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                  BRILLIANT’S                         Cost of Capital                               311


                  share price will fall, if it earns more, this will  CgH$s eo¶g© àmBg {JaoJr, VWm ¶{X dh K go A{YH$ AZ©
                  rise.                                       H$aoJr V~ àmBg ~‹T>oJr&
                      Based on the fact that individuals are taxed  Bg ’¡$³Q> Ho$ AmYma na {H$ {S>{dS>oÝS> H$a ¶mo½¶ hmoVm
                  on dividends and that they must pay brokerage  h¡ VWm CÝh| AnZo ’$ÊS²>g H$mo [aBÝdoñQ> H$aZo Ho$ {bE
                  fees to reinvest their funds, the firms need not  ~«moH$aoO ’$ÊS> XoZm n‹S>Vm h¡, ’$‘© Ho$ {bE [aQ>oÝS> A{Zª½g
                  obtain higher return on retained earnings as
                                                              na A{YH$ [aQ>Z© àmßV H$aZm Amdí¶H$ Zht hmoVm h¡ ³¶m|{H$
                  they  must  obtain  on equity  capital. A  firm  do Bp³dQ>r H¡${nQ>b na [aQ>Z© àmßV H$a gH$Vo h¢& EH$ ’$‘©
                  obviously does and the owners could do for
                  themselves. Hence, in determining the cost of  {ZpíMV hr Eogm H$aVr h¡ Am¡a AmoZg© ^r ñd¶§ Ho$ {bE Eogm
                  retained earnings, the firm may discount the  H$a gH$Vo h¢& AV: [aQ>oÝS> A{ZªJ H$s H$m°ñQ> H$mo {ZYm©[aV
                  investor's tax and brokerage fees. The result is  H$aZo Ho$ {bE, ’$‘© BÝdoñQ>a Ho$ Q>¡³g VWm ~«moH$aoO ’$sg ‘|
                  the following equation which provides the cost  {S>ñH$mC§Q> H$a gH$Vr h¡& {ZåZ{b{IV ’$m°‘y©bo go [aQ>oÝS>
                  of retained earnings.                       A{Zª½g H$s H$m°ñQ> kmV H$s Om gH$Vr h¡:
                                                   K  = K  (1 – t) (1 – B)
                                                     r   e
                      Where,
                         K  = the cost of retained earnings  K  = the cost of equity capital
                           r
                                                               e
                         t = the owner's marginal-tax rate   B = the average brokerage fee.
                      But, the use of equation requires that the  {H$ÝVw Bg ’$m°‘y©bo Ho$ Cn¶moJ Ho$ {bE ¶h Amdí¶H$ h¡
                  financial manager must be able to estimate the  {H$ ’$m¶Z|{e¶b ‘¡ZoOa AmoZg© H$s ‘m{O©Zb Q>¡³g aoQ> VWm
                  owner's marginal tax rate and brokerage fees.  ~«moH$aoO ’$sg H$mo Am§H${bV H$aZo ‘| g‘W© hmo&
                   Illustration 4.1.2
                      Standard Products has a cost of equity capital of 20%. While the owner's marginal tax rates
                  vary  among industries  due to  different types  of   investors attracted,  approximate value  for
                  Standard Products of t and B are established at 40% and 3% respectively. Using the average value
                  for the  owner's marginal tax, rates and brokerage fees. Determine the cost of retained earnings for
                  Standard Products.
                      ñQ>¢S>S>© àmoS>³Q> H$s 20% Bp³dQ>r H¡${nQ>b H$s bmJV hmoVr h¡& O~{H$ AmH${f©V {H$¶o J¶o {ZdoeH$m| Ho$ {d{^ÝZ àH$mam|
                  Ho$ H$maU CÚmoJm| Ho$ ~rM Am°Za H$s ‘m{O©Zb Q>¡³g aoQ²>g ~XbVr h¡, t VWm B Ho$ ñQ>¢S>S>© àmoS>³Q²>g Ho$ {bE AZw‘m{ZV ‘yë¶
                  H«$‘e… 40% VWm 3% na ñWm{nV {H$¶o J¶o h¢& Am°Za H$m ‘m{O©Zb Q>¡³g, aoQ²>g VWm ~«moH$aoO ’$sg Ho$ {bE Am¡gV ‘yë¶
                  H$m Cn¶moJ H$a|& ñQ>¢S>S>© àmoS>³Q²>g Ho$ {bE [aQ>¢S> A{Zª½g H$s bmJV {ZYm©[aV H$s{OE&
                  Solution:

                      Employ equation:   K = K  (1 – t) (1 – B)  = 0.20 (1 – 0.4) (1 – 0.03)
                                          r    e
                                            = 0.20 (0.60) (0.97) = 0.1164
                      The cost of retained earnings is 11.64%.

                  Cost of Equity                              Bp³dQ>r H$s H$m°ñQ>
                      The cost of equity can be generally stated  Bp³dQ>r H$s H$m°ñQ> gm‘mݶV: Cg aoQ> H$mo H$hm Om
                  as  the rate  at which  investors  discount  the  gH$Vm h¡ {Og na BÝdoñQ>g© H$mo ’$‘© ‘| AmoZa{en BÝQ>aoñQ>
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