On January 1, 2021, X Company bought a machine for $40,000. It's now January 1, 2022, and management is disappointed that 2021 operating costs with the machine were $33,000. Since they are expecting future operating costs to continue to be $33,000 a year, they are considering replacing the machine with a new one. Although the new machine will cost $47,000, operating costs with the new machine will decrease by $9,000 each year. Both machines will last for 6 more years. The current machine can be sold immediately for $10,000 but will have no salvage value at the end of 6 years. The new machine will have a salvage value of $4,500 at the end of 6 years. Assuming a discount rate of 8%, what is the net present value of replacing the current machine with the new one?
On January 1, 2021, X Company bought a machine for $40,000. It's now January 1, 2022, and management is disappointed that 2021 operating costs with the machine were $33,000. Since they are expecting future operating costs to continue to be $33,000 a year, they are considering replacing the machine with a new one. Although the new machine will cost $47,000, operating costs with the new machine will decrease by $9,000 each year. Both machines will last for 6 more years. The current machine can be sold immediately for $10,000 but will have no salvage value at the end of 6 years. The new machine will have a salvage value of $4,500 at the end of 6 years. Assuming a discount rate of 8%, what is the net present value of replacing the current machine with the new one?
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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![On January 1, 2021, X Company bought a machine for $40,000. It's now January 1, 2022, and
management is disappointed that 2021 operating costs with the machine were $33,000. Since they are
expecting future operating costs to continue to be $33,000 a year, they are considering replacing the
machine with a new one. Although the new machine will cost $47,000, operating costs with the new
machine will decrease by $9,000 each year. Both machines will last for 6 more years. The current
machine can be sold immediately for $10,000 but will have no salvage value at the end of 6 years. The
new machine will have a salvage value of $4,500 at the end of 6 years.
Assuming a discount rate of 8%, what is the net present value of replacing the current machine with
the new one?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F431bc48d-6ce1-479d-a96c-3c4c1d8d7003%2F11541e77-cb3f-44e7-a733-63debf2f499d%2Fgadf2ie_processed.jpeg&w=3840&q=75)
Transcribed Image Text:On January 1, 2021, X Company bought a machine for $40,000. It's now January 1, 2022, and
management is disappointed that 2021 operating costs with the machine were $33,000. Since they are
expecting future operating costs to continue to be $33,000 a year, they are considering replacing the
machine with a new one. Although the new machine will cost $47,000, operating costs with the new
machine will decrease by $9,000 each year. Both machines will last for 6 more years. The current
machine can be sold immediately for $10,000 but will have no salvage value at the end of 6 years. The
new machine will have a salvage value of $4,500 at the end of 6 years.
Assuming a discount rate of 8%, what is the net present value of replacing the current machine with
the new one?
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