Question

The management of Custom Metalworks is evaluating a proposal to purchase a new turning lathe as a replacement for a less efficient piece of similar equipment that would then be sold. The cost of the new lathe including delivery and installation is $$\$ 700,000$$. If the equipment is purchased, Custom Metalworks will incur $$\$ 20,000$$ of costs in removing the present equipment and revamping service facilities. The present equipment has a book value of $$\$ 400,000$$ and a remaining useful life of 10 years. Due to new technical improvements that have made the equipment outmoded, it presently has a resale value of only $$\$ 160,000$$. Management has provided you with the following comparative manufacturing cost tabulation: $$ \begin{array}{lrr} & \text { Present Equipment } & \text { New Equipment } \\ \hline \text { Annual production in units } & 400,000 & 500,000 \\ \text { Cash revenue from each unit } & \$ 1.20 & \$ 1.20 \\ \text { Annual costs: } & & \\ \quad \text { Labor } & \$ 120,000 & \$ 100,000 \\ \text { Depreciation (10\% of asset book value or cost) } & 40,000 & 70,000 \\ \text { Other cash operating costs } & 192,000 & 80,000 \end{array} $$ Management believes that if the equipment is not replaced now, the company must wait seven years before replacement is justified. The company uses a 12 percent discount or hurdle rate in evaluating capital projects and expects all capital project investments to recoup their costs within five years. Both pieces of equipment are expected to have a negligible salvage value at the end of 10 years. a. Determine the net present value of the new equipment (ignore tax). b. Determine the internal rate of return on the new equipment (ignore tax). c. Determine the payback period for the new equipment (ignore tax). d. Determine the accounting rate of return for the new equipment (ignore tax). e. Determine whether the company should keep the present equipment or purchase the new lathe.

   The management of Custom Metalworks is evaluating a proposal to purchase a new turning lathe as a replacement for a less efficient piece of similar equipment that would then be sold. The cost of the new lathe including delivery and installation is $$\$ 700,000$$. If the equipment is purchased, Custom Metalworks will incur $$\$ 20,000$$ of costs in removing the present equipment and revamping service facilities. The present equipment has a book value of $$\$ 400,000$$ and a remaining useful life of 10 years. Due to new technical improvements that have made the equipment outmoded, it presently has a resale value of only $$\$ 160,000$$.
Management has provided you with the following comparative manufacturing cost tabulation:
$$
\begin{array}{lrr}
& \text { Present Equipment } & \text { New Equipment } \\
\hline \text { Annual production in units } & 400,000 & 500,000 \\
\text { Cash revenue from each unit } & \$ 1.20 & \$ 1.20 \\
\text { Annual costs: } & & \\
\quad \text { Labor } & \$ 120,000 & \$ 100,000 \\
\text { Depreciation (10\% of asset book value or cost) } & 40,000 & 70,000 \\
\text { Other cash operating costs } & 192,000 & 80,000
\end{array}
$$
Management believes that if the equipment is not replaced now, the company must wait seven years before replacement is justified. The company uses a 12 percent discount or hurdle rate in evaluating capital projects and expects all capital project investments to recoup their costs within five years.
Both pieces of equipment are expected to have a negligible salvage value at the end of 10 years.
a. Determine the net present value of the new equipment (ignore tax).
b. Determine the internal rate of return on the new equipment (ignore tax).
c. Determine the payback period for the new equipment (ignore tax).
d. Determine the accounting rate of return for the new equipment (ignore tax).
e. Determine whether the company should keep the present equipment or purchase the new lathe.
Show more…
Cost Accounting: Traditions and Innovations
Cost Accounting: Traditions and Innovations
Jesse T. Barfield,… 4th Edition
Chapter 14, Problem 72 ↓

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The initial investment includes the cost of the new lathe, the costs of removing the old equipment, and the revamping service facilities, minus the resale value of the present equipment. \[ \text{Initial Investment} = \$700,000 + \$20,000 - \$160,000 = \$560,000  Show more…

