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In: Economics

Your company purchased an airplane for $470,000 and will depreciate it using a 7-year MACRS with...

Your company purchased an airplane for $470,000 and will depreciate it using a 7-year MACRS with a 6-year life. Salvage value in year 6 is expected to be $160,000. The airplane is expected to increase company revenues by $179,000 per year. However, O&M costs are expected to be $20,000 per year. Your company is in the 21% tax bracket and the company's MARR is 15%. What is the Net Present Worth of this investment?

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Expert Solution

A B C D=A-B-C E=D*21% I F=D-E+C+I G F*G Cost of asset          4,70,000
Year Cash from Revenue in ($ Mn) Cash Outflow (in $Mn) Depreciation Taxable Income Tax @21% Salvage Value net of tax After tax CF MARR @15% PV Year Rate Depreciation
Year 0        -4,70,000.00 -4,70,000.00     1.0000 -4,70,000.00 Year 1 14.29%        67,163.00
Year 1           1,79,000.00             20,000.00        67,163.00         91,837.00       19,285.77 1,39,714.23     0.8696 1,21,490.63 Year 2 24.49%     1,15,103.00
Year 2           1,79,000.00             20,000.00     1,15,103.00         43,897.00         9,218.37 1,49,781.63     0.7561 1,13,256.43 Year 3 17.49%        82,203.00
Year 3           1,79,000.00             20,000.00        82,203.00         76,797.00       16,127.37 1,42,872.63     0.6575       93,941.07 Year 4 12.49%        58,703.00
Year 4           1,79,000.00             20,000.00        58,703.00      1,00,297.00       21,062.37 1,37,937.63     0.5718       78,866.29 Year 5 8.93%        41,971.00
Year 5           1,79,000.00             20,000.00        41,971.00      1,17,029.00       24,576.09 1,34,423.91     0.4972       66,832.44 Year 6 8.92%        41,924.00
Year 6           1,79,000.00             20,000.00        41,924.00      1,17,076.00       24,585.96    1,39,615.93 2,74,029.97     0.4323 1,18,470.72 Depreciated Amount          4,07,067
5,08,760.00 PW 1,22,857.59 Book Value (470000-407067)             62,933
Salvage Value          1,60,000
Capital Gain (160000-62933)             97,067
Tax on Capital gain @21%*97067             20,384
                           1 Salvage Value net of tax (160000-20384)          1,39,616
It is assumed that company will pay tax at 21% on capital gains

Present Worth = Present Value of Cash Inflow - Present Value of cash Outflow.

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