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Using the GDP Deflator Series: Calculations and Examples, Study notes of Economics

Practical examples on how to use the gdp deflator series to calculate inflation rates, inflate or deflate figures, and produce real terms series. It includes worked examples using data from hm treasury.

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

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Annex A: How to use the GDP deflator series: Practical
examples
NOTE – The GDP deflator data used to illustrate the worked examples shown throughout
this annex were published by HM Treasury on 27 March 2013.
The following is an extract from a deflator series and provides examples of how the series
can be used.
GDP deflator at market
prices
GDP (£ million)
Financial
Year
GDP
deflator
2011-12
=100
percentage
change on
previous
year
Money
GDP Cash
Money
GDP Real
Terms
2011-12
prices
2006-07 89.254 2.69 1,350,438 1,513,028
2007-08 91.478 2.49 1,432,887 1,566,373
2008-09 93.975 2.73 1,422,290 1,513,477
2009-10 95.389 1.50 1,415,654 1,484,085
2010-11 97.978 2.71 1,480,569 1,511,124
2011-12 100.000 2.06 1,524,550 1,524,550
2012-13 101.30
0
1.3 1,546,000 1,526,160
2013-14 103.63
0
2.3 1,595,000 1,539,131
data in italics have been added-in for the purposes of this example
Calculating Inflation Between Different years
In the above example there is a 2.71% increase in prices between 2009-10 and 2010-11
i.e.
󰇛..󰇜
.
100 2.71%
Q. What was the cumulative inflation between 2006-07 and 2011-12?
A. 12.04% increase between 2006-07 and 2011-12.
i.e.
󰇛  . 󰇜
.
100 12.04%
Inflating Figures
Q. How much would £7.40 million in 2009-10 prices be worth in 2013-14 prices?
A. Use the GDP deflator series which shows that in 2013-14 prices are higher than in 2009-
10 by a ratio of 1.09 (103.630 ÷ 95.389).
pf3

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Annex A: How to use the GDP deflator series: Practical

examples

NOTE – The GDP deflator data used to illustrate the worked examples shown throughout

this annex were published by HM Treasury on 27 March 2013.

The following is an extract from a deflator series and provides examples of how the series

can be used.

GDP deflator at market prices

GDP (£ million)

Financial Year

GDP

deflator 2011- =

percentage change on previous year

Money GDP Cash

Money GDP Real Terms 2011- prices

data in italics have been added-in for the purposes of this example

Calculating Inflation Between Different years

In the above example there is a 2.71% increase in prices between 2009-10 and 2010-

i.e.

ሺଽ଻.ଽ଻଼ିଽହ.ଷ଼ଽ ሻ ଽହ.ଷ଼ଽ

Q. What was the cumulative inflation between 2006-07 and 2011-12?

A. 12.04% increase between 2006-07 and 2011-12.

i.e.

ሺଵ଴଴ ି ଼ ଽ.ଶହସ ሻ଼ ଽ.ଶହସ

Inflating Figures

Q. How much would £7.40 million in 2009-10 prices be worth in 2013-14 prices?

A. Use the GDP deflator series which shows that in 2013-14 prices are higher than in 2009-

10 by a ratio of 1.09 (103.630 ÷ 95.389).

i.e. £ 7.40݉ ൈ

ଵ଴ଷ.଺ଷ଴ ଽହ.ଷ଼ଽ

Therefore £7.40m in 2009-10 prices is equivalent to £8.04m in 2013-14 prices.

Deflating Figures

Q. How much would £85.32 million in 2011-12 prices have been worth in 2007-08?

A. Prices are lower in 2007-08 than 2011-12 by a factor of 0.91 (91.478 ÷ 100)

i.e. £ 85.32݉ ൈ

ଽଵ.ସ଻଼ ଵ଴଴

Therefore £85.32m in 2011-12 prices is equivalent to £78.05m in 2007-08 prices.

Changing the Reference Year

It may be necessary to change the reference year you are working from.

The easiest way to achieve this is to divide all the deflators by the value of the deflator in

the new reference year, then multiply by 100.

E.g. to rebase the series so that 2009-10 is the reference year (i.e. equal to 100)

Producing a Real Terms Series

To produce a real terms series, divide each value in the series by the given deflator for that

year, and then multiply by the deflator for the year that you wish to be the reference year.

E.g. consider the following example which shows expenditure on X for 2007-08 to 2011-12,

and suppose we wish to create a real terms series, with 2009-10 as the reference year.

Year GDP deflator Expenditure on X (£m) 2007-08 91.478 204 2008-09 93.975 219 2009-10 95.389 240 2010-11 97.978 258 2011-12 100.000 272