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Pascal edited section_textit_DDM_textit_RIM__.tex
almost 8 years ago
Commit id: 31106d8dbf3ca6d310d8bd1b3eda32846605b7f9
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the fact that future returns are driven by the current valuation and future growth.
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Although the
DDM \textit{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}}
The
RIM \textit{RIM} developed by Ohlson and Felthman (1995) assumes an accounting identity, the
clean surplus rule , which states that the change in book value is equal to the difference
between earnings and dividends $B_{t}-B_{t-1}=E_{t}-D_{t}$. Earnings that are not distributed
to investors are reinvested in the company. It then appears obvious that if a company’s
...
identities allows us to rewrite dividends as $D_{t}=B_{t-1}(1+R)-B_{t}+A_{t}$. Replacing $D_{t}$ with
this new expression into the \textit{DDM} formula (2) and operating some simplifications leads to
the following \textit{RIM} equation :
\begin{equation}
P_{t}=B_{t}+\displaystyle\sum_{i=1}^{K}\frac{A_{t+i}}{(1+R)^i}-B_{t+K}+P_{t+K}
\end{equation}