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25. Responsibility accounting: Segmental analysis

            Economic value added and residual income

            When a company uses ROI to evaluate performance, managers have incentives to focus on the average returns
          from their segments' assets. However, the company's best interest is served if managers also focus on the marginal
          returns.
            To illustrate, assume the manager of Segment 3 in Exhibit 209, has an opportunity to take on a project involving
          an investment of USD 100,000 that is estimated to return USD 22,000, or 22 per cent, on the investment. Since the
          segment's ROI is currently 25 per cent, or USD 250,000/USD 1,000,000, the manager may decide to reject the

          project   because   accepting   the   project   will   cause   the   segment's   ROI   to   decline.   Suppose   however,   from   the
          company's point of view, all projects earning greater than a 10 per cent return should be accepted, even if they are
          lower than a particular segment's ROI.
            Before acceptance of the project by Segment 3, the amounts are as follows:
                                   Segment 1  Segment 2 Segment 3
          a. Income                $ 100,000  $ 500,000  $ 250,000
          b. Investment            1,000,000  2,500,000  1,000,000
          c. Cost of capital       10%       10%       10%
          d. Desired minimum income  $ 100,000  $ 250,000  $ 100,000
          e. Residual Income (RI)  -0-       250,000   150,000
            With acceptance of the project by Segment 3, the amounts would be as follows:
                             Segment Segment Segment
                             1       2       3
          a. Income          $ 100,000 $ 500,000 $ 272,000†
          b. Investment      1,000,000 2,500,000 1,100,000‡
          c. Cost of capital  10%    10%     10%
          d. Desired minimum income$ 100,000 $ 250,000 $ 110,000
          e. Residual Income (RI)  -0-  250,000  162,000
          † $250,000 + (22% of
          $100,000).
          ‡ $1,000,000 original
          investment + $100,000
          new investment.
            Exhibit 209: Computation of Residual Income (RI)
            The rejection by a segment manager of a project that exceeds the 10 per cent desired minimum return is an

          example of suboptimization.  Suboptimization  occurs when a segment manager takes an action that is in the
          segment's best interest but is not in the best interest of the company as a whole.
            To deal with this type of suboptimization, many companies use the concept of economic value added which
          computes the residual income of a business segment. Residual income (RI) is defined as the amount of income a
          segment has in excess of the segment's investment base times its cost of capital percentage. Each company based on
          debt costs establishes its cost of capital coverage and desired returns to stockholders. The formula for residual
          income (RI) is:
              RI=Income−Investment×Cost of capital percentage
            When a company uses RI to evaluate performance, the segment rated as the best is the segment with the greatest

          amount of RI rather than the one with the highest ROI.
            Returning to our example, the project opportunity for Segment 3 could earn in excess of the desired minimum
          ROI of 10 per cent. In fact, the project generates RI of USD 12,000, calculated as (USD 22,000 - [10 per cent X USD
          100,000]). If RI were applied as the basis for evaluating segmental performance, the manager of Segment 3 would
          accept the project because doing so would improve the segment's performance. That choice would also be beneficial
          to the entire company.


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