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May, 2015
Applying the daily inflation to
forecast the Broad Consumer
Price Index (IPCA)
Pedro Costa Ferreira
Juliana Carneiro
André Braz
2
Agenda
o Motivation
o Inflation Monitor
Ardeo, Quadros and Picchetti (2013) – A daily frequency inflation measure and its
information content on forecasts
o Monitor “limitation”
o Proposed Idea
o Results
o Conclusions and Future studies
Center for Statistical and Computational Methods
3
Motivation
o The importance of Consumer Price Index
o It is used by the Brazilian Central Bank as the guideline for achieving its inflation
targets policy;
o In Brazil, owing to the hyperinflation episode in the 1980s, there have been many
studies done on this issue.
o Inflation Monitor and first six days forecasts issue
o The importance of CPI predictability and the SARIMA models
Center for Statistical and Computational Methods
4
Inflation Monitor
o What is the Inflation Monitor?
o It’s a daily inflation estimate of the Broad Consumer Price Index (IPCA),
the official inflation index in Brazil.
o How does it work?
o The inflation rates estimations are calculated for moving periods of 30
days based on the preceding 30 days.
Center for Statistical and Computational Methods
Apr, 2015 May, 2015 June, 2015
IPCA
release
070203 0304
o What is the obvious problem?
5
Proposed Idea
o We have used the one step ahead forecast by employing SARIMA models;
o But, we didn’t make daily forecasts. We have built 6 month TS with the daily
information
Center for Statistical and Computational Methods
3 4 5 6 7 8 9 ... 31 1 2 ... 30 1 2 ... 31 1 2 ... 30 1 2 ... 31 1 2 ... 30 ...
april may jun jul aug sep
 Daily
Inflation
0
apr/05
may05
jun/05
nov/13
dec/13
apr/05
may/05
jun/05
nov/13
dec/13
Second days of
collection period
First days of
collection period
6
Results
o SARIMA model had best results for every six days.
Center for Statistical and Computational Methods
Days of
collection
period
SARIMA Model
1 (0,0,2)(0,1,1)12
2 (0,0,1)(0,1,2)12
3 (0,0,2)(0,1,1)12
4 (0,0,2)(0,1,1)12
5 (0,0,2)(0,1,1)12
6 (0,0,2)(0,1,1)12
Days of
collection
period
Monitor SARIMA
1 0,048 0,043
2 0,044 0,031
3 0,041 0,037
4 0,044 0,038
5 0,042 0,039
6 0,039 0,038
Adjusted models Mean Absolute Error (MAE)
7
Conclusion and future studies
o We achieved the core purpose of this work, that is: we reduced the forecast
error of daily IPCA done by the Inflation Monitor
o We keep working on this research problem;
o Better results can be achieved by:
o forecasting the components of the index themselves and, afterwards, by
aggregating them in an index as a whole
o Estimating the SARIMA using daily data
Center for Statistical and Computational Methods
www.fgv.br/ibre
ありがとう
Thank you!!
Obrigado
Pedro Costa Ferreira
pedro.guilherme@fgv.br

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Apresentação 14th Ottawa Group Meeting - 2015

  • 1. May, 2015 Applying the daily inflation to forecast the Broad Consumer Price Index (IPCA) Pedro Costa Ferreira Juliana Carneiro André Braz
  • 2. 2 Agenda o Motivation o Inflation Monitor Ardeo, Quadros and Picchetti (2013) – A daily frequency inflation measure and its information content on forecasts o Monitor “limitation” o Proposed Idea o Results o Conclusions and Future studies Center for Statistical and Computational Methods
  • 3. 3 Motivation o The importance of Consumer Price Index o It is used by the Brazilian Central Bank as the guideline for achieving its inflation targets policy; o In Brazil, owing to the hyperinflation episode in the 1980s, there have been many studies done on this issue. o Inflation Monitor and first six days forecasts issue o The importance of CPI predictability and the SARIMA models Center for Statistical and Computational Methods
  • 4. 4 Inflation Monitor o What is the Inflation Monitor? o It’s a daily inflation estimate of the Broad Consumer Price Index (IPCA), the official inflation index in Brazil. o How does it work? o The inflation rates estimations are calculated for moving periods of 30 days based on the preceding 30 days. Center for Statistical and Computational Methods Apr, 2015 May, 2015 June, 2015 IPCA release 070203 0304 o What is the obvious problem?
  • 5. 5 Proposed Idea o We have used the one step ahead forecast by employing SARIMA models; o But, we didn’t make daily forecasts. We have built 6 month TS with the daily information Center for Statistical and Computational Methods 3 4 5 6 7 8 9 ... 31 1 2 ... 30 1 2 ... 31 1 2 ... 30 1 2 ... 31 1 2 ... 30 ... april may jun jul aug sep  Daily Inflation 0 apr/05 may05 jun/05 nov/13 dec/13 apr/05 may/05 jun/05 nov/13 dec/13 Second days of collection period First days of collection period
  • 6. 6 Results o SARIMA model had best results for every six days. Center for Statistical and Computational Methods Days of collection period SARIMA Model 1 (0,0,2)(0,1,1)12 2 (0,0,1)(0,1,2)12 3 (0,0,2)(0,1,1)12 4 (0,0,2)(0,1,1)12 5 (0,0,2)(0,1,1)12 6 (0,0,2)(0,1,1)12 Days of collection period Monitor SARIMA 1 0,048 0,043 2 0,044 0,031 3 0,041 0,037 4 0,044 0,038 5 0,042 0,039 6 0,039 0,038 Adjusted models Mean Absolute Error (MAE)
  • 7. 7 Conclusion and future studies o We achieved the core purpose of this work, that is: we reduced the forecast error of daily IPCA done by the Inflation Monitor o We keep working on this research problem; o Better results can be achieved by: o forecasting the components of the index themselves and, afterwards, by aggregating them in an index as a whole o Estimating the SARIMA using daily data Center for Statistical and Computational Methods