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The management of Custom Metalworks is evaluating a proposal to purchase a new turning lathe as a replacement for a less efficient piece of similar equipment that would then be sold. The cost of the new lathe including delivery and installation is $$\$ 700,000$$. If the equipment is purchased, Custom Metalworks will incur $$\$ 20,000$$ of costs in removing the present equipment and revamping service facilities. The present equipment has a book value of $$\$ 400,000$$ and a remaining useful life of 10 years. Due to new technical improvements that have made the equipment outmoded, it presently has a resale value of only $$\$ 160,000$$. Management has provided you with the following comparative manufacturing cost tabulation: $$ \begin{array}{lrr} & \text { Present Equipment } & \text { New Equipment } \\ \hline \text { Annual production in units } & 400,000 & 500,000 \\ \text { Cash revenue from each unit } & \$ 1.20 & \$ 1.20 \\ \text { Annual costs: } & & \\ \quad \text { Labor } & \$ 120,000 & \$ 100,000 \\ \text { Depreciation (10\% of asset book value or cost) } & 40,000 & 70,000 \\ \text { Other cash operating costs } & 192,000 & 80,000 \end{array} $$ Management believes that if the equipment is not replaced now, the company must wait seven years before replacement is justified. The company uses a 12 percent discount or hurdle rate in evaluating capital projects and expects all capital project investments to recoup their costs within five years. Both pieces of equipment are expected to have a negligible salvage value at the end of 10 years. a. Determine the net present value of the new equipment (ignore tax). b. Determine the internal rate of return on the new equipment (ignore tax). c. Determine the payback period for the new equipment (ignore tax). d. Determine the accounting rate of return for the new equipment (ignore tax). e. Determine whether the company should keep the present equipment or purchase the new lathe.
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Key Concepts

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Net Present Value (NPV)
Net Present Value is a financial metric that calculates the difference between the present value of cash inflows and outflows over a project's life, taking the time value of money into account. It helps determine whether an investment will generate a return above the required hurdle rate, making it a cornerstone in capital budgeting decisions.
Internal Rate of Return (IRR)
The Internal Rate of Return is the discount rate at which the net present value of all cash flows from an investment equals zero. It is used to evaluate the attractiveness of a project by comparing the IRR to the required minimum return, offering insight into the project's efficiency and profitability.
Payback Period
The Payback Period is the length of time required for an investment to generate sufficient cash flow to recover its initial cost. It is a simple measure of investment risk and liquidity, focusing on cash flow timing but not accounting for the time value of money.
Accounting Rate of Return (ARR)
The Accounting Rate of Return calculates the return generated on an investment based on accounting information, typically using average annual profit relative to the initial investment cost. Although it does not consider the timing of cash flows or the time value of money, ARR is useful for comparing profitability on a straightforward basis.
Capital Budgeting
Capital Budgeting is the process of planning and managing a firm's long-term investments, focusing on expenditures that will generate future cash flows. This process involves evaluating various financial metrics such as NPV, IRR, payback period, and ARR to determine the most viable projects while considering risks and alignment with strategic goals.

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XYZ Limited has Lathe that was purchased 10 years ago at a cost of $750, 000 The lathe was used .for trimming molded plastics. The machine had an expected life of 15 years at the time it was purchased. The management believed that time the salvage value would be zero at the end of the 15 years. The machine has been depreciated on a straight line basis; therefore its annual depreciation charge is $50, 000 and its present book value is $250,000/= (750,000- 10(50,000) xyz is considering the purchase of a new special purpose machine to replace the Lathe. The new machine which can be purchased for $1,200,000 (including shipping and installation) will reduce labor and raw materials usage sufficiently to cut annual operating costs from $800, 000 to $450, 000. The reduction in cost will cause the before tax profits to rise by 800,000-450,000=350,000 per year. It is estimated that new machine will have a useful life of 5 years after which it can be sold for $200, 000. The old machine's actual current market value is $100,000 which is below the book value of 250,000 If the new machine is acquired the old Lathe will be sold to another Company rather than exchanged for a new machine. Net working capital requirements is $100, 000. If the lathe is replaced by the new machine this increase will occur at the time of replacement. The projects rate of Return is 15% Required 1. Should replacement take place? (20 Marks) Note : Depreciation is allowed for tax purposes The company tax rate is 40%

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