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Unit 9: Dividend Decisions




                                   E = Earnings per share                                       Notes
                                   D = Dividend per share
          Analyzing the Walter Formula:
                                         EPS (Earnings per share)
          We know that the value of share =
                                           Capitalization rate
                                         Divident + Retained Earnings
                                     =
                                                    R
                                                     a
          The Walter formula gives an added weight to the retained  earning portion of the earnings
          formula. The factor is placed in front of retained earnings to change its weighted value under
          three different situations as follows:
          1.   If R /R  is greater than I i.e., the firms earnings are more than the norm. In this situation
                  a  c
               we want the firm to retain its earnings since other alternative investment offer a lower
               return than the firm is about to secure.

                 Example: A firm has EPS   5 and pay dividend of   2.  Its actual capitalization rate is 15%
          and normal capitalization rate is 10%. What is the value of the firm using capitalization earnings
          and Walter formula?
                 Capitalization earnings = Value =  5/10% =  50
                                                 15          6.5
                  Walter formula value = 2 + 2+  2  +  (5 – 2 )  =  =  65
                                                 10          10%
          2.   R /R  is equal to I, when the actual and normal capitalization rates are identical. In this
                a  c
               case, the retained earnings have the same weighted value as dividends and the Walter
               Formula gives the same value as the Capitalization Earnings formula.
          3.   R /R  is less than I i.e., retained earnings have a lower weight than dividends. Thus less the
                a  c
               firm retain, the higher its value. In the above example, if the capitalization (actual) is 5%.
              Value of the firm Capitalization of earnings 5/10% =   50
                                                                    (5 – 2)  3.5
                            Value of the Firm Walter formula =  2  + 5/10  =     = 35
                                                                     10%    10%
          Assumption of the Walter Model

          1.   Retained earnings are the only source of finance available to the firm, with no outside
               debt or additional equity used.
          2.   R  and R  are assumed to be constant and thus additional investments made by the firm
                a     c
               will not change its risk and return.
          Profiles


          1.   Firm has an indefinite life.
          2.   For a given value of the firm, the dividend per share and the earnings per share remain
               constant.

          Limitations of the Walter Model

          1.   Exclusive financing by retained earnings make  the model  suitable only  for all  equity
               firms.



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