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Unit 4: Responsibility Centers




               Approach 2: Terminal value is a stable perpetuity                                Notes

               Terminal value =

               Approach 3:  Terminal value as a Multiple of  Book value.  The terminal  value can be
               estimated  by multiplying  the  forecasted  book value  of  capital  by  an  approximate
               market - to book ratio. Normally, the current market/book value ratio is taken as proxy
               for future.
               Approach 4: Terminal value as a Multiple of earnings –  the terminal value under this
               method  is  established  by  multiplying  the  forecasted  terminal  year  profits  by  an
               approximate price minus the  earning multiple.  As usual,  the current price/earnings
               multiple can be used as proxy for future.
          5.   What is the total asset employed as on date?
               Illustration: The cash flows of a division of a company are given below:
                                                                              (` Crores)

                                             Year 1   Year 2   Year 3   Year 4   Year 5
            Net operating profit after tax (1)   65   70.20   75.40    80.6    87.10
            Depreciation expenses (2)         20       22      24       26      28
            Capital expenditure (3)           30       32      35       37      40
            Working capital (4)               20       22      23       25      27
            Free cash flow (5) = (1) + (2) – (3) – (4)   35   38.20   41.40   44.60   48.10

          Cash flows are expected to grow at 5% after 5th year.
          Cost of capital is 15% and assets employed ` 325 crores.
          Evaluate the performance of Division A.
          Solution:

                                            Year 1   Year 2   Year 3   Year 4   Year 5
            Free cash flow terminal value     35     38.20    41.40   44.60    48.10
                                                                              *505.05
            Discount factor @ 15%            0.870   0.756    0.658   0.572    0.497
            Discounted cash flow             30.45   28.88    27.24   25.51    274.91

               Total of Discounted Cash Inflow  386.99
               Less: Capital employed           325.00
               NPV                               61.99
               IRR of the Division (approx)       20%

               (i.e., the discount factor or the cost of interest the unit can bear)

          Note: *Terminal value =                ` 505.05 crores











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