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4 November, 02:24

You have just completed the appraisal of an office building and have concluded that the market value of the property is $2,500,000. You expect Potential Gross Income (PGI) in the first year of operations to be $450,000; vacancy and collection losses to be 9 percent of PGI; operating expenses to be 38 percent of Effective Gross Income (AGI), and capital expenditures to be 4 percent of EGI. What is the implied going-in capitalization rate

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  1. 4 November, 03:14
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    The implied going-in capitalization rate is 0.10155 = 10.155%

    Explanation:

    Given:

    Potential Gross Income (PGI) = $450,000

    The vacancy and collection losses is 9% of PGI = 9/100 * $450,000 = $40500

    Acquisition price = $2,500,000

    To calculate the Effective gross income (EGI), we use the formula:

    Effective gross income (EGI) = Potential Gross Income (PGI) - vacancy and collection losses

    ∴ Effective gross income (EGI) = $450000 - $40500 = $409500.

    Also to calculate the Net operating income (NOI), we use the equation:

    Net operating income (NOI) = Effective gross income (EGI) - Operating expenses (OE)

    But Operating expenses (OE) is 38% of Effective Gross Income (AGI)

    ∴ Operating expenses (OE) = 38/100 * $409500 = $155610

    Net operating income (NOI) = $409500 - $155610 = $253890

    The overall capitalization rate (R₀) = (Net operating income (NOI)) : (Acquisition price)

    R₀ = $253890 : $2500000 = 0.10155 = 10.155%
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