Math 103 Formula Sheet - Financial Management, Probability And Counting Rules, Statistics

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Math 103 Formula Sheet
Financial Management
Future Value for
Simple Interest:
I = P rt
A = P (1 + rt)
Simple Interest:
Future Value for
Present Value for
r
nt
A
Compound
Compound
A = P 1 +
P =
r
nt
n
Interest:
Interest:
1 +
n
Future Value for
Annual Yield
r
n
continuous
(effective simple
rt
A = P e
Y = 1 +
1
n
compounding:
interest rate):
r
nt
Future Value of an
Periodic deposits
r
P
1 +
1
A
Annuity (P is the
for an Annuity (A
n
n
A =
P =
r
amount of each
is the amount of
r
nt
1 +
1
deposit):
the annuity)
n
n
Periodic Mortgage
r
P
Payments (P is the
n
P M T =
amount of
r
nt
1
1 +
mortgage):
n
Probability and Counting Rules
n!
n!
Permutation rule
Combination rule:
P
=
C
=
n
r
n
r
(n
r)!
(n
r)! r!
P (not E) = 1
P (E)
P (A or B) = P (A) + P (B)
P (A and B) = P (A) · P (B)
P (A or B) = P (A) + P (B)
P (A and B)
number of outcomes common to B and A
n(B
A)
P (B|A) =
=
number of outcomes in A
N (A)
Statistics
Mean for grouped
(f · X)
X
Mean for the
X =
X =
data:
n
n
individual data:
2
(data item
mean)
data item
mean
Standard Deviation
Z-score:
s =
z =
standard deviation
n
1

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