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22 April, 16:01

You are considering two home security companies for your new house. The first company offers free installation and equipment, but will charge you $570.00 per year forever. The second company charges $851.00 for installation, but will charge you $229.00 per year forever. Assume that payments are at the END of the year. Your personal interest rate is 4.00% per year, and you want to evaluate each proposal.

What is the present value (PV) of the free installation? What is the PV of the paid installation?

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  1. 22 April, 16:16
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    Present value (PV) of the free installation = $ 548

    PV of the paid installation = $ 1,071

    Explanation:

    Formula of PV = FV / (1 + i) ^ n

    where,

    FV = Future Value

    i = Discount Rate

    n = No. of Years
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