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Cost-Cutting Proposals Massey Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for \(\$ 530,000\) is estimated to result in \(\mathbf{\$ 2 3 0 , 0 0 0}\) in annual pretax cost savings. The press falls in the MACRS five-year class, and it will have a salvage value at the end of the project of \(\$ 70,000\). The press also requires an initial investment in spare parts inventory of \(\$ 20,000\), along with an additional \(\$ 3,000\) in inventory for each succeeding year of the project. If the shop's tax rate is 35 percent and its discount rate is 14 percent, should Massey buy and install the machine press?

Short Answer

Expert verified
The Net Present Value (NPV) of the project is found to be \$269,177 at a 14% discount rate, which is positive. Therefore, Massey Machine Shop should buy and install the machine press, as it will result in a positive return on investment.

Step by step solution

01

Compute the MACRS depreciation rates

First, simplify the calculation by finding the depreciation rates associated with the 5-year MACRS class for the asset's 4-year project life. \[ Year 1: 0.20 \\ Year 2: 0.32 \\ Year 3: 0.19 \\ Year 4: 0.12 \ \] Remember, the project is only for four years, even though the MACRS life is five years.
02

Calculate the annual depreciation expense

Next, use the MACRS depreciation rates to calculate the annual depreciation expense for the machine press (\(\$ 530,000\)): \[ Year 1: \$530,000 \times 0.20 = \$106,000 \\ Year 2: \$530,000 \times 0.32 = \$169,600 \\ Year 3: \$530,000 \times 0.19 = \$100,700 \\ Year 4: \$530,000 \times 0.12 = \$63,600 \ \]
03

Calculate the annual tax savings

Now, calculate the tax savings from the depreciation expense for each year of the project by multiplying the annual depreciation expense by the tax rate (35%): \[ Year 1: \$106,000 \times 0.35 = \$37,100 \\ Year 2: \$169,600 \times 0.35 = \$59,360 \\ Year 3: \$100,700 \times 0.35 = \$35,245 \\ Year 4: \$63,600 \times 0.35 = \$22,260 \ \]
04

Calculate the Net Cash Flow (NCF) for each year

Subtract the annual inventory investment and add the annual pretax cost savings and tax savings to determine the Net Cash Flow (NCF) for each year: \[ Year 1: -\$20,000 + \$230,000 +\$37,100 = \$247,100 \\ Year 2: -\$3,000 + \$230,000 +\$59,360 = \$286,360 \\ Year 3: -\$3,000 + \$230,000 +\$35,245 = \$262,245 \\ Year 4: -\$3,000 + \$230,000 +\$22,260 + \$70,000 = \$319,260 \ \] Factor in the \$70,000 salvage value in the Year 4 NCF.
05

Compute the Present Value (PV) of NCFs

Discount the Net Cash Flow (NCF) for each year to find the Present Value (PV) at a 14% discount rate: \[ PV_{1} = \frac{\$247,100}{(1+0.14)^1} = \$216,579 \\ PV_{2} = \frac{\$286,360}{(1+0.14)^2} = \$218,959 \\ PV_{3} = \frac{\$262,245}{(1+0.14)^3} = \$177,108 \\ PV_{4} = \frac{\$319,260}{(1+0.14)^4} = \$186,531 \ \]
06

Calculate the Net Present Value (NPV)

Find the Net Present Value (NPV) by subtracting the initial cost of \$530,000 from the sum of the discounted cash flows: \[ NPV = (\$216,579 + \$218,959 + \$177,108 + \$186,531) - \$530,000 = \$269,177 \] Since the NPV is positive (\(\$ 269,177\)), Massey Machine Shop should proceed with the purchase and installation of the machine press, as it will result in a positive return of investment.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

MACRS Depreciation
MACRS stands for Modified Accelerated Cost Recovery System and is a method used in the United States to depreciate tangible property. It allows businesses to recover the cost of depreciable assets for tax purposes over a specified lifespan. The MACRS system is designed to allow accelerated depreciation, meaning that more depreciation can be taken in the initial years of an asset's life.

