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                                    Ele v e n
                           Cha p te r

                                                   Year 1      Year 2     Year 3
                           Sales revenue           $10,000     $11,000    $12,000
                           Less: variable costs    6,000       7,000      8,000
                           Less: fixed costs*      2,000       2,000      2,000
                           Cash flow from production  $2,000   $2,000     $2,000
                           Sales of equipment      0           0          1,000
                           Net cash flow           $2,000      $2,000     $3,000

                          ∗ Not including depreciation charges.
                          TABLE 11.7  Revenues and Cost Characteristics


                          of the investment were $6.29 or less and brought in the same amount,
                          the present value of the investment opportunity would be positive.
                          The general rule is that investment opportunities with a positive
                          present value should be taken.

                            Example.  Assume you have an opportunity to buy a piece of equipment for
                            $5000. With this equipment, products can be manufactured with the revenue
                            and cost characteristics described in Table 11.7.


                             The present value of the cash flows in Table 11.7, computed as in
                          Table 11.6, is $6300. The value of the investment in the opportunity is
                          therefore $6300 – $5000, or $1300. This positive investment opportu-
                          nity value shows that the equipment investment will have a higher
                          rate of return than the 5 percent available on the next best investment
                          (assumed to be a savings account paying 5 percent). The depreciation
                          is not considered a cash flow item and thus should not be included as
                          a cash cost. The example illustrated does not include depreciation
                          charges. In addition, these figures do not include income tax pay-
                          ments (which are a cash flow item).
                             However, the cash flow figures in Table 11.8 do take taxes into
                          account. Once taxes are included, depreciation should be considered
                          as well, since depreciation is tax deductible.
                             This calculation may also be set up as follows:


                            Net cash flow (ignoring taxes)  $2000  $2000    $3000
                            Less: Income taxes—as above   80      80        80
                            Net cash flow                 $1920   $1920     $2920
                             The present value is $6092, rather than the $6300 calculated from
                          the earlier figure, which did not include taxes. The value of the invest-
                          ment opportunity, after income taxes, is $1092, which is still higher
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