Food price pass-through in the euro area: the role of asymmetries and non-linearities

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Food price pass-through in the euro area: the role of asymmetries and non-linearities (*) Gianluigi Ferrucci, European Central Bank Rebeca Jiménez-Rodrigues, University of Salamanca Luca Onorante, European Central Bank Economic Seminar National Bank of Serbia Belgrade, 10 December 2010 The views expressed in this presentation are those of the authors and do not necessarily reflect those of the European Central Bank (*) The paper can be downloaded at: http://www.ecb.europa.eu/pub/pdf/scpwps/ecbwp1168.pdf.

Outline The paper s contributions: - use of a new dataset to control for the CAP - accounting for non-linearities Key findings Historical decomposition of the food price shock of 2007-09

The food price puzzle: an illustration 7.0 Jan 1991-Dec 2006 Jan 2007- Jul 2009 6.0 5.0 HICP food ex toba acco (yoy per rcent) 4.0 3.0 20 2.0 1.0 0.0-1.0-30.0 0-20.0 0-10.0 0 00 0.0 10.00 20.00 30.00 40.00 50.00 HWWI food (yoy percent)

The food price puzzle: an illustration 7.0 Jan 1991-Dec 2006 Jan 2007- Jul 2009 6.0 5.0 HICP food ex toba acco (yoy per rcent) 4.0 3.0 R 2 = 0.00 20 2.0 1.0 0.0-1.0-30.0 0-20.0 0-10.0 0 00 0.0 10.00 20.00 30.00 40.00 50.00 HWWI food (yoy percent)

The food price puzzle: an illustration 7.0 Jan 1991-Dec 2006 Jan 2007- Jul 2009 6.0 R 2 = 0.55 5.0 HICP food ex toba acco (yoy per rcent) 4.0 3.0 R 2 = 0.00 20 2.0 1.0 0.0-1.0-30.0 0-20.0 0-10.0 0 00 0.0 10.00 20.00 30.00 40.00 50.00 HWWI food (yoy percent)

Stylised facts from the earlier literature PT varies depending on the product PT varies across countries PT has changed over time PT to producer prices is higher than to consumer prices Pass-through is asymmetric and non-linear For the euro area PT from international commodity prices is small and generally statistically insignificant

The food price puzzle Conventional wisdom holds that commodity price shocks are transmitted to retail prices. Yet formal statistical tests struggle to find a robust pass-through (PT) for euro area food prices Two hypotheses to explain this puzzle: Wrong data: the international commodity prices at the heart of the existing PT studies neglect the distortions induced by the Common Agricultural Policy (CAP) Wrong model: PT may be non-linear, depending on the sign, size and volatility of the impulse

Data issues We use a new database of farm-gate and internal market prices of food commodities collected in the EU Dataset takes implicitly into account the presence of the CAP in the EU 4 product groups covered (meat, crops, oils, dairy) Underlying series across the EU Monthly data, sample period starts in 1997 Strong prima facie evidence that the CAP matters when assessing the PT in food production chain

The DG-AGRI dataset: an overview Cereals Dairy Meat Oil and fats Feed oats Skim milk powder (SMD) Beef Oil 2% Milling oats SMD - intervention quality Joung beef Extra vergin oil 0.5% Feed rye SMD - animal feed quality Cow Extra vergin oil 0.8% Breadmaking rye Butter Young cow Olive residue Durum wheat Cheddar Pork Olive residue 10% Feed wheat Edam Chicken Breadmaking wheat Eggs Maize Malting barley Feed barley 4 product groups and 28 price series covered 4 product groups and 28 price series covered Individual price series not weighted together within product groups

Milk prices and the role of the CAP (euro per ton) 4000 EU internal market price 4000 3500 EU intervention price International market price 3500 3000 3000 2500 2000 1500 1000 500 0 2500 2000 1500 1000 500 0 1991 1993 1995 1997 1999 2001 2003 2005 2007 2009 Sources: European Commission and USDA. Note: monthly data; last observation December 2009.

