Financial Formulas - Texas Instruments TI-84 Plus Manual Book

Financial Formulas

This section contains financial formulas for computing time value of
money, amortization, cash flow, interest-rate conversions, and days
between dates.
Time Value of Money
( ×
y ln
[
i = e
ƒ
where: PMT
=
y
=
x
=
C/Y
=
P/Y
=
I%
(
– FV PV
i =
where: PMT = 0
The iteration used to compute i:
0 = PV +
I% = 100 C Y
where: x = i
= P/Y ÷ C/Y
y
G = 1 + i k
i
where: k = 0 for end-of-period payments
= 1 for beginning-of-period payments
k
PMT G
⎛
----------------------------------------------
ln
⎝
PMT G
--------------------------------------------------------- -
N =
where: i ƒ 0
– PV (
N =
Appendix B: Reference Information
( ) )
x + 1
] 1 –
0
C/Y ÷ P/Y
(.01 × I%) ÷ C/Y
compounding periods per year
payment periods per year
interest rate per year
( ÷ )
1 N
÷ )
– 1
(
1 –
×
----------------------------- -
PMT G
i
( ×
y
× ⁄ × [
e
×
× ×
– FV i
i
× ×
+ PV
i
( )
ln 1 + i
) PMT ÷
+ FV
– N
)
1 + i
+ FV
i
( ) )
ln x + 1
]
– 1
⎞
⎠
i
– N
× ( )
1 + i
183