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答案和详解如下:

1A property was purchased for $550,000 and sold after six years for $850,000. Costs associated with the sale were $65,000 and the tax depreciation in each year was $20,000. At the time of the sale, $320,000 remained outstanding on the mortgage. The tax rate on recaptured depreciation is 28 percent and the long-term capital gains tax rate is 20 percent. The equity reversion after taxes for this property is closest to:

A)   $384,400.

B)   $365,600.

C)   $449,400.

D)   $569,200.

The correct answer was A)

Equity reversion after taxes (ERAT) = net selling price – mortgage balance – taxes.

First, compute taxes.

Recaptured depreciation = 6 x $20,000 = $120,000

Tax on recaptured depreciation = $120,000 ´ 0.28 = $33,600

Total gain on sale = net selling price – adjusted basis

Net selling price = sales price – cost of sale= $850,000 - 65,000 = $785,000

Adjusted basis = cost - accumulated depreciatio n= $550,000 - 120,000 = $430,000

Total gain = $785,000 - 430,000 = $355,000.

long-term capital gains tax

= capital gains tax rate x (total gain - recaptured depreciation) = 0.20 x (355,000 – 120,000) = 0.20 x 235,000 = $47,000

Total taxes payable

= tax on recaptured depreciation + tax on long-term capital gains = $33,600 + $47,000 = $80,600

ERAT = net selling price – mortgage balance – taxes = 785,000 - 320,000 - 80,600 = $384,400

2.Suppose you are evaluating an investment opportunity in an office building for which you have estimated the following financial characteristics:

§ First year net operating income (NOI) = $75,000.

§ Growth rate in net operating income = 5 percent per year.

§ Tax depreciation = $10,000 per year.

§ Annual interest expense = $9,000.

§ Annual total debt service expense = $12,000.

§ Equity investors marginal income tax rate = 36 percent.

§ Investment horizon = four years.

The cash flows after taxes for years one and four are closest to:

A)   CFAT1 = $51,480 and CFAT4 = $50,766.

B)   CFAT1 = $42,840 and CFAT4 = $50,406.

C)   CFAT1 = $40,600 and CFAT4 = $47,693.

D)   CFAT = $42,840 and CFAT4 = $47,760.

The correct answer was B)    

Taxes Payable Computation:

 

 

 

 

 

Year-1

Year-2

Year-3

Year-4

NOI (g = 5%)

$75,000

$78,750

$82,688

$86,822

Less depreciation

(10,000)

(10,000)

(10,000)

(10,000)

Less interest

(9,000)

(9,000)

(9,000)

(9,000)

Taxable income

$56,000

$59,750

$63,688

$67,822

times tax rate

0.36

0.36

0.36

0.36

Income taxes payable

$20,160

$21,510

$22,928

$24,416

 

 

 

 

 

CFATt Computation:

 

 

 

 

 

Year-1

Year-2

Year-3

Year-3

NOI (g = 5%)

$75,000

$78,750

$82,688

$86,822

Less debt service

(12,000)

(12,000)

(12,000)

(12,000)

Before tax cash flow

$63,000

$66,750

$70,688

$74,822

Less taxes payable

(20,160)

(21,510)

(22,928)

(24,416)

CFAT

$42,840

$45,240

$47,760

$50,406

TOP

Reading 51: Investment Analysis - LOS c ~ Q1-2

1A property was purchased for $550,000 and sold after six years for $850,000. Costs associated with the sale were $65,000 and the tax depreciation in each year was $20,000. At the time of the sale, $320,000 remained outstanding on the mortgage. The tax rate on recaptured depreciation is 28 percent and the long-term capital gains tax rate is 20 percent. The equity reversion after taxes for this property is closest to:

A)   $384,400.

B)   $365,600.

C)   $449,400.

D)   $569,200.

2.Suppose you are evaluating an investment opportunity in an office building for which you have estimated the following financial characteristics:

§ First year net operating income (NOI) = $75,000.

§ Growth rate in net operating income = 5 percent per year.

§ Tax depreciation = $10,000 per year.

§ Annual interest expense = $9,000.

§ Annual total debt service expense = $12,000.

§ Equity investors marginal income tax rate = 36 percent.

§ Investment horizon = four years.

The cash flows after taxes for years one and four are closest to:

A)   CFAT1 = $51,480 and CFAT4 = $50,766.

B)   CFAT1 = $42,840 and CFAT4 = $50,406.

C)   CFAT1 = $40,600 and CFAT4 = $47,693.

D)   CFAT = $42,840 and CFAT4 = $47,760.

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