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Transcript of The Effects of Exchange Rate and Commodity Price ...
The Effects of Exchange Rate and Commodity Price Volatilities on Trade Volumes of Major Agricultural Commodities
by
A K Iftekharul Haque
A Thesis
presented to
The University of Guelph
In partial fulfillment of requirements
for the degree of
Master of Science
in
Food, Agricultural and Resource Economics
Guelph, Ontario, Canada
© A K Iftekharul Haque, September 2012
ABSTRACT
The Effects of Exchange Rate and Commodity Price Volatilities on
Trade Volumes of Major Agricultural Commodities
A K Iftekharul Haque
University of Guelph, 2012
Advisor:
Professor Getu Hailu
This thesis examines the effects of price and exchange rate volatilities on the volume of
trade corn, soybean, wheat and rice. Empirical results indicate that price volatility and
exchange rate volatilities do not have effects on Canada’s export of wheat and soybean,
and Canada’s import of corn and rice. This thesis also examined the effects of exchange
rate and commodity price volatilities on developed countries’ trade and developing
countries’ trade separately. Results show that trade between developing countries is more
sensitive to exchange rate and commodity price volatilities than trade between developed
countries.
iii
Acknowledgements
I would first like to thank my advisor, Dr. Getu Hailu, for countless reasons. His
mentorship, continuous support and extreme level of patience throughout my research
have been sources of encouragement for my professional and personal development. I
would like to thank Professor Karl Meilke for agreeing to be in my advisory committee
even after his retirement. I undoubtedly benefited from his vast knowledge of
international trade policy. I am grateful to Professor Alan Ker, another member of my
advisory committee, not only for his invaluable guidance but also taking care of all other
issues of mine during my stay at the Department of Food, Agricultural and Resource
Economies. I would also like to thank all the faculty members and staffs of the
Department of Food, Agricultural and Resource Economics, for guidance throughout the
coursework and completion of my thesis.
My sincere gratitude goes to the Canadian Agricultural Trade Policy and
Competitiveness Research Network (CATPRN) for providing me with the finances
necessary for this research.
I would also like to thank my peer group for their continuous support to my work.
Notably Xin Xie, Rebecka Elskamp, Alex Cairns, Rob Anderson, Zongyuan Shang,
Johanna Wilkes, Tor Tolhurst and Di Ai for their valuable advice, support and criticism.
I would like to thank my parents for their unconditional love; and my wife, Tasnuva, for
her extreme patience and encouragement to my work. Finally I must thank my son,
Shoummo, for being a source of joy and happiness.
iv
Table of Contents
ACKNOWLEDGEMENTS III
TABLE OF CONTENTS IV
LIST OF TABLES VI
LIST OF FIGURES VII
CHAPTER 1: INTRODUCTION 1
1.1: Background 1
1.2 Economic Problem 3
1.3 Economic Research Problem 3
1.4 Purpose and Objectives 5
CHAPTER 2: RECENT TRENDS OF EXCHANGE RATES AND COMMODITY PRICES 6
2.1 Exchange Rate Volatility 6
2.2 Agricultural Commodity Price Volatility 8
2.3 Drivers of Agricultural Commodity Price Volatilities 13
2.4. Chapter Summary 20
CHAPTER 3: LITERATURE REVIEW 21
3.1: Effects of Exchange Rate Volatilities: Theoretical Background 21
3.2 Measuring Exchange Rate and Price Volatilities 22
3.3 Empirical Literature: Exchange rate Volatility and Trade 24
3.4 Empirical Literature: Exchange Rate Volatility and Agricultural Trade 26
3.5 Chapter summary 28
CHAPTER 4: CONCEPTUAL FRAMEWORK 29
4.1 Model Description 29
v
4.2 Import Demand 29
4.3 Chapter Summary 33
CHAPTER 5: EMPIRICAL FRAMEWORK 34
5.1 Econometric specification 34
5.2 Variable Description 35
5.3 Data and sources 40
5.4 Model Selection 44
5.5 Diagnostics: Tests for Unit root, Heteroscedasticity, Serial Correlation and Multicollinearity 47
5.6 Chapter Summary 49
CHAPTER 6: RESULTS AND DISCUSSIONS 50
