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20 February, 01:57

Consider a firm with a contract to sell an asset for $138,000 five years from now. the asset costs $74,000 to produce today. given a relevant discount rate on this asset of 12 percent per year, calculate the profit the firm will make on this asset.

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  1. 20 February, 02:24
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    The cost to produce today = 74000

    At a discount of 12%, the future value of costs in 5 years = PV * (1+r) ^n where PV = 74000, r = 12% = 0.12 and n = 5 years = 5

    The value of costs in 5 years = 74000 * (1+0.12) ^5

    The value of costs in 5 years = 74000*1.12^5

    The value of costs in 5 years 130,413.28

    Price in 5 years = 138,000

    Profit = 138,000-130,413.28 = 7,586.72

    The profit the firm will make on this asset (considering time value of money) = $7,586.72
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