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Garden-Grow Products is considering a new investment whose data are shown below.

ID: 2701435 • Letter: G

Question

Garden-Grow Products is considering a new investment whose data are shown below. The equipment would be depreciated on a straight-line basis over the project's 3-year life, would have a zero salvage value, and would require some additional working capital that would be recovered at the end of the project's life. Revenues and other operating costs are expected to be constant over the project's life. What is the project's NPV? (Hint: Cash flows are constant in Years 1 to 3.)


WACC 10.0%

Net investment in fixed assets (basis) $75,000

Required new working capital $15,000

Straight-line deprec. rate 33.333%

Sales revenues, each year $75,000

Operating costs (excl. deprec.), each year $25,000

Tax rate 35.0%



PLEASE SHOW WORK!!!

Explanation / Answer

Depreciation per year = 75000/3 = 25000

Cashflow in year 0 = -75000-15000 = -90000


Profit before tax = sales - operating cost - depreciation = 75000-25000-25000 = 25000

Tax = 35%*25000 = 8750

Net income = 25000*(1-35%)= 16,250


Cashflow in years 1 and 2 = net income + depreciation = 16,250+25000 = 41,250

Cashflow in year 3 = 41,250 + 15000 (recovered from working capital) = 56,250


NPV = -90000+41,250/1.1^1+41,250/1.1^2+56,250/1.1^3 = $23,852.37