6.1 Introduction 50 6.2.1 Quarterly Imports of Wheat and Soybean from Canada 50 6.2.2. Quarterly import models of corn and rice 56
6.3 Annual Models 62 6.3.1 Top developed importers’ imports from Developed exporters 62 6.3.2 Top developing importers’ imports from developing exporters 69
6.4 Chapter Summary 75
CHAPTER 7: SUMMARY AND CONCLUSION 76
7.1 Summary 76
7.2 Policy implications 79
7.3 Limitations and further research 81
7.4 Research Contribution 82
REFERENCES 83
APPENDIX A 87
APPENDIX B 89
vi
List of Tables
Table 2.1: Evolution of Exchange rate Arrangements, 1996-2007 7
Table 5.1: Summary of export and import data for quarterly models 41
Table 5.2: Summary of import data for annual models 41
Table 5.3: Summery of Data Frequency and Sources for exchange rate, GDP prices 42
Table 5.4: List of Countries for Quarterly Models 42
Table 5.5: List of importing countries considered for annual models 43
Table 6.1: Fisher’s unit root test for wheat and soybean 51
Table 6.2: VIF for wheat and soybean model 53
Table 6.3: Coefficient estimates of quarterly wheat and soybean imports from
Canada from 2000 to 2009 55
Table 6.3a : Coefficient estimates of quarterly wheat and soybean imports from
Canada from 2000 to 2009 (without expected price variable) 56
Table 6.4: Fisher’s unit root test for corn and rice model 57
Table 6.5: VIF for corn and rice model 59
Table 6.6: Coefficient estimates of Canada’s corn and rice import demand from
2000-2009 60
Table 6.7: Coefficient estimates of Canada’s corn and rice import demand from
2000-2009 (without percentage change of expected price) 61
Table 6.8: Fisher’s panel Unit Root Test 63
Table 6.9: Hausman Specification tests 64
Table 6.10: Friedman’s test for cross sectional independence 64
Table 6.11: Variance Inflation Factors 65
Table 6.12 : Wooldridge test for serial correlation 65
6.13: Coefficients estimates of developed countries’ wheat, soybean, corn and rice
imports from developed importers from 1991 to 2009 67
6.13a: Coefficients estimates of developed countries’ wheat, soybean, corn and rice
imports from developed countries from 1991 to 2009 (without percentage change of
expected price) 68
Table 6.14: Fisher’s panel Unit Root Test 69
Table 6.15: Hausman’s Specification tests 70
Table 6.16: Friedman’s test for cross-sectional independence 71
Table 6.17: Variance Inflation Factors 71
Table 6.18 : Wooldridge test for serial correlation 72
6.19: Coefficient estimates of developing importers’ imports of wheat, soybean,
corn and rice from developing exporters from 1991 to 2009 73
6.20: Coefficient estimates of developing importers’ imports of wheat, soybean,
corn and rice from developing exporters from 1991 to 2009 (without percentage
change of expected price) 74
vii
List of Figures
Figure 2.1: Exchange Rate movements of major currencies 7
Figure 2.2a: Monthly Corn price (F.O.B) in selected market from January 2000
(USD/Ton) 8
Figure 2.2b: Historical volatility of corn price 9
Figure 2.3a: Monthly wheat price (F.O.B) in selected market from January 2000
(USD/Ton) 10
Figure 2.3b: Historical volatility of wheat price 10
Figure 2.4a: US Soybean monthly F.O.B. Price from January 2000 11
Figure 2.4b: Historical volatility of soybean price 11
Figure 2.5a: Monthly rice price (F.O.B) in selected market from January 2000 to
January 2012 (USD/Ton) 12
Figure 2.5b: Historical volatility of rice price 12
Figure 2.6: Global Ethanol Production (in million Gallons) 14
Figure 2.7 : Share of US Corn used to produced ethanol, 1980-2011 14
Figure 2.8: Monthly Volume of Future Trades of Wheat, Maize and Soybeans at
Chicago Board of Trade (CBOT) 15
Figure 2.9: Per Capita Income Level by Developing Region 17
Figure 2.10: GDP Per Capita of India and China (Constant US Dollar) 17
Figure 2.11 a: Major Exporters of Maize in 2008 18
Figure 2.11 b: Major Exporters of Wheat in 2008 18
Figure 2.11 c: Major Exporters of Rice in 2008 19
Figure 2.12: Stocks to cereal use ratio 20
1
Chapter 1: Introduction
1.1: Background
Agricultural commodity price and exchange rate volatilities drew a global attention
because of their potential effects on international trade and domestic food prices.