Commodity and retail prices: dairy products (annual percentage changes) 140 120 100 80 60 40 20 0-20 -40-60 internation food commodity prices (LHS) EU internal market prices of food comm. (LHS) HICP dairy prices (RHS) 35 30 25 20 15 10 5 0-5 -10-15 1997 1999 2001 2003 2005 2007 2009 International food commodities significantly more volatile than EU internal market prices EU internal market prices tend to correlate more closely with HICP food prices EU commodity prices lead changes in HICP food prices Sources: Eurostat, DG-AGRI and USDA. Note: monthly data; last observation Dec 2009.

A new Food Commodity Index (FCI) Individual series can be combined in a FCI including: EU internal market prices for the commodities that are produced domestically in the EU (e.g. wheat, milk) international prices for those commodities that are not subject to CAP intervention prices (e.g. cocoa, coffee) Prices are weighted using use-based weights

International vs EU internal market prices 190 170 Index in euro, average 2005 = 100 FCI - EU internal market prices FCI - international commodity prices 150 130 110 90 70 1997 1999 2001 2003 2005 2007 2009 Sources: DG-AGRI, HWWI, and ECB calculations.

VAR analysis in a food price chain Estimate VARs in a price chain framework EU farm-gate PPI food HICP food Pass-through measured by impulse responses Estimation performed both on food aggregates and on sub-components Focus on selected food items representing 50% of the Focus on selected food items representing ~ 50% of the euro area HICP food consumption basket (fish, fruit, vegetables, soft drinks, alcoholic beverages and tobacco are excluded)

Asymmetries and non-linearities Estimate five different VARs on monthly data: 1) Linear: p y = k+ Ay + ε t i t i t i=11 y t is (n x 1) vector of endogenous variables k is (n x 1) intercept vector A i is (n x n) matrix of AR coefficients (i = 1, 2,..., p) ε t is (n x 1) vector of white noise processes y t = (hicp_food t, ppi_food t, comm_food t )

Asymmetries and non-linearities Estimate five different VARs on monthly data: 2) Asymmetric: separate positive and negative shocks c c c if > + t t t = 0 if ct 0 0 ct if ct 0 c t = < 0 if ct 0 Then estimate two separate VARs y t = (hicp_food t, ppi_food t, c t+ ) y - t = (hicp_food t, ppi_food t, c t )

Asymmetries and non-linearities Estimate five different VARs on monthly data: 3) Net 1: considers commodity prices increases that exceed the maximum value over the previous 12 months ( { }) NCPI = max 0, c max c,..., c t t t 1 t 12 4) Net 2: considers commodity prices increases that exceed the maximum value over the previous 24 months

Asymmetries and non-linearities Estimate five different VARs on monthly data: 5) Scaled: AR(12) GARCH(1,1) specification, to account for volatility c = α + α c +... + α c + e t 0 1 t 1 12 t 12 t e I N (0, h ) t t 1 t h = γ + γ e + γ h 2 2 t 0 1 t 1 2 t 1 ^ SCPIt = max 0, ct / ht

Persistence of a 1% commodity price shock Length of pass-through to HICP (number of months) Linear Asymmetric Net 1 Net 2 Scaled Bread 10 7 7 7 8 Coffee 8 7 9 8 7 Dairy 8 9 10 10 10 Fats 9 9 10 4 10 Meat 7 2 2 2 7 Sugar - - c c - FCI 9 8 8 8 9 Full PT to consumer prices takes between 7 and 10 months Finding of a slow PT in line with earlier studies Heterogeneity Slower than PT to PPI

Impact of a 1% shock in commodity prices Linear model by HICP food component (percentage point) Differences in PT by component appear significant In principle, i bottom-up approach is preferable as it allows a more flexible modelling of idiosyncratic components

Impact of a 1% shock in commodity prices Linear model Aggregate versus disaggregate (percentage point) Differences between aggregate and disaggregate approach: use of FCI leads to overestimation When global commodity prices are used PT becomes minuscule

