Exam 7: Replacement Decisions

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In order to make a replacement decision, a firm calculated the equivalent annual cost of owning an asset as follows: In order to make a replacement decision, a firm calculated the equivalent annual cost of owning an asset as follows:   When should the firm replace its equipment? When should the firm replace its equipment?

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A trucking company evaluates its fleet of vehicles. According to its balance sheet, a three-year-old van has the book value of $21 870. Currently its maintenance costs are $1 000 per year. They have increased by 20% annually and are expected to increase by the same percentage in the future. Calculate the equivalent annual costs for the first six years knowing that the van's purchase price was $30 000 and the minimum acceptable rate of return is 15%.

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First it is necessary to calculate the depreciation rate d as follows:
d = 1 - First it is necessary to calculate the depreciation rate d as follows: d = 1 -   = 0.1 or 10%. The economic life is associated with the minimum Equivalent Annual Cost (EAC). EAC is calculated in the following table:    Salvage value in year N = BV(N)= P(1 - d)N Annual maintenance cost AMC in year N = AMC(N)= AMC(1)× (1 + 0.2)N. And we know that the maintenance cost in year 1 was 1000/1.22 = $694 Equivalent Annual Cost (Operating)for a lifetime of N years is EAC(operating, N)=   × (A/P, i, N) Equivalent Annual Cost (Capital)in any given year N is EAC(capital, N)= (P - S)× (A/P, i, N)+ Si The Equivalent Annual Cost is EAC (N)= EAC(operating, N)+ EAC(capital, N) where BV is the book value, P is the purchase price, S is the salvage value and i is the MARR. From the table, the economic life of the van is at least 5 years. = 0.1 or 10%. The economic life is associated with the minimum Equivalent Annual Cost (EAC). EAC is calculated in the following table:
First it is necessary to calculate the depreciation rate d as follows: d = 1 -   = 0.1 or 10%. The economic life is associated with the minimum Equivalent Annual Cost (EAC). EAC is calculated in the following table:    Salvage value in year N = BV(N)= P(1 - d)N Annual maintenance cost AMC in year N = AMC(N)= AMC(1)× (1 + 0.2)N. And we know that the maintenance cost in year 1 was 1000/1.22 = $694 Equivalent Annual Cost (Operating)for a lifetime of N years is EAC(operating, N)=   × (A/P, i, N) Equivalent Annual Cost (Capital)in any given year N is EAC(capital, N)= (P - S)× (A/P, i, N)+ Si The Equivalent Annual Cost is EAC (N)= EAC(operating, N)+ EAC(capital, N) where BV is the book value, P is the purchase price, S is the salvage value and i is the MARR. From the table, the economic life of the van is at least 5 years. Salvage value in year N = BV(N)= P(1 - d)N
Annual maintenance cost AMC in year N = AMC(N)= AMC(1)× (1 + 0.2)N. And we know that the maintenance cost in year 1 was 1000/1.22 = $694
Equivalent Annual Cost (Operating)for a lifetime of N years is
EAC(operating, N)= First it is necessary to calculate the depreciation rate d as follows: d = 1 -   = 0.1 or 10%. The economic life is associated with the minimum Equivalent Annual Cost (EAC). EAC is calculated in the following table:    Salvage value in year N = BV(N)= P(1 - d)N Annual maintenance cost AMC in year N = AMC(N)= AMC(1)× (1 + 0.2)N. And we know that the maintenance cost in year 1 was 1000/1.22 = $694 Equivalent Annual Cost (Operating)for a lifetime of N years is EAC(operating, N)=   × (A/P, i, N) Equivalent Annual Cost (Capital)in any given year N is EAC(capital, N)= (P - S)× (A/P, i, N)+ Si The Equivalent Annual Cost is EAC (N)= EAC(operating, N)+ EAC(capital, N) where BV is the book value, P is the purchase price, S is the salvage value and i is the MARR. From the table, the economic life of the van is at least 5 years. × (A/P, i, N)
Equivalent Annual Cost (Capital)in any given year N is
EAC(capital, N)= (P - S)× (A/P, i, N)+ Si
The Equivalent Annual Cost is
EAC (N)= EAC(operating, N)+ EAC(capital, N)
where BV is the book value, P is the purchase price, S is the salvage value and i is the MARR.
From the table, the economic life of the van is at least 5 years.

