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“Revisions to global income comparisons − 
the case of ICP 2011” 
Robert Inklaar 
Comment 
Nicholas Oulton 
LSE 
33rd General Conference of the IARIW, Rotterdam, 
24-30th August 2014
THE PROBLEM 
• According to the 2011 ICP, the world is both richer and 
more equal than we thought on the basis of the 2005 
ICP. And (absolute) poverty rates are also lower. The 
average country is 25% richer relative to the US. 
• This is because the price levels in most African and 
Asian countries turned out to be lower in 2011, 
according to the 2011 ICP, than we would have 
expected based on extrapolating the 2005 price levels 
using inflation rates in each country. 
• If prices are lower, the standard of living must be 
higher (relative to what we would have expected based 
on extrapolating from 2005). 
2
THIS PAPER 
Is there some way in which the two rounds of the 
ICP can be made consistent with each other? 
Robert’s solution 
Either 
Find a better way of extrapolating from 2005 to 
2011. 
Or 
Revise the 2005 PPPs in a plausible way. 
3
The ratio d 
For country j in 2011: 
  
 
  
4 
2011 2005 
2005 
j j 
2011 2005 
Extrapolated PPP 
1 
Actual PPP 
Actual GDP per head 
1 
Extrapolated 
/ 
Extrapolated 2005 PPP 
GDPper head 
: 
/ 
j 
US US 
j 
P P 
PPP 
P 
d 
P 
 
  
 
 
2005 
2011 
2011 
2005
Comparing actual with extrapolated PPPs 
in 2011 
Note: PPPs extrapolated from 2005 to 2011 using relative inflation rates. 142 
countries. 
5 
GDP Consumption 
Mean d 0.237 0.254 
Root mean squared d 0.336 0.349
Reasons for discrepancy (d not equal to 0) 
1. Relative inflation rates are not appropriate 
for extrapolating PPPs. 
2. The 2005 PPPs were flawed. 
6
“Updating by relative inflation rates is not 
appropriate” 
• Try extrapolating PPPs using the Balassa-Samuelson 
relationship. 
[B-S: log (PPP/exchange rate) is negatively related to 
log(GDP per capita).] 
Result: not much reduction in root mean square d. 
• Construct extrapolated PPPs using prices at Basic 
Heading level, updated by disaggregated consumer 
prices, and weighted together using international 
weights. This does not reduce root mean square d very 
much either. 
• Conclusion: reason 1 not very persuasive. 
7
Were the 2005 PPPs systematically flawed? 
A possible solution 
Following Deaton and Aten (2014), the problem may lie with the “ring” 
procedure in 2005. Comparisons within each region may have been 
correct but the process of aligning the 18 ring countries with each 
other may have gone wrong. The ring process used a separate product 
list which may have been unrepresentative in some poorer countries. 
Deaton-Aten-Inklaar solution: 
• backcast PPPs for all countries from 2011 to 2005 using relative 
inflation rates. 
• Calculate regional GDP using these backcast PPPs. 
• Assume each country has the same share of this new regional GDP 
as it did in the old regional GDP which used 2005 PPPs. 
• Re-calculate 2005 PPPs using the new GDP estimates. This 
preserves the original relative positions within each ICP region. 
8
Comparing actual with extrapolated PPPs 
in 2011 
Note: PPPs extrapolated from 2005 to 2011 using relative inflation rates. 142 
countries. 
9 
GDP Consumption 
Baseline 
Mean d 0.237 0.254 
Root mean squared d 0.336 0.349 
Deaton-Aten 
adjustment 
Mean d -0.108 -0.003 
Root mean squared d 0.165 0.132
The root mean square d ratio by ICP region: original 
and after Deaton-Aten adjustment (GDP) 
Note: Number of countries in each ICP region in parentheses. Source: Table7. 
10 
Original Deaton-Aten 
Global (142) 0.336 0.165 
Africa (43) 0.344 0.206 
Asia (23) 0.420 0.184 
CIS (10) 0.341 0.134 
Eurostat-OECD (45) 0.121 0.121 
Latin America (10) 0.192 0.078 
Western Asia (11) 0.747 0.123
MY COMMENTS 
• The Deaton-Aten-Inklaar adjustment improves 
consistency between the 2011 and 2005 PPPs. 
But, given this is only a 6 year difference, there is 
still a worryingly large discrepancy (d) of 17%. 
• The reduction in root mean square d is less than 
average in Africa (where according to Deaton- 
Aten it might be expected to be greatest). 
• Very interesting results on an important topic! 
11

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Session 6 a comment on inklaar

