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Maize Price Differences and Evidence of 
Spatial Integration in Malawi: The Case of 
Selected Markets 
BY 
LOVEMORE NYONGO 
ECAMA RESEARCH SYMPOSIUM: LILONGWE. 
8-10 OCTOBER 2014
PRESENTATION OUTLINE 
• Introduction 
• Motivation and study Objectives 
• Literature review 
• Sample description and data sources 
• Estimation Techniques 
Co-integration Analysis and Error Correction Model 
• Results and interpretation 
• Conclusion and policy implications
INTRODUCTION 
• Efficient markets are key to achievement of food security in 
countries where many people are net food buyers. 
• Spatial market integration (SMI) becomes a useful tool in 
allocating food within the economy. 
• SMI refers to a measure of the extent to which demand and 
supply shocks in one location are transmitted to another 
location 
• As such, competition among arbitragers ensures a unique 
equilibrium where local prices in regional markets differ by no 
more than transportation costs. 
• In more integrated markets, farmers specialize in their 
production, consumers pay less and the society benefits from 
economies of scale.
MOTIVATION AND STUDY OBJECTIVES 
• In their study, Chirwa and Zakeyo (2003) reported that 93.2 
percent of farming households cultivated maize. 
• The country’s CPI is dominated by maize 
• Specifically, the study had the following objectives: 
 To investigate the price transmission mechanism across selected maize 
markets in the economy. 
 To establish if there are central maize markets in the economy. 
To assess the impact of transaction costs on maize market integration.
LITERATURE REVIEW 
• In a competitive market economy, markets transmit 
information that is useful in decision-making to economic 
agents. 
• Pricing signals regulate production, consumption and marketing 
decisions over time, form and place (Kohls and Uhl, 1998). 
• The price relationships between spatially separated markets are 
generally analyzed within the framework of spatial price 
equilibrium theory developed by Enke (1951), Samuelson 
(1964) and Takayama and Judge (1964). 
• The key assumption underpinning the theory is that price 
relationships between spatially separated competitive markets 
depend on the size of transaction costs. 
• When the price difference between markets exceeds 
transaction costs, arbitrage opportunities will be created.
SAMPLE DESCRIPTION AND DATA SOURCES 
• The study analyzed monthly retail maize prices for 6 
geographically separated markets from January 2000 
• At least one commercial center (Mzuzu, Lilongwe and Limbe) 
and one rural area in each region (Chitipa, Ntchisi and Muloza) 
were included in the study.
ANALYTICAL FRAMEWORK 
Unit root test to determine 
order of integration (ADF) 
Unit root test to determine order 
of integration (ADF) 
If I(k) If I(0) 
Accept 
Test null of no cointegration 
btwn 
prices at different markets 
(Johansen or Engle and Granger) 
Reject 
• Notes: k>0, k is the order of integration 
Estimate VAR model in 1st 
differences, perform Granger 
Causality tests and innovation 
accounting 
Specify and estimate (V) ECM to assess dynamics 
and speed of adjustment, conduct Granger 
Causality tests and innovation accounting. 
Evaluation
Co-integration Analysis and Error Correction 
Model 
• The long-run equilibrium, according to the theory of law of one 
price (LOP), is specified as: 
Pi 
t = β1 + β2Pj 
t + εt (1) 
• If εt is stationary and β2 is unity, then the markets are 
completely integrated. 
• In the study, equation 1 was modified to include 
• variables found or assumed to influence market 
integration 
• natural logarithms within VA framework 
• transaction costs (TC).
Co-integration Analysis and Error Correction 
Model Cont’d…. 
ln å ln - å ln ln 2 
p i 
=b + a p + h p i 
+b TC +e t t - 
l 
t t 
n 
l 
l 
n 
i 
j 
i t i 
= = 
1 1 
1 
(2) 
If co-integration is established, the relationship can be expressed 
in an ECM which depicts the process of adaptation in the short 
run. Johansen Co-integration test was conducted. 
To determine the number of co-integrating relations in the 
system, the study invoked the Johansen Trace test and Maximum 
Eigenvalue. Failure to accept the null hypothesis of no co-integration 
ln å ln å ln ln 1 
i 
t D p = b + a D p + q D p + l c +f TC +n - 
i t t 
j 
t l 
q 
l 
l 
i 
t l 
q 
l 
l 
= 
- 
= 
1 1 
1 
confirmed the need to re-specify equation 2 as a VECM 
as in equation 3 below: 
(3)
Co-integration Analysis and Error Correction 
Model Cont’d…. 
