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Financial Management



                      Notes         2.   Calculation of the current dividend yield

                                         3rd year dividend   11.575

                                                                                11.575
                                                         Current dividend yield =     ×105 =  12.154
                                                                                 100
                                             Growth in dividend is [12.154 – 11.575] = 0.579
                                                                   0.579
                                              Current dividend yield   ×100 = 5 per cent
                                                                  11.575
                                         In simple words, current dividend yield is equal to growth rate in dividends.
                                    3.   Mr. A’s required rate of return

                                                                    D
                                                    K =                         +g
                                                      e   Expected sales price (MP)

                                                            12.154
                                                        =         + 0.05
                                                           243.10
                                                        = 0.050 + 0.05 = 0.10 × 100 = 10 per cent
                                    Illustration 11: (Variable growth rates)
                                    A textile company’s dividends have been expected to grow in the following manner.

                                                   1 – 2 years          15 per cent
                                                   3 – 5 years          10 per cent
                                                   6 year and beyond     5 per cent
                                    The company currently pays a dividend of   2 per share, which is currently selling at   75 per
                                    share. What would be the cost of equity capital assuming a fixed dividend pay out ratio?
                                    Solution:

                                                    n  D  1+gr  t  D   1
                                             NP =     0    t  +  n+1  n  ×  n
                                                                 e
                                                   t=1  1+K e   K - g  1+K  e 
                                                     2.3     2.645   2.9095  3.200    3.52   3.52(1+0.05)  1
                                             75 =        1  +    2  +     3  +    4  +    5  +      5  ×      5
                                                   1+K  e    1+K e   1+K e   1+K  e    1+K  e   1+K  e   1+K e 
                                                                   
                                                                                 
                                                                                            
                                                =  2.3  PVIF 1.K e   +2.645 PVIF 2.K  e   +2.9095 PVIF 3.K e   +3.2 PVIF 4.K  e   +
                                                                                                    3.696  PVIF 6.K  
                                                                                        3.52  PVIF 5.K   +   e
                                                                                                 e
                                                                                                       K - 0.05
                                                                                                         e
                                    By trial and error method using PV tables, we find Ke = 14%
                                    First trial at 14%
                                                                                                    3.696
                                             75 = 2.3(0.877)+2.645(0.769)+2.909(0.675)+3.2(0.592)+3.52(0.519)+  ×(0.456)
                                                                                                  0.14-0.05
                                             75 = 2.02 + 2.03 + 1.96 + 1.89 + 1.83 + 18.73
                                             75 = 28.5



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