Interest Rate Conversions
Interest Rat
Interest Rat
Interest Rat
e Conversions
e Conversions
e 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
Finite Compounding
Finite Compounding
Finite Compounding
NOM
EFF
1
C
Continuous Compounding
Continuous Compounding
Continuous Compounding
Continuous Compounding
NOM
EFF
e
(
) 1
Statistics
Statistics
Statistics
Statistics
Mean
Mean
Mean
Mean
x
x
y
n
Weighted Mean
Weighted Mean
Weighted Mean
Weighted Mean
wx
x
w
w
Linear Estimation
Linear Estimation
Linear Estimation
Linear Estimation
n
= number of data pairs
ˆ
y
A
Bx
y
A
ˆ
x
B
xy
B
where
x
A
y
x B
C
1
y
n
x
y
n
2
x
2
n
Appendix D: Formulas Used
Appendix D:
Formulas Used
Appendix D:
Appendix D:
Formulas Used
Formulas Used
191
191
191
191