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PA10-1 (Algo) Calculating Return on Investment, Residual Income, Determining Effect of Changes in Sales, Expenses, Invested A

The companys hurdle rate is 7.26 percent. Required: 1. Calculate return on investment (ROI) and residual income for each div

The companys hurdle rate is 7.26 percent. Required: 1. Calculate return on investment (ROI) and residual income for each div

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Answer #1

Req 1)

River Division Stream Division
ROI 33.27% 34.90%
Residual income (Loss) $262,674 $406,278

Explanation:-

ROI = Net operating income/ Average Invested Assets
River Division = $336,000/$1,010,000 = 33.27%
Stream Division = $513,000/$1,470,000 = 34.90%
Residual income = Net operating income - (Average invested assets × Hurdle rate)
River Division= $336,000 - ($1,010,000 × 7.26%)
River Division = $336,000 - $73,326 = $262,674
Stream Division = $513,000 - ($1,470,000 × 7.26%)
Stream Division = $513,000 - $106,722 = $406,278

Req 2A)

River Division Stream Division
ROI 36.59% 38.39%
Residual income $296,274 $457,578

Explanation:-

ROI = Net operating income/ Average invested assets
River Division (Net operating income )= $336,000 +10% = $369,600
Stream Division (Net operating income) = $513,000 +10% = $564,300
River division = $369,600/$1,010,000 = 36.59%
Stream division = $564,300/$1,470,000 = 38.39%
Residual income = Net operating income - (Average invested assets × Hurdle rate)
River division = $369,600 - ($1,010,000 × 7.26%) = $296,274
Stream division $564,300 - ($1,470,000 × 7.26%) = $457,578

Req 2B)

River Division Stream Division
ROI 29.94% 31.41%
Residual income $229,074 $354,978

Explanation:-

ROI = Net Operating income/ Average invested assets
Net operating income (River division)= $336,000 - 10% = $302,400
Net operating income (Stream Division) = $513,000 -10% = $461,700
River division = $302,400/$1,010,000 = 29.94%
Stream division = $461,700/$1,470,000 = 31.41%
Residual income = Net operating income - (Average invested assets × Hurdle rate)
River division = $302,400 - ($1,010,000 × 7.26%) = $229,074
Stream division = $461,700 - ($1,470,000 × 7.26%) = $354,978

Req 2C)

River Division Stream Division
ROI 35% 35.93%
Residual income $348,741.8 $492,345.8

Explanation:-

Net operating income:
River Division = $336,000 + $104,000 = $440,000
Stream Division = $513,000 + $104,000 = $617,000
Average investment assets:
River division = $1,010,000 + $247,000 = $1,257,000
Steam division = $1,470,000 + $247,000 = $1,717,000
ROI = Net operating income/ average invested assets
River division = $440,000/$1,257,000 = 35%
Stream division = $617,000/$1,717,000 = 35.93%
Residual income = Net operating income - (Average invested assets × Hurdle rate)
River division = $440,000 - ($1,257,000 × 7.26%) = $348,741.8
Stream division = $617,000 - ($1,717,000 × 7.26%) = $492,345.8

Req. 2D)

River division Stream division
ROI 33.27% 34.90%
Residual income $282,874 $435,678

Explanation:-

ROI= Net operating income/ Average invested assets
River division = $336,000/$1,010,000 = 33.27%
Stream division = $513,000/$1,470,000 = 34.90%
Residual income = Net operating income - (Average invested assets × Hurdle rate)
River division = $336,000 × ($1,010,000 × 5.26%) = $282,874
Stream division = $513,000 ×($1,470,000 ×5.26%) = $435,678
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