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                  484                               Corporate Finance                      BRILLIANT’S


                      Note: Contribution margin ratio = 1 – Variable margin ratio
                                                    = 1 – 66.67% or 1 – 0.6667
                                                    = 0.333
                      Thus, the accounting break even level of sales is ` 90,090.
                      Financial break even analysis:
                         PV (Cashflows) = Investment
                         PVAF [12%,10 years] × [Cashflows] = ` 20,00,000
                      Calculation of cashflows: Let sales at break even point be x.
                      Cashflows = x × Contribution ratio
                               Less :   Fixed cost
                               Less :   Depreciation
                               Less :  Tax
                                      Profit After tax
                               Add :  Depreciation
                                      Cashflows

                                          10,000
                               Tax Rate =       % 33.33%
                                          30,000
                             Cashflows = [x × 0.333 – [10,000 + 20,000]] [1 – Tax rate] + 20,000
                                        = [0.333x – 30,000] × 0.6667 + 20,000
                                        = 0.222x – 20,000 + 20,000 = 0.222x
                      Financial break-even point
                                        = PVAF [12%,10 years] × 0.222x = ` 20,00,000
                                        = 5.650 × 0.222x = ` 20,00,000
                                     x = ` 15,94,515
                      Thus, the financial break-even level of sales is ` 15,94,515. It means the company has to attain
                  a target sales of ` 15,94,515 for the investment to have a zero NPV.
                   Illustration 5.2.9


                                   Cash Inflows  (H¡$e BZâbmo)   Probabilities  (àmo~o{~{bQ>rO)
                                             (`)
                                           10,000                           0.3
                                           12,000                           0.4
                                           15,000                           0.2
                                           17,000                           0.1
                      The above estimated cash inflows indicate that there is 30% chance that the cash inflow
                  would be ` 10,000; 40% chance that it may be ` 12,000 and so on. On the basis of these estimated
                  cash inflows, we may calculate expected value of cash flows as:
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