Omaha Grain Company has two divisions which reported the fol

Omaha Grain Company has two divisions, which reported the following results for the most recent year.

Compute each division’s residual income for the year under each of the following assumptions about the firm’s cost of acquiring capital.

Division I Division II

Residual Income at 12%

Residual Income at 15%

Residual Income at 18%

2. Calculate the imputed interest rate, at which the two divisions\' residual income is the same.

Imputed interest rate ______________%

Omaha Grain Company has two divisions, which reported the following results for the most recent year.

Solution

(1)

Residual income (RI) = Income - (Average invested capital x Cost of capital (COC))

So:

NOTE: First question is answered.

Division I
$
Income (A) 27,00,000
Invested Capital (B) 180,00,000
Residual Income @12% [(A) - (B) x 12%] 5,40,000
Residual Income @15% [(A) - (B) x 15%] 0
Residual Income @18% [(A) - (B) x 18%] -5,40,000
Division II
$
Income (A) 6,00,000
Invested Capital (B) 30,00,000
Residual Income @12% [(A) - (B) x 12%] 2,40,000
Residual Income @15% [(A) - (B) x 15%] 1,50,000
Residual Income @18% [(A) - (B) x 18%] 60,000

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