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Unit 5: Cost of Capital




          Generally, cost of debenture is equal to the interest rate, when debenture is issued at par and  Notes
          without considering tax. Cost will be less than the interest when we calculate cost after considering
          tax since it is tax deductible. From the cost of capital point of view, debenture cost is always in
          post tax cost.
          Sometimes debentures may be issued at premium or discount. A company, which is having a
          good track record, will be issued at premium and a company that is new or unknown to the
          public or has a nominal or poor track record will be issued at discount. Whenever debentures
          are issued at premium or discount  the cost of debenture will be  affected, it will decrease or
          increase  respectively.

          Illustration 21: Rama & Co. has 15 per cent irredeemable debentures of   100 each for   10,00,000.
          The tax rate is 35 per cent. Determine debenture assuming it is issued at (i) face value/par value
          (ii) 10 per cent premium and (iii) 10 per cent discount.
          Solution:
                   Issued at              Pre-tax                  Post-tax
                                   15                       15(1–0.35)
           (i)  Face value           = 15 percent                  = 9.8 percent
                                  100                         100

                                   15                       15(1–0.35)
           (ii) 10% premium         = 13.7 percent (100+10)        = 8.9 percent
                                 110
                                                              110
                                   15                       15(1–0.35)

           (iii) 10% discount       = 16.67 percent (100–10)       = 10.9 percent
                                  90
                                                              90
          Cost of Redeemable Debentures/Debt

          Redeemable debentures that, are having a maturity period or are repayable after a certain given
          period of time. In other words, these type of debentures that are under legal obligation to repay
          the principal amount to its holders either at certain agreed intervals during the duration of loan
          or as a lump sum amount at the end of its maturity period. These type of debentures are issued
          by many companies, when they require capital for fulfilling their temporary needs.
          Cost of Redeemable Debentures:

                                          n  NI        P
                                     K =       t  +   n
                                       d          t       n
                                          t=1  1+K d   1+K d
          Where,
                  K  = Cost of debentures.
                   d
                   n = Maturity period.
                  NI = Net interest (after tax adjustment).
                  P = Principal repayment in the year ‘n’.
                   n
          Illustration 22: BE Company issues   100 par value of debentures carrying 15 per cent interest.
          The debentures are repayable after 7 years at face value. The cost of issue is 3 per cent and tax rate
          is 45 per cent. Calculate the cost of debenture.
          Solution:

                          7 15
                       
                  100 – 3 =    1 – 0.45   +  100  n
                                   t
                          t=1  1+ K d   1+ K d 

                                           LOVELY PROFESSIONAL UNIVERSITY                                   107
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