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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