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Unit 9: Capital Budgeting



            Weakness and Difficulties                                                             Notes


            1.   Being a subjective estimate it cannot be objective, precise and consistent, hence conclusions
                 based on such estimates are open to question.
            2.   It does not directly use the probability distribution of possible cash flows.

            3.   It cannot be consistently applied to various projects and over time.

                   Example:



                   Cash outflows                               1,50,000
                   Cash inflows     Year 1                      70,000
                                    Year 2                      90,000

                                    Year 3                      60,000
            Riskless rate of return 9%
            Risk adjusted rate of return for the current project 20%
            Certainty equivalent coefficients for future cash inflows:

                          Year 1                0.90
                          Year 2                0.80
                          Year 3                0.65
            Solution:

            NPV based on risk-adjusted rate of discount
                                    70,000  90000  60000
                        = – 150,000 +    +      +
                                     1.20  (1.20) 2  (1.20) 3
                        = – 150,000 + 58,333 + 62500 + 41667 = –150000 + 162500
                        = 12500, positive; hence project should be accepted
            NPV based on certainty equivalent coefficient:
                                    70,000 × 0.90  90000 × 0.80  60000 × 0.65
                        = – 150,000 +         +       2   +       3
                                       1.09       (1.09)      (1.09)
                        = – 150000 + 57798 + 60601 + 30115
                        = – 150000 + 148514 = – 1486
                        = Negative; hence project should not be accepted.
            Hence from the above illustration, it is clear that both the above methods may not yield identical
            results.

            9.7.4  Probability Distribution Approach

            The probability distribution of cash flows over different periods provides valuable information
            about expected value of return and the dispersion of probability distribution of possible returns.
            On this basis, an accept-reject decision can be taken.
            The  application of probability distribution approach in analysing risk  in capital budgeting
            depends upon the behaviour of the cash flows whether the cash flows are (a) independent or




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