDM_textit_RIM__.tex
almost 8 years ago
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where $P_{t}$ is the stocks price at $t$, $D_{t+i}$ the future dividend at $t+i$, $R$ the discount rate and
$P_{t+K}$ the terminal value. Again, $R$ is necessarely the average total return of the shareholder over one period if he pays $P_{t}$, receive $D_{t+1}$,$D_{t+2}$, . . . $D_{t+K}$ and sells the stock at $P_{t+K}$. It is worth mentioning that the dividends are always reinvested and that the total shareholder return is going to be $(1+R)^K-1$ over $K$ periods.
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The Gordon Growth Model is a simple version of the DDM where it is assumed that
dividends will grow at a constant rate, duration of equity is infinite so that terminal value
is negligeable:
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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.
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Although the DDM is theoretically correct, it carries some well known caveats. One in
particular is its expression of equity valuation purely from a dividend distribution standpoint.
Value creation is not apparent in this formula. By injecting the book value of equity in the
DDM one can explain how dividends are generated through time and why investment and
economic returns are at the basis of dividend growth and value creation. The Residual
Income Model (RIM hereafter) makes this possible.
\subsection{Linking the \textit{RIM} with the \textit{DDM}
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