Exam 7: Replacement Decisions
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?

D
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%.
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.
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.
In order to make a replacement decision when the defender and the challenger are identical, one should assume that
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
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?
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 economic life of the following asset, given that its purchase price is
and the MARR = 10%? 


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%.
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?
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%.
Define the concept of the economic life of an asset and describe the circumstances under which the concept is applied to replacement decisions.
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?
If a challenger is different from the defender, and the challenger does not repeat, replacement decision should be based on
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?
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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