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Recycle Management has a subsidiary that recycles waste with two subsidiaries—pa

ID: 2456552 • Letter: R

Question

Recycle Management has a subsidiary that recycles waste with two subsidiaries—paper and plastic Information related to the two subsidiaries follows:

Paper

Plastic

Total assets

   $11,000,000

$70,000,000

Current liabilities (65% interest-bearing)

        3,000,000

   12,000,000

Net income

          1,700,000

    6,000,000

Interest expense

          1,250,000

    600,000

Tax rate

30%

32%

The required rate of return is 14%. The cost of capital is 8%. How much is the residual income of Plastic?

Paper

Plastic

Total assets

   $11,000,000

$70,000,000

Current liabilities (65% interest-bearing)

        3,000,000

   12,000,000

Net income

          1,700,000

    6,000,000

Interest expense

          1,250,000

    600,000

Tax rate

30%

32%

Explanation / Answer

Residual Income (RI)

In the context of management accounting, residual income is a metric used to measure performance of a department. It measures the return earned by the department which is in excess of the minimum required return.

In the above formula,
   A = Net operating income;
   B = Capital employed; and
   C = Required Rate of return on capital employed

Net operating income = Net income + Tax + Interest expense

= 6,000,000 + 2,823,529 (6,000,000*32/68) + 600,000

= $ 9,423,529.

Capital employed = Total asset - Current liabilities

= 70,000,000 - 12,000,000

= $ 58,000,000

Residual Income of Plastic = 9,423,529 - ( 58,000,000 * 14% )

= 9,423,529 - 8,120,000

= $ 1,303,529 .

Residual Income (RI) = A (B × C)
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