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Introduction of the Chain Fisher Measure of Real GDP

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Presentation by Karen Wilson - May 2001

1

Introduction of the Chain Fisher Measure of Real GDP

As of May 31 2001, the quarterly Income and Expenditure Accounts will adopt the chain Fisher index formula as the official measure of real expenditure-based Gross Domestic Product.

2

Why Change?

  • The new calculation produces the most accurate measure of quarter to quarter growth in GDP and its components;
  • The change brings the Canadian measure in line with the US quarterly Income and Product Accounts which also use the chain Fisher formula to measure real GDP.
3

What is different?

  • The weights used to add up real GDP will be based on the Fisher formula instead of  the Laspeyres formula
  • Chaining is done quarterly instead of periodically
4

The Old Measure

  • Laspeyres formula
  • chained periodically
5

Strengths and Weaknesses of the Old Measure

  • Strengths
    • easy to use statistically and analytically
    • additive in periods following the most recent base year
  • Weaknesses
    • biased because weights are from the past
    • tends to « drift » due to bias
    • non-additive prior to the base year
6

The New Measure

  • The Fisher formula
  • chained each quarter
7

The Fisher Formula

8

Level of Detail

  • 379 components of seasonally adjusted data
    • 130 Personal Expenditure
    • 25 Government Expenditure
    • 30 Capital Formation
    • 56 Inventories
    • 68 Imports
    • 69 Exports
9

Strengths and Weaknesses of the New Measure

  • Strengths
    • substitution bias is minimized
    • « drift » is minimized
  • Weaknesses
    • computationally difficult
    • not additive for any time period due to chaining
10

What is the Economic Significance of the Change?

  • The Laspeyres measure overstates economic growth when:
    • some prices are declining monotonically relative to other prices in the economy (ICT)
    • there is an abrupt shift in relative prices (Crude petroleum)
11

Impact on GDP & Selected Components

Chart: Index bias - Cumulative differences between Laspeyres growth and chain Fisher growth

12

Impact on GDP & Selected Components

Chart: Index bias - Cumulative differences between Laspeyres growth and chain Fisher growth

13

Investment Growth Comparison

14

Investment Growth Comparison - Fisher

15

Impact on Overall GDP Growth

16

Cumulative Effect on GDP

17

Decomposition into Effect of Formula Change and Frequency of Chaining

18

Supplementary Information

  • To facilitate analysis, STC will publish « contribution to change » tables for each set of chained estimates published (personal expenditure, capital formation, international trade, investment in inventories)
  • 1997 constant price data will be published as overlap for 2 years
19

Contribution to Change

20

Conclusions

  • This change is important to make Canada’s official estimate of economic growth more accurate and comparable to that of the US
  • Statistics Canada will do its best to help users in the transition to the Fisher measure