Impact of a 1% shock in commodity prices HICP food prices differences across models (percentage point) Linear Asymmetric Net 1 Net 2 Scaled Panel A: Weighted sum contemporaneous 0.02330233 00327 0.0327 00156 0.0156 0.01500150 00144 0.0144 1 quarter 0.1226 0.2133 0.1335 0.1375 0.1023 2 quarters 0.2317 0.3927 0.2547 0.2607 0.2200 3 quarters 0.3029 0.5052 0.3402 0.3409 0.3041 4 quarters 0.3270 0.5496 0.3817 0.3776 0.3468 5 quarters 0.3229 0.5531 0.3910 0.3835 0.3589 6 quarters 0.3108 0.5419 0.3840 0.3750 0.3561 P l B FCI Asymmetries are important PT of negative shocks is nil Impact of exceptional shocks is not much different from linear case Scaling the shock by its volatility also yields similar PT as linear case

Historical decomposition Compute a historical decomposition (Sims, 1980) to gauge the impact of commodity price shocks on retail food prices Decomposition shows how much of the deviation from trend in HICP food prices is attributed to shocks at various stages of the food supply chain Shocks are assumed to follow the same order as the food price chain: commodity prices PPI food HICP food

Historical decomposition (1) Linear VAR + International commodity prices 7 Consumer prices 6 Producer prices Commodity prices 5 Deviation i from trend 4 3 2 1 0-1 -2-3 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009

Historical decomposition (2) Linear VAR + EU internal market prices 7 Consumer prices 6 Producer prices Commodity prices 5 Deviation i from trend 4 3 2 1 0-1 -2-3 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009

Historical decomposition (3) Non-linear VAR + EU farm gate prices 7 Consumer prices 6 Producer prices Commodity prices 5 Deviation from trend 4 3 2 1 0-1 -2-3 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009

Conclusions We have measured PT elasticities in the food supply chain using a VAR and impulse responses EU farm-gate prices perform well unlike international commodities Asymmetries and non-linearities appear to be statistically and economically significant The disaggregate approach allows more flexible modelling of The disaggregate approach allows more flexible modelling of idiosyncratic components, this can be an advantage for short time forecasting

Thank you for your attention!

Consumer and commodity prices Meat (annual percentage change) Bread and cereals (annual percentage change) 70 global (left-hand scale) EU farm-gate (left-hand scale) HICP (right-hand scale) 28 80 global (left-hand scale) EU farm-gate (left hand scale) HICP (right-hand scale) 16.0 60 50 24 20 60 12.0 40 30 20 16 12 8 40 20 8.0 4.0 10 0-10 4 0-4 0-20 00 0.0-4.0-20 -30-8 -12-40 -8.0-40 -16-60 -12.0 1997 1999 2001 2003 2005 2007 2009 1997 1999 2001 2003 2005 2007 2009 Sources: Eurostat, DG-AGRI and Bloomberg. Sources: Eurostat, DG-AGRI and OECD.

Consumer and commodity prices Dairy (annual percentage change) 140 120 100 80 60 40 20 0-20 -40-60 global (left-hand scale) EU farm-gate (left hand scale) HICP (right-hand scale) 1997 1999 2001 2003 2005 2007 2009 35 30 25 20 15 10 5 0-5 -10 Oil and fats (annual percentage change) 80 60 40 20 0-20 -40-15 -60 global (left-hand scale) EU farm-gate (left hand scale) HICP (right-hand scale) 1997 1999 2001 2003 2005 2007 2009 16.0 12.0 8.0 4.0 00 0.0-4.0-8.0-12.0 Sources: Eurostat, DG-AGRI and Bloomberg. Sources: Eurostat, DG-AGRI and OECD.