  • 1. “Revisions to global income comparisons − the case of ICP 2011” Robert Inklaar Comment Nicholas Oulton LSE 33rd General Conference of the IARIW, Rotterdam, 24-30th August 2014
  • 2. THE PROBLEM • According to the 2011 ICP, the world is both richer and more equal than we thought on the basis of the 2005 ICP. And (absolute) poverty rates are also lower. The average country is 25% richer relative to the US. • This is because the price levels in most African and Asian countries turned out to be lower in 2011, according to the 2011 ICP, than we would have expected based on extrapolating the 2005 price levels using inflation rates in each country. • If prices are lower, the standard of living must be higher (relative to what we would have expected based on extrapolating from 2005). 2
  • 3. THIS PAPER Is there some way in which the two rounds of the ICP can be made consistent with each other? Robert’s solution Either Find a better way of extrapolating from 2005 to 2011. Or Revise the 2005 PPPs in a plausible way. 3
  • 4. The ratio d For country j in 2011:      4 2011 2005 2005 j j 2011 2005 Extrapolated PPP 1 Actual PPP Actual GDP per head 1 Extrapolated / Extrapolated 2005 PPP GDPper head : / j US US j P P PPP P d P      2005 2011 2011 2005
  • 5. Comparing actual with extrapolated PPPs in 2011 Note: PPPs extrapolated from 2005 to 2011 using relative inflation rates. 142 countries. 5 GDP Consumption Mean d 0.237 0.254 Root mean squared d 0.336 0.349
  • 6. Reasons for discrepancy (d not equal to 0) 1. Relative inflation rates are not appropriate for extrapolating PPPs. 2. The 2005 PPPs were flawed. 6
  • 7. “Updating by relative inflation rates is not appropriate” • Try extrapolating PPPs using the Balassa-Samuelson relationship. [B-S: log (PPP/exchange rate) is negatively related to log(GDP per capita).] Result: not much reduction in root mean square d. • Construct extrapolated PPPs using prices at Basic Heading level, updated by disaggregated consumer prices, and weighted together using international weights. This does not reduce root mean square d very much either. • Conclusion: reason 1 not very persuasive. 7
  • 8. Were the 2005 PPPs systematically flawed? A possible solution Following Deaton and Aten (2014), the problem may lie with the “ring” procedure in 2005. Comparisons within each region may have been correct but the process of aligning the 18 ring countries with each other may have gone wrong. The ring process used a separate product list which may have been unrepresentative in some poorer countries. Deaton-Aten-Inklaar solution: • backcast PPPs for all countries from 2011 to 2005 using relative inflation rates. • Calculate regional GDP using these backcast PPPs. • Assume each country has the same share of this new regional GDP as it did in the old regional GDP which used 2005 PPPs. • Re-calculate 2005 PPPs using the new GDP estimates. This preserves the original relative positions within each ICP region. 8
  • 9. Comparing actual with extrapolated PPPs in 2011 Note: PPPs extrapolated from 2005 to 2011 using relative inflation rates. 142 countries. 9 GDP Consumption Baseline Mean d 0.237 0.254 Root mean squared d 0.336 0.349 Deaton-Aten adjustment Mean d -0.108 -0.003 Root mean squared d 0.165 0.132
  • 10. The root mean square d ratio by ICP region: original and after Deaton-Aten adjustment (GDP) Note: Number of countries in each ICP region in parentheses. Source: Table7. 10 Original Deaton-Aten Global (142) 0.336 0.165 Africa (43) 0.344 0.206 Asia (23) 0.420 0.184 CIS (10) 0.341 0.134 Eurostat-OECD (45) 0.121 0.121 Latin America (10) 0.192 0.078 Western Asia (11) 0.747 0.123
  • 11. MY COMMENTS • The Deaton-Aten-Inklaar adjustment improves consistency between the 2011 and 2005 PPPs. But, given this is only a 6 year difference, there is still a worryingly large discrepancy (d) of 17%. • The reduction in root mean square d is less than average in Africa (where according to Deaton- Aten it might be expected to be greatest). • Very interesting results on an important topic! 11

Editor's Notes

  1. Main analytical tool in paper: the d ratio. Extrapolating based on relative inflation rates is a standard technique: used by OECD-Eurostat, World Bank and Penn World Table. [GDP deflator used for GDP, CPI for household consumption.]
  2. Root mean square measure is better measure since negative d just as bad as positive. Averaging over positive and negative can produce a result close to zero --- misleading. [Robert should give standard deviations.] Average “error” is 34% (above or below)!
  3. These two reasons are commonly given and these are the ones Robert investigates. 1. PPPs use multilateral weights but GDP deflators (CPIs) use domestic weights. Actually, I think this argument is incorrect but that’s the subject of my paper not Robert’s!
  4. Robert has had an interchange with Martin Ravallion in the ROIW about this.
  5. In effect this assumes that 2011 is right and 2005 is wrong, at least as regards the 18 2005 ring countries.
  6. So after the D-A-I adjustment, the root mean square d is halved (GDP) or nearly divided by 3 (C).
  7. So the D-A-I adjustment seems to reduce d in 5 out of 6 regions, Biggest effect is in Western Asia. No effect in Eurostat-OECD. Smallest effect in Africa. [Western Asia contains Saudi, Bahrain, Oman, Kuwait, Qatar, Egypt, Yemen]. Still large discrepancies: overall 17% difference (positive or negative) between actual and extrapolation even after D-A-I adjustment.