• To appreciate the impact of transaction costs, equation 2 and 3 
were estimated with and without transaction costs. 
• The Granger causality test was conducted to determine the 
direction of price adjustment. 
• Wald F-test was conducted for linear restrictions to find out if 
one market’s lagged prices and transaction costs jointly 
contribute to predictability of maize prices in another market.
RESULTS AND INTEPRETATION Cont’d… 
• Johansen Co-integration Test Results 
• 9 market pairs had 1 co-integrating relationship 
• 6 market pairs had no co-integrating relationships 
• Out of 5 market pairs involving Ntchisi, 4 indicate the 
absence of a long-run relationship 
• Out of 5 pairs involving Chitipa, 3 are not integrated. 
• a VEC model (equation 3) with 1 co-integrating relationship 
was estimated for the 9 co-integrated market. 
• a VAR model (equation 2) was estimated for the market 
pairs without cointegrating relationships.
RESULTS AND INTEPRETATION Cont’d… 
• Impact of Transaction Costs 
• have a significant impact on market integration, especially 
on equations involving the border markets and those 
markets with poor road network. 
• short-run speed of adjustment between market pairs ranges 
from 10 percent to 72 percent if transaction costs are 
considered and 21 percent to 66 percent when transaction 
costs are not considered. 
• Government policies, licensing procedures, delays in 
accessing price information and capacity constraints 
pertaining to storage are important factors to consider.
RESULTS AND INTEPRETATION Cont’d… 
• Granger Causality Tests 
• No market is causing all other markets without being caused 
by any of them. 
• However, Muloza and Limbe seem to granger cause 5 and 4 
other markets, respectively and, therefore, can be good 
markets for policy intervention. 
• Lilongwe seems to be a major supplier of maize to all three 
regions because it is Granger caused by Mzuzu, Ntchisi, 
Limbe and Muloza.
CONCLUSION AND POLICY IMPLICATIONS 
• Short run integration is very low implying that it takes a longer 
period for maize markets to respond to localized shocks. 
• Policy makers should consider market infrastructure 
development as a key priority to ensure linkages of maize 
markets. 
• Maize marketing in Malawi is complex and dynamic hence the 
need to continuously study it.
END OF PRESENTATION 
THANK YOU FOR YOUR ATTENTION!!!

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Maize Price Differences and Evidence of Spatial Integration in Malawi: The Case of Selected Markets by Lovemore Paul Nyongo

  • 1. Maize Price Differences and Evidence of Spatial Integration in Malawi: The Case of Selected Markets BY LOVEMORE NYONGO ECAMA RESEARCH SYMPOSIUM: LILONGWE. 8-10 OCTOBER 2014
  • 2. PRESENTATION OUTLINE • Introduction • Motivation and study Objectives • Literature review • Sample description and data sources • Estimation Techniques Co-integration Analysis and Error Correction Model • Results and interpretation • Conclusion and policy implications
  • 3. INTRODUCTION • Efficient markets are key to achievement of food security in countries where many people are net food buyers. • Spatial market integration (SMI) becomes a useful tool in allocating food within the economy. • SMI refers to a measure of the extent to which demand and supply shocks in one location are transmitted to another location • As such, competition among arbitragers ensures a unique equilibrium where local prices in regional markets differ by no more than transportation costs. • In more integrated markets, farmers specialize in their production, consumers pay less and the society benefits from economies of scale.
  • 4. MOTIVATION AND STUDY OBJECTIVES • In their study, Chirwa and Zakeyo (2003) reported that 93.2 percent of farming households cultivated maize. • The country’s CPI is dominated by maize • Specifically, the study had the following objectives:  To investigate the price transmission mechanism across selected maize markets in the economy.  To establish if there are central maize markets in the economy. To assess the impact of transaction costs on maize market integration.
  • 5. LITERATURE REVIEW • In a competitive market economy, markets transmit information that is useful in decision-making to economic agents. • Pricing signals regulate production, consumption and marketing decisions over time, form and place (Kohls and Uhl, 1998). • The price relationships between spatially separated markets are generally analyzed within the framework of spatial price equilibrium theory developed by Enke (1951), Samuelson (1964) and Takayama and Judge (1964). • The key assumption underpinning the theory is that price relationships between spatially separated competitive markets depend on the size of transaction costs. • When the price difference between markets exceeds transaction costs, arbitrage opportunities will be created.
