HP 12C#ABA hp 12c_solutions handbook_English_E.pdf - Page 151

Appendix, Real Estate

Page 151 highlights

Appendix Real Estate Wrap-Around Mortgage • n1 = number of years remaining in original mortgage. • PMT1 = yearly payment of original mortgage. • PV1 = remaining balance of original mortgage. • n2 = number of years in wrap-around mortgage. • PMT2 = yearly payment of wrap-around mortgage. • r = interest rate of wrap-around mortgage as a decimal. • FV = balloon payment. • PV2 - PV1 = -P----M-----T----2---[--1 1-----+-----r---)-----n---2---]r - P-----M-----T----1---[--1 1-----+-----r---)-----n---1---]r + F V ( 1 + r )-n 2 After-Tax Cash Flows • ATCFk = After-Tax Cash Flow for kth year. • Intk = interest for kth year. • Depk = depreciation for kth year. • r = appropriate tax rate. • NOI = Net Operating Income. • ATCFk = NOI (1 - r) - 12 x PMT + r x (Intk + Depk). After-Tax Net Cash Proceeds of Resale • CO = capital purchase. • CPR = sales price - closing costs. • r = marginal tax rate. • NCPR = CPR - remaining balance of mortgage. • ATNCPR = NCPR + r x [(.6 SL Dep. - Total Dep) + .4 x (CO - CPR)] 150

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150
Appendix
Real Estate
Wrap-Around Mortgage
n
1
= number of years remaining in original mortgage.
PMT
1
= yearly payment of original mortgage.
PV
1
= remaining balance of original mortgage.
n
2
= number of years in wrap-around mortgage.
PMT
2
= yearly payment of wrap-around mortgage.
r
= interest rate of wrap-around mortgage as a decimal.
FV
= balloon payment.
After-Tax Cash Flows
ATCF
k
= After-Tax Cash Flow for
k
th year.
Int
k
= interest for
k
th year.
Dep
k
= depreciation for
k
th year.
r
= appropriate tax rate.
NOI
= Net Operating Income.
ATCF
k
=
NOI
(1 - r) - 12
x
PMT
+
r
x
(
Int
k
+
Dep
k
).
After-Tax Net Cash Proceeds of Resale
CO
= capital purchase.
CPR
= sales price - closing costs.
r
= marginal tax rate.
NCPR
=
CPR
- remaining balance of mortgage.
ATNCPR
=
NCPR
+
r
x [(.6 SL Dep. - Total Dep) + .4 x (
CO
-
CPR
)]
PV
2
PV
1
PMT
2
1
1
r
+
(
)
n2
[
]
r
-------------------------------------------------------
PMT
1
1
1
r
+
(
)
n1
[
]
r
-------------------------------------------------------
FV 1
r
+
(
)
n2
+
=