Question

In: Finance

ABC Inc., a wedge manufacturer, is deciding between two machines used for making wedges. Machine A...

ABC Inc., a wedge manufacturer, is deciding between two machines used for making wedges. Machine A will cost $70,000 and Machine B will cost $120,000. The annual before-tax operating costs for Machine A and B are $7,500 and $6,000, respectively. Machine A will last for 2 years before it has to be replaced, whereas Machine B will last for 3 years before it must be replaced. The machines are subject to CCA rate of 30%, and the company's marginal tax rate is 35%. If the required return for ABC is 16%, which machine should ABC choose? Assume that salvage is zero.

Multiple Choice

  • Choose Machine B as its EAC is lower by $6,761.

  • Choose Machine B as its EAC is higher by $6,761.

  • Choose Machine B as its EAC is higher by $1,480.

  • Choose Machine A as its EAC is lower by $1,480.

  • Choose Machine A as its EAC is lower by $6,761.

Solutions

Expert Solution

PARTICULARS MACHINE A
INVESTMENT 70000
DEPRCEIATION CCA FOR PLNAT & EQUIPMENT
IS 30%
Ist YEAR CLAIM ONLY 15% ( HALF OF 30) 70000 10500
2 nd YEAR 30% 59500 17850
WDV 41650
PV FACTORE YEAR 1 YEAR 2
16% 0.862 0.743162901 1.605
YEAR1 YEAR2
INVESTMENT 70000 70000
BEFORE TAX OPERATING COST 7500 7500
DEPRECIATION 10500 17850
TOTAL COST 18000 25350
TAX ADVANTAGE 35% 6300 8872.5
NET COST 11700 16477.5
LESS DEPRECIATION NON CASH ITEM 10500 17850
CASH OUTFLOW 1200 -1372.5
LESS TAX ADVANTAGE OF CAPTAL LOSS-WDV -41650*35% 14577.5
NET CASH OUTFLOW 1200 -15950
PV FACTOR 0.862 0.743
PRESENT VALUE CASH OUTFLOW 1034.4 -11850.85 -10816.45
TOTAL COST 59183.55
EQUIVALENT CASH FLOW TOTAL OUTFLOW/TOTALPV FACTOR 59183.55/1.605
36869.16
PARTICULARS
INVESTMENT MACHINE B
120000
DEPRCEIATION CCA FOR PLNAT & EQUIPMENT
IS 30%
Ist YEAR CLAIM ONLY 15% ( HALF OF 30) 120000 18000
2 nd YEAR 30% 102000 30600
3 rd YEAR   30% 71400 21420
49980
PV FACTORE YEAR 1 YEAR 2 YEAR 3
16% 0.862 0.743162901 0.641 2.246
YEAR 1 YEAR 2 YEAR 3 TOTAL
INVESTMENT 120000 120000
BEFORE TAX OPERATING COST 6000 6000 6000
DEPRECIATION 18000 30600 21420
TOTAL COST 24000 36600 27420
TAX ADVANTAGE 35% 8400 12810 9597
NET COST 15600 23790 17823
LESS DEPRECIATION-NON CASH ITEM 18000 30600 21420
CASH OUTFLOW -2400 -6810 -3597
LESS TAX ADVANTAGE OF CAPTAL LOSS-WDV -49980*35% 17493
NET CASH OUTFLOW -2400 -6810 -21090
PV FACTOR 0.862 0.743 0.641
PRESENT VALUE CASH OUTFLOW -2068.8 -5059.83 -13518.69 -20647.32
TOTAL COST 99352.68
EQUIVALENT CASH FLOW-3 YEARS 99352.68/2.246
TOTAL OUTFLOW/TOTALPV FACTOR 44235.39
DIFFERENCE 7366.23
ANSWER NONE OF THE OPTIONS
Choose Machine A as its EAC is lower by $7366

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