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Please answer all four parts. Fox Co. is considering an investment that will hav

ID: 2718734 • Letter: P

Question

Please answer all four parts.

Fox Co. is considering an investment that will have the following sales, variable costs, and fixed operating costs: This project will require an investment of $25,000 in new equipment. The equipment will have no salvage value at the end of the project's four-year life. Fox pays a constant tax rate of 40%, and it has a weighted average cost of capital (WACC) of 11%. Determine what the project's net present value (NPV) would be when using accelerated depreciation. Determine what the project's net present value (NPV) would be when using accelerated depreciation. $43,462 $36,218 $28,974 $41,651 Now determine what the project's NPV would be when using straight-line depreciation. Using the depreciation method will result in the highest NPV for the project. No other firm would take on this project if Fox turns it down. How much should Fox reduce the NPV of this project if it discovered that this project would reduce one of its division's net after-tax cash flows by $400 for each year of the four-year project? Fox spent $2,500 on a marketing study to estimate the number of units that it can sell each year. What should Fox do to take this information into account? The company does not need to do anything with the cost of the marketing study because the marketing study is a sunk cost. Increase the amount of the initial investment by $2,500. Increase the NPV of the project $2,500.

Explanation / Answer

Fox CO Details Year 0 Year 1 Year 2 Year 3 Year 4 Unit sales                           4,800            5,100                  5,000             5,120 Sales Price                           22.33            23.45                  23.85             24.45 Variable cost/unit                             9.45            10.85                  11.95             12.00 Fixed Cost                         32,500          33,450               34,950           34,875 Accelerated depr rate 33% 45% 15% 7% Investment in New Equipment               (25,000) Sales Revenue                      107,184       119,595             119,250         125,184 Variable Cost                         45,360          55,335               59,750           61,440 Fixed cost                         32,500          33,450               34,950           34,875 Depreciation                           8,250          11,250                  3,750             1,750 Net Income before tax                         21,074          19,560               20,800           27,119 Tax @40%                           8,430            7,824                  8,320           10,848 Net Income after Tax                         12,644          11,736               12,480           16,271 Addback depreciation                           8,250          11,250                  3,750             1,750 Total Cash Flow                         20,894          22,986               16,230           18,021 Discount factor @11%                            1                         0.9009          0.8116               0.7312           0.6587 PV of Cash Flows               (25,000)                         18,824          18,656               11,867           11,871 NPV = $             36,218 NPV using straight line depreciation Details Year 0 Year 1 Year 2 Year 3 Year 4 Unit sales                           4,800            5,100                  5,000             5,120 Sales Price                           22.33            23.45                  23.85             24.45 Variable cost/unit                             9.45            10.85                  11.95             12.00 Fixed Cost                         32,500          33,450               34,950           34,875 Accelerated depr rate 33% 45% 15% 7% Investment in New Equipment               (25,000) Sales Revenue                      107,184       119,595             119,250         125,184 Variable Cost                         45,360          55,335               59,750           61,440 Fixed cost                         32,500          33,450               34,950           34,875 Depreciation                           6,250            6,250                  6,250             6,250 Net Income before tax                         23,074          24,560               18,300           22,619 Tax @40%                           9,230            9,824                  7,320             9,048 Net Income after Tax                         13,844          14,736               10,980           13,571 Addback depreciation                           6,250            6,250                  6,250             6,250 Total Cash Flow                         20,094          20,986               17,230           19,821 Discount factor @11%                            1                         0.9009          0.8116               0.7312           0.6587 PV of Cash Flows               (25,000)                         18,103          17,033               12,598           13,057 NPV = $             35,791 So NPV by using straight line method will be $35791 NPV if the project results in reduction of after tax cash flow of $400 in other project Details Year 0 Year 1 Year 2 Year 3 Year 4 Unit sales                           4,800            5,100                  5,000             5,120 Sales Price                           22.33            23.45                  23.85             24.45 Variable cost/unit                             9.45            10.85                  11.95             12.00 Fixed Cost                         32,500          33,450               34,950           34,875 Accelerated depr rate 33% 45% 15% 7% Investment in New Equipment               (25,000) Sales Revenue                      107,184       119,595             119,250         125,184 Variable Cost                         45,360          55,335               59,750           61,440 Fixed cost                         32,500          33,450               34,950           34,875 Depreciation                           8,250          11,250                  3,750             1,750 Net Income before tax                         21,074          19,560               20,800           27,119 Tax @40%                           8,430            7,824                  8,320           10,848 Net Income after Tax                         12,644          11,736               12,480           16,271 Addback depreciation                           8,250          11,250                  3,750             1,750 Less reduction in cash flow of other project                            (400)             (400)                   (400)               (400) Total Cash Flow                         20,494          22,586               15,830           17,621 Discount factor @11%                            1                         0.9009          0.8116               0.7312           0.6587 PV of Cash Flows               (25,000)                         18,463          18,331               11,575           11,608 NPV = $             34,977 So NPV will be reduced by (36218-34977)=$1241 Regarding expense of market study, it is a sunk cost , so nothing to be done by company.

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