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An investor purchases a property for $1,000,000, financing 92% of the purchase price. He plans to sell the property four years later for $1,200,000. The expected net cash flows for the investment are as follows:

Year 1      $23,450
Year 2      $25,312
Year 3      $27,879
Year 4 (net of mortgage payoff)      $261,450

Assuming a 9% cost of equity, the net present value (NPV) of the cash flows at the time the property is purchased is:

A)
$338,091.
B)
$249,564.
C)
$169,564.



The present value of the cash flows is: $23,450 / 1.09 + $25,312 / 1.092 + $27,879 / 1.093 + 261,450 / 1.094 = $249,563.83. The NPV is the present value of the cash flows minus the initial investment: $249,564 – $80,000 = $169,564.

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An investor purchases an office building for $2,500,000. He puts 10 percent down and finances the remainder at a 9 percent rate of interest. Calculate the first year’s after-tax cash flow for the investment using the following information:

NOI      $243,000
Depreciation      $25,000
Annual mortgage payment      $218,000
Marginal income tax rate      28%

A)
$11,160.
B)
$18,000.
C)
$20,660.



The first year’s interest payment is the amount borrowed ($2,250,000) times the rate of interest (9%), which equals $202,500. After-tax net income, which is NOI minus depreciation minus interest, net of taxes, is ($243,000 - $25,000 - $202,500) × (1 - 0.28) = $11,160. After-tax cash flow is after-tax net income, plus depreciation and minus the principal component of the mortgage payment ($218,000-$202,500): $11,160 + $25,000 - $15,500 = $20,660.

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感谢!

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 thanks

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