Euro area HICP food prices by component Weight in overall Food item HICP food UNPR Meat 18.8 PR Bread and cereals 13.3 PR Milk, cheese and eggs 11.8 PR Sugar, jams, honey, chocolate and confectioneries 4.9 PR Oil and fats 2.8 PR Coffee 1.9 Total of included items 53.5 UNPR Fish 5.9 UNPR Fruit 6.2 UNPR Vegetables 8.1 PR Mineral waters, soft drinks, fruit and vegetable juices 49 4.9 PR Alcohol beverages 7.5 PR Tobacco 11.6 PR Food products n.e.c. 2.2 Total of excluded items 46.44

Linear Asymmetric Net 1 Net 2 Scaled Panel A: Weighted sum contemporaneous 0.0233 0.0327 0.0156 0.0150 0.0144 1 quarter 0.1226 0.2133 0.1335 0.1375 0.1023 2 quarters 0.2317 0.3927 0.2547 0.2607 0.2200 Impact of a 3 quarters 0.3029 0.5052 0.3402 0.3409 0.3041 4 quarters 0.3270 0.5496 0.3817 0.3776 0.3468 1% shock in 5 quarters 0.3229 0.5531 0.3910 0.3835 0.3589 6 quarters 0.3108 0.5419 0.3840 0.3750 0.3561 commodity Panel B: FCI prices contemporaneous 0.0285 0.0456 0.0190 0.0200 0.0234 1 quarter 0.1767 0.3194 0.2045 0.2018 0.1597 HICP food prices 2 quarters 0.3246 0.5306 0.3438 0.3412 0.2831 3 quarters 0.4259 0.6516 0.4241 0.4182 0.3602 (percentage point) 4 quarters 0.4727 0.7042 0.4606 0.4499 0.3959 5 quarters 0.4846 0.7200 0.4727 0.4580 0.4071 6 quarters 0.4819 0.7207 0.4743 0.4572 0.4078 Panel C: FCI international contemporaneous -0.0001 0001-0.0018 0018-0.0025 0025-0.0026 0026 0.00150015 1 quarter 0.0070 0.0074 0.0065 0.0055 0.0005 2 quarters 0.0295 0.0446 0.0335 0.0470 0.0078 3 quarters 0.0488 0.0746 0.0555 0.0824 0.0140 4 quarters 0.0600 0.0932 0.0700 0.1047 0.0179 5 quarters 0.0649 0.1038 0.0791 0.1161 0.0202 6 quarters 0.0661 0.1097 0.0848 0.1199 0.0216

Persistence of a 1% commodity price shock Length of pass-through to PPI (number of months) Linear Asymmetric Net 1 Net 2 Scaled Bread 8 5 5 5 7 Coffee 7 5 8 7 5 Dairy 7 7 8 8 8 Fats 5 4 3 2 4 Meat 3 1 c c 3 Sugar - - - - - FCI 7 6 6 6 7 Full PT to the consumers takes between 7 and 10 months. Finding from earlier studies of a slow PT broadly confirmed by the VAR analysis Heterogeneity Slower than PT to PPI

Historical decomposition: conceptual Compute a historical decomposition to gauge the impact of commodity price shocks on retail food prices Theory: Write the VAR A ( L ) y t = ε t in moving average form 1 [ ( )] 1 ε = 0 y = A L = M ε t t t t i i where M t is a diagonal matrix

Historical decomposition: conceptual Assume ε = Sv t t Where v t is a vector of orthogonal random variables such that Evv' = I and ' SS = Σ is the covariance matrix of ε t As there is more than one factorisation SS of Σ assume a As there is more than one factorisation SS of Σ, assume a Choleski decomposition where S is lower triangular

Historical decomposition: empirical In practice: Decomposition constructed t via a succession of in-sample forecasts, as a layer cake: First project y t assuming ε t = 0 ( trend in y t ) Then add the shocks ε t one by one, assuming the same ordering as the price chain: commodity prices PPI food HICP food Pairwise difference measures how much of the deviation from trend in HICP food prices is attributed to shocks at various stages of the food supply chain

Historical decomposition: caveat Ordering matters when using Choleski - does the ordering make sense economically? - (Granger) test for one way causality - robustness test