In: Economics
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).
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.