  • 6. SAMPLE DESCRIPTION AND DATA SOURCES • The study analyzed monthly retail maize prices for 6 geographically separated markets from January 2000 • At least one commercial center (Mzuzu, Lilongwe and Limbe) and one rural area in each region (Chitipa, Ntchisi and Muloza) were included in the study.
  • 7. ANALYTICAL FRAMEWORK Unit root test to determine order of integration (ADF) Unit root test to determine order of integration (ADF) If I(k) If I(0) Accept Test null of no cointegration btwn prices at different markets (Johansen or Engle and Granger) Reject • Notes: k>0, k is the order of integration Estimate VAR model in 1st differences, perform Granger Causality tests and innovation accounting Specify and estimate (V) ECM to assess dynamics and speed of adjustment, conduct Granger Causality tests and innovation accounting. Evaluation
  • 8. Co-integration Analysis and Error Correction Model • The long-run equilibrium, according to the theory of law of one price (LOP), is specified as: Pi t = β1 + β2Pj t + εt (1) • If εt is stationary and β2 is unity, then the markets are completely integrated. • In the study, equation 1 was modified to include • variables found or assumed to influence market integration • natural logarithms within VA framework • transaction costs (TC).
  • 9. Co-integration Analysis and Error Correction Model Cont’d…. ln å ln - å ln ln 2 p i =b + a p + h p i +b TC +e t t - l t t n l l n i j i t i = = 1 1 1 (2) If co-integration is established, the relationship can be expressed in an ECM which depicts the process of adaptation in the short run. Johansen Co-integration test was conducted. To determine the number of co-integrating relations in the system, the study invoked the Johansen Trace test and Maximum Eigenvalue. Failure to accept the null hypothesis of no co-integration ln å ln å ln ln 1 i t D p = b + a D p + q D p + l c +f TC +n - i t t j t l q l l i t l q l l = - = 1 1 1 confirmed the need to re-specify equation 2 as a VECM as in equation 3 below: (3)
  • 10. Co-integration Analysis and Error Correction Model Cont’d…. • To appreciate the impact of transaction costs, equation 2 and 3 were estimated with and without transaction costs. • The Granger causality test was conducted to determine the direction of price adjustment. • Wald F-test was conducted for linear restrictions to find out if one market’s lagged prices and transaction costs jointly contribute to predictability of maize prices in another market.
  • 11. RESULTS AND INTEPRETATION Cont’d… • Johansen Co-integration Test Results • 9 market pairs had 1 co-integrating relationship • 6 market pairs had no co-integrating relationships • Out of 5 market pairs involving Ntchisi, 4 indicate the absence of a long-run relationship • Out of 5 pairs involving Chitipa, 3 are not integrated. • a VEC model (equation 3) with 1 co-integrating relationship was estimated for the 9 co-integrated market. • a VAR model (equation 2) was estimated for the market pairs without cointegrating relationships.
  • 12. RESULTS AND INTEPRETATION Cont’d… • Impact of Transaction Costs • have a significant impact on market integration, especially on equations involving the border markets and those markets with poor road network. • short-run speed of adjustment between market pairs ranges from 10 percent to 72 percent if transaction costs are considered and 21 percent to 66 percent when transaction costs are not considered. • Government policies, licensing procedures, delays in accessing price information and capacity constraints pertaining to storage are important factors to consider.
  • 13. RESULTS AND INTEPRETATION Cont’d… • Granger Causality Tests • No market is causing all other markets without being caused by any of them. • However, Muloza and Limbe seem to granger cause 5 and 4 other markets, respectively and, therefore, can be good markets for policy intervention. • Lilongwe seems to be a major supplier of maize to all three regions because it is Granger caused by Mzuzu, Ntchisi, Limbe and Muloza.
  • 14. CONCLUSION AND POLICY IMPLICATIONS • Short run integration is very low implying that it takes a longer period for maize markets to respond to localized shocks. • Policy makers should consider market infrastructure development as a key priority to ensure linkages of maize markets. • Maize marketing in Malawi is complex and dynamic hence the need to continuously study it.
  • 15. END OF PRESENTATION THANK YOU FOR YOUR ATTENTION!!!