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                  BRILLIANT’S                   Capital Structure Theories                          343


                  Solution:
                            Statement showing the value of Company and Overall Cost of Capital    (in `)

                                Particulars                    Existing       When debt   When debt is
                                                                              is increased   reduced

                  Debt @ 10%                                     4,00,000        5,00,000       3,00,000
                  EBIT                                           1,00,000        1,00,000       1,00,000
                  Less: Interest (I)                              40,000          50,000         30,000
                  Earnings to equity holders                      60,000          50,000         70,000
                  Equity Capitalization Rate (K )                 12.50%         12.50%          12.50%
                                             e
                                                             60,000 100     50,000 100    70,000 100
                                Market value of Equity(S)
                                                                12.5            12.5           12.5
                                                               = 4,80,000      = 4,00,000     = 5,60,000
                  Market Value of Debt (B)                       4,00,000        5,00,000       3,00,000
                                (V = S + B)                     8,80,000        9,00,000        8,60,000
                  Overall Cost of Capital

                                      EBIT  100         1,00,000 100   1,00,000 100  1,00,000 100
                                K =             
                                  o       V                8,80,000        9,00,000        8,60,000

                                                                = 11.36%        = 11.11%       = 11.63%

                   Illustration 4.2.4
                      Given EBIT of ` 2,00,000 the corporate tax rate of 50% and the following data, determine the
                  amount of debt that should be used by the firm in its capital structure to maximize the value of
                  the firm:
                      H$m°nm}aoQ> Q>¡³g 50% na < 2,00,000 H$s EBIT VWm {ZåZ{b{IV S>mQ>m {X¶m J¶m h¡, S>oãQ> H$s am{e H$m {ZYm©aU
                  H$s{OE {Ogo g§ñWm Ûmam ‘yë¶ H$mo A{YH$V‘ H$aZo Ho$ {bE BgH$s H¡${nQ>b ñQ´>³Ma ‘| g§ñWm Ûmam Cn¶moJ {H$¶m OmZm
                  Mm{hE&

                                Debt (`)               K  (before tax) %           K %
                                                        i                           e
                                   Nil                      10.0                   12.0
                                 1,00,000                   10.0                   12.0
                                 2,00,000                   10.6                   12.6
                                 3,00,000                   11.0                   13.0
                                 4,00,000                   12.0                   13.5
                                 5,00,000                   14.0                   15.6
                                 6,00,000                   17.0                   20.0
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