In the context of this exercise, the new machine press falls under the five-year property class, despite only being used for four years in the project. The relevant MACRS depreciation rates for the first four years are 0.20, 0.32, 0.19, and 0.12, respectively.

This means, for instance, in the first year, 20% of the asset's value (\(\(530,000 \times 0.20 = \)106,000\)) is depreciated. Using MACRS helps to maximize early tax deductions, improving cash flow for the business in the short term.
Cost Savings
Cost savings refer to the reduction of expenses achieved through improved efficiency or the acquisition of cost-effective resources. In the case of Massey Machine Shop, purchasing the new machine press is expected to generate annual pretax cost savings of \($230,000\) by enhancing production efficiency.

These savings significantly impact the cash flow analysis, as they are considered cash inflows for each year of the project. It's important to note that cost savings do not incur additional costs, such as interest, thus they directly improve the company's net cash flow each year.

By incorporating these savings into the analysis, we can better evaluate whether the investment in the machine is financially viable.
Cash Flow Analysis
Cash flow analysis involves tracking the inflows and outflows of cash in a business over a period. It is an essential component in evaluating the financial viability of capital projects, like the purchase of the machine press for Massey Machine Shop.

To conduct a cash flow analysis for this project, you should:
  • Start with identifying all potential cash inflows, such as cost savings from increased efficiency and tax savings from depreciation.
  • Consider all cash outflows, including initial investments in inventory and ongoing spare parts costs.
  • Calculate Net Cash Flow (NCF) for each period by subtracting outflows from inflows. For this project, the NCF for each year combines the initial inventory costs, tax savings, and operational cost savings.
  • Include the salvage value as an inflow at the end of the project.
This detailed cash flow analysis helps in understanding how the investment affects the company's finances annually.
Discount Rate
The discount rate is used in financial calculations to determine the present value of future cash flows. It reflects the opportunity cost of capital by considering the time value of money. For this project, a discount rate of 14% has been used to assess the present value of the future cash flows from the machine press.

To calculate the present value (PV) of each year's net cash flow (NCF), the formula used is:\[PV = \frac{NCF}{(1 + \, discount \, rate)^n}\]where \(n\) is the year.

Employing a higher discount rate results in a lower present value, impacting the project's net present value (NPV). A sufficiently low discount rate makes the investment more attractive, as it raises the NPV, indicating higher returns. Choosing the correct rate is crucial as it balances potential risks and expected returns.
Salvage Value
Salvage value is the estimated residual value of an asset at the end of its useful life, after accounting for depreciation. It represents the amount that a company expects to recover from an asset's sale when the project or asset's operation concludes.

In this exercise, the machine press has a projected salvage value of \($70,000\) at the end of the four-year project. This amount is considered an inflow in the cash flow analysis during the final year.
  • It slightly offsets the total investment costs.
  • It impacts the calculation of the net present value (NPV) by providing a cash flow at the project's end.
Estimating an accurate salvage value is key, as underestimating or overestimating it can significantly affect the overall cash flow and NPV, impacting investment decisions.

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Most popular questions from this chapter

