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Unit 7: Concept of Leverages




          Significance of Combined Leverage                                                     Notes

          A high operating leverage and a high financial leverage combination is very risky. If the company
          is producing and selling at a high level it will make extremely high profit for its shareholders.
          But, even a small fall in the level of operations would result in tremendous fall in earnings per
          share. A company must, therefore, maintain a proper balance between these two leverages.
          A combination of high operating level and a low financial leverage indicates that the management
          is careful since the higher amount of risk involved in high operating leverage has been sought
          to be balanced by low financial leverage. However, a more preferable option would be to have
          a low operating leverage and a high financial leverage. A low operating leverage implies that
          the company reaches its break-even point at a low level of sales. Therefore, risk is diminished.
          A highly cautious and conservative manager will keep both its operating and financial leverage
          at a very low level, but the approach may, however, mean that the company is losing profitable
          opportunities.


                 Example: Cable Company, a computer cable manufacturer expects sales of 20,000 units
          @  50 per unit in the coming year and must meet the following obligations: Variable operating
          costs of  20 per unit, fixed operating costs of  100,000, interest of  200,000 as preferred stock
          dividends of   120,000. The firm is in the 40% tax bracket  and  has 50,000  of equity  shares
          outstanding. If we present the levels of earnings per share associated with the expected sales of
          20,000 units as with sales of 30,000 units, it will look as below:

                                                    = 50% [% increase in sales (units)]
            Sales in units                    20,000       30,000     Operating leverage
            Sales revenue                     10,00,000    15,00,000       + 60%
                                                                          
                                                                           + 50%
            Less variable operating costs     400,000      600,000
                                                                           = 1.2
            Less fixed operating costs        100,000      100,000
            Earnings before interest & taxes EBIT   500,000   800,000
                                                       + 60% [% increase in EBIT]
            Less interest                    200,000      200,000
            Net profit before taxes          300,000      600,000
            Less taxes 40%                   120,000      240,000
            Net profit after tax             180,000      360,000
            Less pref. stock dividends       120,000      120,000      Financial leverage
            Earnings available for equity shares   60,000   240,000      + 300%
                                                                               = 5.0
                                                                         + 60%
            No. of shares                     50,000      50,000
            Earnings per share                 1.20         4.80
                                              + 300% [% increase in EPS]   Combined leverage
                                                                       + 300%
                                                                             = 6.0
                                                                         50%

          The table illustrates that as a result of 50% increase in sales (from 20,000 to 30,000 units), the firm
          would have a 300% increase in earnings per share (from  1.20 to   4.80). Similarly,  a 50%
          decrease in sales would conversely, result in a 300% decrease in earnings per share (not shown
          in the table). The linear nature of the leverage relationship accounts for the fact that sales charges
          of equal magnitude in opposite directions results in  EPS charges of equal magnitude in the




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