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Cost Comparisons of Alternative Proposals

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    Minimum Asset Life to Justify

    A Higher Investment

    By:Analyn M. Catapang

    MSEE major in Computer Engineering

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    CONTENT: Definition of asset

    Classification of asset

    Comparing Alternatives

    Compounding-Interest Table

    Sample Problem

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    What is asset?Are economic resources.

    Anything tangible or intangible that is capable of being

    owned or controlled to produce value and that is held to

    have positive economic value.

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    Classification of AssetThe principal distinction normally made for businesspurposes is between:

    Fixed assetsex. Debtors, stock, cash and work in progress

    Current assetsex. Land, buildings, machinery etc

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    How to present a winning justification

    for new and replacement equipment

    From time to time it becomes clear that an item of

    equipment is expensive to maintain and it would becheaper to replace it. To get money for the change it is

    necessary to justify the expenditure and prove that

    replacement is better decision than keeping the existing

    item.

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    Comparing Alternatives: Determine the annual cost of an asset.

    The general method of computing annual costs can beused for any number of industrial or commercial assetsregardless of whether they are stationary, moving, or

    water or air-borne.

    The key fact is that accurate cost are required if theannual cost comparison is to have validity.

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    Comparing Alternatives: Determine the minimum asset life.

    Upon computing the annual cost together with the otherexpenses such as maintenance cost, interest rate, andthe capital-recovery factor results will be used for thecomputation of the minimum asset life.

    Used the Compounding-interest table depending uponthe percentage of interest rate used.

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    Compound-Interest Table

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    Sample problemThe timber floor of a bridge is to be replaced and

    consideration is being given to, treating the timber to

    prolong its life and reduce maintenance costs. Anuntreated timber floor costs $5000 and has an annual

    maintenance cost of $500 and a life of 10 years. A treated

    timber floor costs $8500 and has an annual maintenance

    cost of $300. How long should the treated timber last tomake it more economical than the untreated timber?

    Use an interest rate of 5 percent.

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    Compute the annual cost of the untreated timber

    floor:Given:

    Initial cost (P) = $5000

    Maintenance cost (M) = $500

    Interest rate (i) = 5%

    Useful Life (N) = 10

    Capital-recovery factor (CR) = 0.12950

    Solve for A:

    Formula: A = P(CR) + M

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    A = P(CR) + M

    A = $5000 (0.12950) + $500

    A = $1147.50

    The annual cost of the untreated timber floor is:

    $1147.50

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    Setup an expression for the annualcost of the treated timber floor:

    A = $8500 (CR) + $300

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    Compute the minimum life required tojustify treating the timber:

    Equate the annual cost:

    $8500 (CR) + $300 = $1147.50 From the given equation compute the value of CR:

    $8500 (CR) = $1147.50 - $300

    CR = $847.5 / $8500

    CR = 0.099706

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    Interpolation Method Interpolating in the compound-interest

    table for 5 percent, we find N is within the

    range of 14 to 15 years. If we undergo theactual computation of interpolation theactual answer is 14.3 years.

    The life of the treated timber floor mustexceed 14.3 years to make it moreeconomical.

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    References:Handbook of Civil Engineering Calculations thru Web

    Mechanical Engineering Board Reviewer in Engineering

    Economics by Ricardo C. Asin

    Engineering Economy 2nd Edition

    by Hipolito B. Sta Maria

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    ThankYou!


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