Friday, December 17, 2010

Cash Flow After Tax (CFAT) and Equity Reversion After Taxes (ERAT)

Cash Flow After Tax (CFAT) = NOI - Debt service - Income tax payable

  • Borrowed money face value = $40,000,000 * 80% = $32,000,000
  • Interest rate = 7%
  • Interest payment per year for interest only loan = $32,000,000 * 7% = $2,240,000
  • Depreciation per year = $1,250,000
  • Annual growth rate of NOI = 5%

Cash Flow After Tax (CFAT)
Tax
Year
1
2
3
4
5
NOI
$4,200,000
(*6)
$4,410,000
(*11) $4,630,500
(*16) $4,862,025
(*21) $5,105,126.25
Depreciation
$1,250,000
$1,250,000
$1,250,000
$1,250,000
$1,250,000
Interest
expense
(*1)
$2,240,000
$2,240,000
$2,240,000
$2,240,000
$2,240,000
Taxable
income
(*2)
$710,000
(*7)
$920,000
(*12)  $1,140,500
(*17) $1,372,025
(*22) $1,615,126.25
Tax rate
(*26)
0.40
0.40
0.40
0.40
0.40
Income tax payable
(*3)
$284,000
(*8)
$368,000
(*13)
$456,200
(*18)
$548,810
(*23)
$646,050.5
CFAT
NOI
$4,200,000
(*6)
$4,410,000
(*11) $4,630,500
(*16) $4,862,025
(*21) $5,105,126.25
Debt service
$2,240,000
$2,240,000
$2,240,000
$2,240,000
$2,240,000
Pretax
cash flow
(*4)
$1,960,000
(*9)
$2,170,000
(*14) $2,390,500
(*19) $2,622,025
(*24)  $2,865,126.25
Income tax payable
(*3)
$284,000
(*8)
$368,000
(*13)
$456,200
(*18)
$548,810
(*23)
$646,050.5
Cash flow
after tax
(*5)
$1,676,000
(*10) $1,802,000
(*15) $1,934,300
(*20) $2,073,215
(*25) $2,219,075.75
NOI: Net operating income


(*1) $32,000,000 * 7% = $2,240,000
(*2) $4,200,000 - $1,250,000 - $2,240,000 = $710,000
(*3) $710,000 * 0.40 = $284,000
(*4) $4,200,000 - $2,240,000 = $1,960,000
(*5) $1,960,000 - $284,000 = $1,676,000

(*6) $4,200,000 * (1+5%)^1 = $4,410,000
(*7) $4,410,000 - $1,250,000 - $2,240,000 = $920,000
(*8) $920,000 * 0.40 = $368,000
(*9) $4,410,000 - $2,240,000 = $2,170,000
(*10) $2,170,000 - $368,000 = $1,802,000

(*11) $4,200,000 * (1+5%)^2 = $4,630,500
(*12) $4,630,500 - $1,250,000 - $2,240,000 = $1,140,500
(*13) $1,140,500 * 0.40 = $456,200
(*14) $4,630,500 - $2,240,000 = $2,390,500
(*15) $2,390,500 - $456,200 = $1,934,300

(*16) $4,200,000 * (1+5%)^3 = $4,862,025
(*17) $4,862,025 - $1,250,000 - $2,240,000 = $1,372,025
(*18) $1,372,025 * 0.40 = $548,810
(*19) $4,862,025 - $2,240,000 = $2,622,025
(*20) $2,622,025 - $548,810 = $2,073,215

(*21) $4,200,000 * (1+5%)^4 = $5,105,126.25
(*22) $5,105,126.25 - $1,250,000 - $2,240,000 = $1,615,126.25
(*23) $1,615,126.25 * 0.40 = $646,050.5
(*24) $5,105,126.25 - $2,240,000 = $2,865,126.25
(*25) $2,865,126.25 - $646,050.5 = $2,219,075.75

(*26) Tax rate on ordinary income


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

Selling price (net of expense) = 45,000,000*(1-7%) = 41,850,000
Mortgage balance outstanding = 40,000,000*80% = 32,000,000
Capital gains tax = 15%
Tax on recaptured depreciation = 28%
Tax rate on ordinary income = 40%

Equity reversion after taxes (ERAT)
= net selling price - mortgage balance - taxes
= 41,850,000 - 32,000,000 - (1,250,000*5*28% + (41,850,000-40,000,000)*15%)
= 41,850,000 - 32,000,000 - (1,750,000 + 277,500)
= 7,822,500

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