Corporate Finance Q65

0. Capital budgeting projects A and B have similar outlays, but different patterns of future cash flows. The required rate of return for both projects is 12 percent, at which the NPV and IRR turn out to be as follows:
 Cash Flows  
Year    0 123 4NPVIRR(%)
Project A     -5000011017.7721.79
Project B    -5022 22222215.0227.18

  • Option : C
  • Explanation : For these projects, a discount rate of 15.09 percent would yield the same NPV for both (an NPV of 11.03). The cross over point needs to be before the lower IRR (21.79).
    Note: The discount rate (crossover point) at which both the projects have the same NPV is the IRR for the differences in cash flows of the projects. For instance, in this case, it is CF0 = 0, CF1 = -22, CF2 = -22, CF3 = -22, CF4 = 88, CPT IRR. IRR = 15.09%.
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