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30 December, 21:52

customers. The DVD player cost $500, and you depreciate the machine at a rate of 25% each year. You can borrow money from the bank at 10%, or receive 6% for depositing money at the bank. The expected inflation rate in the coming year is 5%. You used the company's own funds to purchase the DVD player. The firm's user cost of capital for the first year is $130. $150. $155. $175.

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  1. 30 December, 22:05
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    User cost of capital = $130

    so correct option is $130

    Explanation:

    given data

    DVD player cost = $500

    Depreciation = 25%

    interest rate = 6%

    Expected inflation rate = 5%

    solution

    we find here first Expected real interest rate that is express as

    Expected real interest rate = Deposit rate - Expected inflation rate

    Expected real interest rate = 6% - 5%

    Expected real interest rate = 1%

    and

    now Calculate the foregone interest that is

    Foregone interest = DVD player cost * Expected real interest rate

    Foregone interest = $500 * 0.01

    Foregone interest = $5

    and

    now find the depreciation that is

    Depreciation = Cost of DVD player * Depreciation rate

    Depreciation = $500 * 0.25

    Depreciation = $125

    so user cost of capital will be here

    User cost of capital = Foregone interest + Depreciation

    User cost of capital = $5 + $125

    User cost of capital = $130

    so correct option is $130
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