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Financial Management



                      Notes         The model may be written:

                                                               Div. Curr.
                                        Value of the share =
                                                          CR     (CR )(%RE)
                                                             norm    act
                                         Where Div. Curr = Current Dividend in rupees (annual basis)
                                                 CR     = Capitalization rate demanded by the market for the stock of the type.
                                                    norm
                                                  CR    = Actual  capitalization  rate  based  on  the  firms  current  earnings
                                                     act
                                                          (provided they are relatively normal) and current market price.
                                                   %RE = Percentage of Future earnings, the firm is likely to retain.
                                    The dividend growth model shows the value of a share as the shares current dividend divided
                                    by the amount that the demanded profit exceeded the rate of growth in the dividend, stated
                                    graphically. The model shows value as:

                                                                     Current dividend
                                        Value of the share =
                                                          Demanded after tax profit  dividend growth


                                           Example: If a firm has a 10% actual capitalization rate, a dividend payout of 40% and
                                    declares a   1 dividend in 2005. What is the growth rate? What is the likely stream of dividends
                                    through 2009? If the firm is in industry with a 12% normal capitalization rate, what is the
                                    intrinsic value using the dividend growth model?
                                    Solution: Multiplying the actual capitalization rate by the percentage of retained earnings gives
                                    the growth rate in dividend per share, assuming no change in dividend payout.
                                    The firm retains a 60% share of the 10% post-tax profits for a 6% growth rate. The stream of
                                    dividend payments at a 6% growth rate is as follows:
                                                Year          2005     2006       2007      2008      2009
                                         Dividend factor                1.06     (1.06) 2   (1.06) 3   (1.06) 4
                                         Dividend               1        1.06     1.12      1.19       1.26

                                                                            1          1
                                                  Value of the share =                    16.67
                                                                     12%  (10%)(60%)  0.06

                                    Factors Incorporated in the Dividend Growth Model
                                    1.   Restriction of the shareholders’ return to a single variable: In this model the income factor
                                         is limited to the current dividend earnings retained in the firm are part of the growth
                                         factor that will operate to increase the current dividend, but only the dividend and its
                                         expected increases are considered as a return.

                                    2.   Inclusion of two capitalization rates:
                                         (a)  Normal Capitalization Rate (CRnorm) i.e., reciprocal of PE ratio: If the firm is not able to
                                              achieve such a return at the existing market price, shareholders will sell their shares,
                                              thus depressing the market price and raising the rate of return.
                                         (b)  Actual Capitalization Rate: The firm’s actual capitalization rate is the relationship of its
                                              actual EPS to the market price of its stock. This is an important factor influencing
                                              growth. A firm with higher profits will have more funds to retain and hence more
                                              money to finance growth, as compared with firms with lower profits.




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