Question

In: Economics

A company bought a new machine fot $300,000. The new machine generated revenue for $90,000 per...

A company bought a new machine fot $300,000. The new machine generated revenue for $90,000 per year. Operating cost of that machine is $10,000 per year. The machine is depreciated according to 7-years MACRS method. The machine is sold for $80,000 in the middle of 6th year of service. Determine the after tax net present worth. Assume, the after-tax MARR is 10% and income tax rate is 25% (federal and state combined).

Solutions

Expert Solution

Answer:

Year 0 1 2 3 4 5 6 Total
Revenues:
Annual revenue(in $) 90,000 90,000 90,000 90,000 90,000 45,000
Scrap value(in $) 80,000
Total Revenue 90,000 90,000 90,000 90,000 90,000 125,000
Expenses:
Initial investment(in $) 300,000
Annual Operating cost(in $) 10,000 10,000 10,000 10,000 10,000 5,000
Depreciation % 14.29 24.49 17.49 12.49 8.93 8.92
Depreciation value 300,000*14.29=42,870 73,470 52,470 37,470 26,790 26,760
Total expense 300,000 52,870 83,470 62,470 47,470 36,790 31,760
Profit before tax -300,000 37,130 6,530 27,530 42,530 53,210 93,210
Tax @25% 9,282.5 1,632.5 6,882.5 10,632.5 13,302.5 23,302.5
Profit after tax -300,000 27,847.5 4,897.5 20,647.5 31,897.5 39,907.5 69,907.5
Present Value at MARR 10% -300,000 27847.5/1+0.1=25,316 4897.5/(1+0.1)2=4,047.5 20,647.5/(1+0.1)3=15,513 31,897.5/(1+0.1)4=21,786 39,907.5/(1+0.1)5=24,779 69,907.5/(1+0.1)6=39,461 -169,098

Net Pressent worth of the investment is -169,098.


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