Matakuliah
Tahun
: F0892 - Analisis Kuantitatif
: 2009
ARITHMETIC DAN GEOMETIC MEAN
Pertemuan 3
ARITHMETIC MEAN
What Does Arithmetic Mean Mean?
A mathematical representation of the typical value
of a series of numbers, computed as the sum of all
the numbers in the series divided by the count of all
numbers in the series.
Arithmetic mean is commonly referred to as
"average" or simply as "mean".
Bina Nusantara University
3
ARITHMETIC MEAN
• Suppose you wanted to know what the
arithmetic mean of a stock's closing price
was over the past week. If during the fiveday week the stock closed at $14.50,
$14.80, $15.20, $15.50, and then $14.00,
its arithmetic mean closing price would be
equal to the sum of the five numbers
($74.00) divided by five, or $14.80.
Bina Nusantara University
4
ARITHMETIC MEAN
n
Ã
=
∑ HPY
t=1
n
Bina Nusantara University
5
Geometric Mean
GEOMETRIC MEAN
What Does Geometric Mean Mean?
The average of a set of products, the calculation of which is commonly
used to determine the performance results of an investment or
portfolio. Technically defined as "the 'n'th root product of 'n' numbers",
the formula for calculating geometric mean is most easily written as:
Ĝ=
Bina Nusantara University
[(1+HPY₁) x (1+HPY₂) x … x(1+HPYn)]½ - 1
6
HPY₁ = 12%
à = 12 + 24
2
HPY₂=24%
= 18%
Ĝ = [(1,12) x (1,24)]½ - Grand Pa
Bina Nusantara University
7