HP HP12C hp 12c_user's guide_English_E_HDPMBF12E44.pdf - Page 191
Interest Rate Conversions, Statistics
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Appendix D: Formulas Used 191 Interest Rate Conversions C EFF NOM = number of compounding periods per year. = the effective annual interest rate as a decimal. = the nominal annual interest rate as a decimal. Finite Compounding EFF = ⎜⎛1+ NOM ⎟⎞C − 1 ⎝ C⎠ Continuous Compounding EFF = (eNOM − 1) Statistics Mean x = ∑x n y = ∑y n Weighted Mean xw = ∑ wx ∑w Linear Estimation n = number of data pairs yˆ = A + Bx xˆ = y − A B where B= ∑ xy − ∑ x⋅ n ∑ y ∑ x2 − (∑ x n )2 A = y − Bx File name: hp 12c_user's guide_English_HDPMBF12E44 Printered Date: 2005/7/29 Page: 191 of 209 Dimension: 14.8 cm x 21 cm
Appendix D: Formulas Used
191
File name: hp 12c_user's guide_English_HDPMBF12E44
Page: 191 of 209
Printered Date: 2005/7/29
Dimension: 14.8 cm x 21 cm
Interest Rate Conversions
C
= number of compounding periods per year.
EFF
= the effective annual interest rate as a decimal.
NOM
= the nominal annual interest rate as a decimal.
Finite Compounding
1
1
−
⎟
⎠
⎞
⎜
⎝
⎛
+
=
C
C
NOM
EFF
Continuous Compounding
)
1
(
−
=
NOM
e
EFF
Statistics
Mean
n
x
x
∑
=
n
y
y
∑
=
Weighted Mean
∑
∑
=
w
wx
x
w
Linear Estimation
n
= number of data pairs
Bx
A
y
+
=
ˆ
B
A
y
x
−
=
ˆ
where
(
)
n
x
x
n
y
x
xy
B
2
2
∑
∑
∑
∑
∑
−
⋅
−
=
x
B
y
A
−
=