Percentage Changes
One item we did not get to in our class discussions today was the percentage change.
Percentage changes are a commonly used method of analysis and interpretation. Although we have calculated fractions or shares or percentages of components of GDP spending, the percentage change is different.
Percentage change has us compare a current value with a past value. Or one period with another period.
To calculate the percentage change in GDP in 2006, it is implied that change is relative to the previous period, 2005. The following formula would be used:
(GDP2006 - GDP2005)
-------------------------- x 100 = % change GDP2006
GDP2005
so from the handout in class that would be
(13,194.7 - 12,433.9)
------------------------ x 100 = 6.12%
12,433.9
In general, the formula is
(current value - previous value)
--------------------------------- x 100
previous value
"current" and "previous" may be limiting terms. If we look at the percentage change back in 2003, we'd think of "current" as 2003 and "previous" as 2002.
if we let the variable t stand for current and i stand for some previous period then we can generalize as
(Xt - Xt-i)
---------- x 100
Xt-i