Calculating Project NPV J. Smythe, Inc., manufactures fine furniture. The company is deciding whether to introduce a new mahogany dining room table set. The set will sell for \(\$ 5,600\), including a set of eight chairs. The company feels that sales will be 1,800, 1,950, 2,500, 2,350, and 2,100 sets per year for the next five years, respectively. Variable costs will amount to 45 percent of sales, and fixed costs are \(\$ 1.9\) million per year. The new tables will require inventory amounting to 10 percent of sales, produced and stockpiled in the year prior to sales. It is believed that the addition of the new table will cause a loss of 250 tables per year of the oak tables the company produces. These tables sell for \(\$ 4,500\) and have variable costs of 40 percent of sales. The inventory for this oak table is also 10 percent of sales. J. Smythe currently has excess production capacity. If the company buys the necessary equipment today, it will cost \(\$ 16\) million. However, the excess production capacity means the company can produce the new table without buying the new equipment. The company controller has said that the current excess capacity will end in two years with current production. This means that if the company uses the current excess capacity for the new table, it will be forced to spend the \(\$ 16\) million in two years to accommodate the increased sales of its current products. In five years, the new equipment will have a market value of \(\$ 3.1\) million if purchased today, and \(\$ 7.4\) million if purchased in two years. The equipment is depreciated on a seven-year MACRS schedule. The company has a tax rate of 40 percent, and the required return for the project is 14 percent. 1\. Should J. Smythe undertake the new project? 2\. Can you perform an IRR analysis on this project? How many IRRs would you expect to find? 3\. How would you interpret the profitability index?

Calculating Required Savings A proposed cost-saving device has an installed cost of \(\mathbf{\$ 5 4 0 , 0 0 0}\). The device will be used in a five-year project but is classified as three-year MACRS property for tax purposes. The required initial net working capital investment is \(\$ 45,000\), the marginal tax rate is 35 percent, and the project discount rate is 12 percent. The device has an estimated year 5 salvage value of \(\$ 50,000\). What level of pretax cost savings do we require for this project to be profitable?

Calculating Project NPV Raphael Restaurant is considering the purchase of a \(\$ \mathbf{1 2 , 0 0 0}\) soufflé maker. The soufflé maker has an economic life of five years and will be fully depreciated by the straight-line method. The machine will produce 1,900 soufflés per year, with each costing \(\$ 2.20\) to make and priced at \$5. Assume that the discount rate is 14 percent and the tax rate is 34 percent. Should Raphael make the purchase?

Project Analysis Benson Enterprises is evaluating alternative uses for a three-story manufacturing and warehousing building that it has purchased for \(\$ 850,000\). The company can continue to rent the building to the present occupants for \(\$ 36,000\) per year. The present occupants have indicated an interest in staying in the building for at least another 15 years. Alternatively, the company could modify the existing structure to use for its own manufacturing and warehousing needs. Benson's production engineer feels the building could be adapted to handle one of two new product lines. The cost and revenue data for the two product alternatives are as follows: The building will be used for only 15 years for either product \(A\) or product \(B\). After 15 years the building will be too small for efficient production of either product line. At that time, Benson plans to rent the building to firms similar to the current occupants. To rent the building again, Benson will need to restore the building to its present layout. The estimated cash cost of restoring the building if product \(A\) has been undertaken is \(\$ \mathbf{2 9}, 000\). If product \(B\) has been manufactured, the cash cost will be \(\$ 35,000\). These cash costs can be deducted for tax purposes in the year the expenditures occur. Benson will depreciate the original building shell (purchased for \(\$ \mathbf{8 5 0 , 0 0 0}\) ) over a 30 -year life to zero, regardless of which alternative it chooses. The building modifications and equipment purchases for either product are estimated to have a 15-year life. They will be depreciated by the straight-line method. The firm's tax rate is 34 percent, and its required rate of return on such investments is 12 percent. For simplicity, assume all cash flows occur at the end of the year. The initial outlays for modifications and equipment will occur today (year 0 ), and the restoration outlays will occur at the end of year 15. Benson has other profitable ongoing operations that are sufficient to cover any losses. Which use of the building would you recommend to management?

Equivalent Annual Cost Bridgton Golf Academy is evaluating different golf practice equipment. The "Dimple-Max" equipment costs \(\$ 63,000\), has a three- year life, and costs \(\$ 7,500\) per year to operate. The relevant discount rate is 12 percent. Assume that the straight-line depreciation method is used and that the equipment is fully depreciated to zero. Furthermore, assume the equipment has a salvage value of \(\$ 15,000\) at the end of the project's life. The relevant tax rate is 34 percent. All cash flows occur at the end of the year. What is the equivalent annual cost (EAC) of this equipment?

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