A company has a payback goal of 3 years on new equipment acquisitions. A new sorter is being evaluated that costs $450,000 and has a 5-year life. Straight-line depreciation will be used; no salvage is anticipated. The company is subject to a 40% income tax rate. To meet the company’s payback goal, the sorter must generate reductions in annual cash operating costs o
Question
A company has a payback goal of 3 years on new equipment acquisitions. A new sorter is being evaluated that costs $450,000 and has a 5-year life. Straight-line depreciation will be used; no salvage is anticipated. The company is subject to a 40% income tax rate. To meet the company’s payback goal, the sorter must generate reductions in annual cash operating costs o
Solution
The question seems to be cut off. However, based on the information provided, we can start the calculation.
The payback period is the time it takes for an investment to generate an amount of income or cash equal to the cost of the investment. The company's payback goal is 3 years, so the new sorter must generate enough savings in cash operating costs to cover its cost ($450,000) within 3 years.
To calculate the annual cash operating cost savings required, we divide the total cost of the sorter by the payback period:
150,000 per year
This means the sorter must generate reductions in annual cash operating costs of at least $150,000 for the company to meet its payback goal of 3 years.
Please note that this calculation does not take into account the time value of money, and assumes that the cash savings are evenly distributed over the 3 years. Also, the impact of taxes and depreciation are not considered in this basic payback period calculation. If these factors are important, a more sophisticated capital budgeting technique, such as net present value or internal rate of return, may be more appropriate.
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