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Homework answers / question archive / Fox Co is considering an investment that will have the following sales, variable costs, and fixed operating costs: Year 1 Year 2 Year 3 Year 4 Unit sales 5,500 5,200 5,700 5,820 Sales price $42
Fox Co is considering an investment that will have the following sales, variable costs, and fixed operating costs: Year 1 Year 2 Year 3 Year 4 Unit sales 5,500 5,200 5,700 5,820 Sales price $42.57 $43.55 $44.76 $46.79 Variable cost per unit $22.83 $22.97 $23.45 $23.87 Fixed operating costs except depreciation $66,750 $68,950 $69,690 $68,900 Accelerated depreciation rate 33% 45% 15% 7% This project will require an investment of $10,000 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. (Note: Round your answer to the nearest whole dollar.) $99,146 $74,360 O $82,622 O $95,015 Now determine what the project's NPV would be when using straight-line depreciation. (Note: Round your answer to the nearest whole dollar.) The depreciation method will result in the highest NPV for the project.
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? (Note: Round your answer to the nearest whole dollar.) $1,055 O $1,365 O $931 O $1,241 Fox spent $1,500 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? Increase the amount of the initial investment by $1,500. O Increase the NPV of the project $1,500. The company does not need to do anything with the cost of the marketing study because the marketing study is a sunk cost.
Answer :
Year 0 | Year 1 | Year 2 | Year 3 | Year 4 | |
Initial Investment | -10000 | ||||
Annual Sales Revenue (Units * Selling Price per unit) | 234135 | 226460 | 255132 | 272317.8 | |
Variable Cost (Units * Variable Cost per unit) | -125565 | -119444 | -133665 | -138923 | |
Less : Fixed Cost | -66750 | -68950 | -69690 | -68900 | |
Less : Depreciation (20000 * Rate of Depreciation) | -3300 | -4500 | -1500 | -700 | |
Earning before taxes | 38520 | 33566 | 50277 | 63794.4 | |
Taxes @ 40% | -15408 | -13426.4 | -20110.8 | -25517.8 | |
Incremental Net Income | 23112 | 20139.6 | 30166.2 | 38276.64 | |
Add : Depreciation | 3300 | 4500 | 1500 | 700 | |
Operating Cash Flows | -10000 | 26412 | 24639.6 | 31666.2 | 38976.64 |
PV Factor @ 11% | 1 | 0.900901 | 0.811622 | 0.731191 | 0.658731 |
PV of Net Cash flows (Inflow) | 23794.59 | 19998.05 | 23154.05 | 25675.12 | |
PV of Net Cash flows (Outflow) | -10000 | ||||
The net present value (NPV) of this project is | = $ 82622 | ||||
NPV = PV of cash inflow - PV of cash outflow | |||||
= 92622- 10000 | |||||
= $ 82622 |
Year 0 | Year 1 | Year 2 | Year 3 | Year 4 | |
Initial Investment | -10000 | ||||
Annual Sales Revenue (Units * Selling Price per unit) | 234135 | 226460 | 255132 | 272317.8 | |
Variable Cost (Units * Variable Cost per unit) | -125565 | -119444 | -133665 | -138923 | |
Less : Fixed Cost | -66750 | -68950 | -69690 | -68900 | |
Less : Depreciation (10000/4) | -2500 | -2500 | -2500 | -2500 | |
Earning before taxes | 39320 | 35566 | 49277 | 61994.4 | |
Taxes @ 40% | -15728 | -14226.4 | -19710.8 | -24797.8 | |
Incremental Net Income | 23592 | 21339.6 | 29566.2 | 37196.64 | |
Add : Depreciation | 2500 | 2500 | 2500 | 2500 | |
Operating Cash Flows | -10000 | 26092 | 23839.6 | 32066.2 | 39696.64 |
PV Factor @ 11% | 1 | 0.900901 | 0.811622 | 0.731191 | 0.658731 |
PV of Net Cash flows (Inflow) | 23506.31 | 19348.75 | 23446.53 | 26149.41 | |
PV of Net Cash flows (Outflow) | -10000 | ||||
The net present value (NPV) of this project is | = $ 82451 | ||||
NPV = PV of cash inflow - PV of cash outflow | |||||
= 92451- 10000 | |||||
= $ 82451 |
The Accelerated Depreciation method produces higher Depreciation method.
Correct option is 1241
Reason :
The amount of division after tax cash Flow = (400 * PVAF@11% for 4 years)
= (400 * 3.10244568956)
= 1241
Answer : Correct Option is The company doesnoy do anything with the cost of marketing study because the marketing study is a sunk Cost. and irrelevant for decision making