Texas Instruments BA-20 Profit Manager User Manual - Page 89

Amortization, Cash Flow, places selected

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FV = -P----M-----T-----×-----G----i i - (1 + i)N × ⎛ ⎝ PV + P-----M-----T--i---×-----G----i⎠⎞ where: i ƒ0 FV = L(PV + PMT Q N) where: i =0 Amortization If computing bal(), pmt2 = npmt Let bal(0) = RND(PV) Iterate from m = 1 to pmt2 ⎧ Im = RND[RND12(-i × bal(m - 1))] ⎨⎩bal(m) = bal(m - 1) - Im + RND(PMT) then: bal( ) =bal(pmt2) GPrn( ) =bal(pmt2) N bal(pmt1) GInt( ) =(pmt2 N pmt1 +1) Q RND(PMT) N GPrn( ) where: RND =round the display to the number of decimal places selected RND12 =round to 12 decimal places Balance, principal, and interest are dependent on the values of PMT, PV, I/Y, and pmt1 and pmt2. Cash Flow ∑ NPV = CF0 + N CFj ( 1 + i - ) S j - 1 (---1 1-----+-----i--)-----n--j--) i j=1 ⎧j ∑ where: Sj = ⎪ ⎨ ni ⎪i = 1 ⎩0 j≥1 j=0 Appendix - Reference Information 85

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Appendix — Reference Information
85
where:
i
ƒ
0
FV
=
L
(
PV
+
PMT
Q
N
)
where:
i
=0
Amortization
If computing
bal
(),
pmt2
=
npmt
Let
bal
(0) =
RND
(
PV
)
Iterate from
m
= 1 to
pmt2
then:
bal( )
=
bal(pmt2)
G
Prn
( ) =
bal
(
pmt2
)
N
bal
(
pmt1
)
G
Int
( ) =(
pmt2
N
pmt1
+1)
Q
RND
(
PMT
)
N
G
Prn
( )
where:
RND
=round the display to the number of decimal
places selected
RND12
=round to 12 decimal places
Balance, principal, and interest are dependent on the values of
PMT
,
PV
,
I/Y
, and
pmt1
and
pmt2
.
Cash Flow
where:
FV
PMT
G
i
×
i
------------------------
1
i
+
(
)
N
–
PV
PMT
G
i
×
i
------------------------
+
⎝
⎠
⎛
⎞
×
=
I
m
RND RND
12
–
i
bal m
1
–
(
)
×
(
)
[
]
=
bal m
(
)
bal m
1
–
(
)
I
m
–
RND PMT
(
)
+
=
⎩
⎨
⎧
NPV
CF
0
CF
j
1
i
+
(
)
-
S
j
1
–
1
1
i
+
(
)
-
n
j
–
(
)
i
----------------------------------
j
1
=
N
∑
+
=
S
j
n
i
i
1
=
j
∑
j
1
≥
0
j
0
=
⎩
⎪
⎨
⎪
⎧
=