Maintenance costs are mostly a part of

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OMON Consulting is evaluating different scenarios to replace its existing technological line to produce compact computer discs. A four-year time horizon is used in this evaluation. One challenger is available at present, and it is expected that a new technology will be available in two years. List all potential scenarios associated with this evaluation.

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In order to make a replacement decision when the defender and the challenger are identical, one should assume that

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The University has just invested $9 000 in a new desktop publishing system. From past experience, annual cash returns are estimated asA(t)= $8000 - $4000(1 + 0.15)t-1S(t)= $6000(1 - 0.3)twhere A(t)stands for the net cash flow in period t and S(t)stands for the salvage value at the end of year t, and t ≥ 1.If the MARR is 12%, compute the annual equivalent cost in year 2

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You are considering purchase of a new furnace. Its initial cost, including installation, is $3 000, and it will cost $200 a year in fuel over its 10-year life. You expect that it can then be sold for $300. If your MARR is 10%, what is the equivalent annual cost of owning the furnace?

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This table gives the data relevant to a replacement decision: This table gives the data relevant to a replacement decision:   What is the Salvage Value in year 4 at the MARR of 10%? What is the Salvage Value in year 4 at the MARR of 10%?

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What is the economic life of the following asset, given that its purchase price is What is the economic life of the following asset, given that its purchase price is   and the MARR = 10%?  and the MARR = 10%? What is the economic life of the following asset, given that its purchase price is   and the MARR = 10%?

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Suppose that operating costs associated with the 5-year service life of an asset start with $1 000 in the first year increasing by $500 thereafter. Calculate the EAC(Operating)if annual rate is 10%.

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An asset has an initial cost of $10 000. Its maintenance costs are $300 in the first year, and go up by 20% per year thereafter. Its salvage value declines by straight-line depreciation over ten years. If your MARR is 10%, what is its economic life?

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A new laptop has just come onto the market that you estimate will have an equivalent annual cost of $500. You could sell your current laptop right away for $1 000, or you could spend $500 on an upgrade. At the end of this year, after the upgrade, it will have a resale value of $800, going down by $200 a year. Once its salvage value reaches zero, its physical life is over. If both laptops provide equivalent functionality, when should you replace your current laptop? Your MARR is 5%.

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Define the concept of the economic life of an asset and describe the circumstances under which the concept is applied to replacement decisions.

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Which of the following can be called the defender?

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A Tata costs $10 000, its salvage value declines by straight-line depreciation of $1 250 per year, and its maintenance costs are $100 in the first year and go up by 50% a year. Raj and Rashid both like to drive Tata's. Raj trades her car in for a new model when it reaches its economic life, whereas Rashid keeps his until it reaches the end of its physical life. Raj and Rashid both have MARRs of 5%. How much more does Rashid pay for his Tata per year, on average, than Raj?

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What are the two conditions behind the One Year Principle?

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If a challenger is different from the defender, and the challenger does not repeat, replacement decision should be based on

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When making a replacement decision

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A stamping machine currently has a salvage value of $10 000, and this will drop by 20% per year from now on. Its expected maintenance costs are $1 000 for this year, but in the following year it is expected to need a major overhaul, costing $3 500. In the year following the overhaul, its maintenance costs will be $500, and these will then go up by 30% per year. Your MARR is 10%. There is a challenger available that will do the same job for an EAC of $3 400. When should you replace the old machine?

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A company bought and installed an assembly line for $5 million and $0.5 million respectively. The company plans to use this assembly line for 8 years and then sell it for $100 000. Calculate the equivalent annual capital costs of the assembly line if the capital recovery factor is 0.1874, and MARR is 10% for the capital investment.

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