Although the effects of exchange rate volatilities on international agricultural trade have
been examined for long time, the effects of price volatilities have not been examined at
large. Most of the recent studies (IFPRI, 2011,; Braun and Tadesse, 2012; Weersink et al
2008; OECD and FAO, 2012 ) on commodity price volatilities reviewed the reasons for
agricultural commodity price volatility. The purpose of this study is to examine the
effects of both exchange rate and commodity price volatilities on international
agricultural commodity trade and to estimate the effects of volatilities on developed and
developing countries separately.
Effects of exchange rate volatilities on trade flows became a center of interest
from early 1970 when a floating exchange rate regime began to replace the former fixed
exchange rate regime. The floating exchange rate system allows the value of a currency
to fluctuate based on the foreign exchange market fundamentals. Smith’s (1999) review
show that a number of studies were conducted to determine the impact of exchange rate
volatilities on trade flows, and find that the empirical evidence is mixed. For example,
Cushman (1983), Thursby and Thursby (1987) and Bini-Smaghi (1991) find that an
increase in exchange rate volatility leads to a reduction in the volume of international
trade. In contrast, Frankel and Wei (1995) and Sercu and Uppal (2003) claim that
exchange rate volatilities may not have any effect on the volume of international trade.
2
While the effect of exchange rate volatility is still uncertain, agricultural commodity price
volatility has recently received much attention after the unprecedented spike in crop
prices and volatilities that occurred in 2007-08. The rise in the level of commodity prices
and volatilities resulted in a number of countries adopting policies that restricted food
imports and exports (IFPRI, 2011).
Commodity price volatility may have implications for the volume of agricultural
commodity trade when individual countries adopt policies that restrict imports or exports
(e.g., export bans) as a method of coping with price variations. Although the
consequences of exchange rate volatility on trade have extensively been examined and at
the centre of debate, research on the effects of commodity price volatility on international
trade (e.g., on volume) is limited. Volatility in the world market prices can have major
effects on agricultural trade since agricultural products and agricultural industry have
many characteristics, such as perishable nature of products and less supply
responsiveness to short term price fluctuation that distinguished them from other
industries. Uncertainty in the world agricultural market has a greater impact on farm income
in both developed and developing countries (Koo and Kennedy, 2007) and food security in
developing and low income countries (IFPRI, 2011).
In this study, I examine the effects of price and exchange rate volatilities on Canada’s
trade with its major trading partners using quarterly data for wheat, soybean, corn and
rice, and examine the effects of exchange rate and price volatilities on developed and
developing countries’ trade separately with annual models.
3
1.2 Economic Problem
Increased volatilities of exchange rate and commodity prices increase uncertainties over
expected profit of firms (Hooper and Kohlhagen, 1978; Clark, 1973; IFPRI. 2011). Clark
(1973) argues that exporting firms reduce exports and charge higher price as risk
premium when they expect such uncertainties over profit. The rise in price due to the risk
premium directly affects consumers’ surplus (Bellemare et al. 2011). When importers
decrease imports due to volatilities of exchange rate and commodity prices, excess
demand decreases in international market and reduces the price of commodities in the
international market which affects producers’ surplus of exporting countries. As a result,
both consumers and producers in countries engaged in agricultural trade can be affected
because of volatilities in exchange rate and commodity prices. The findings of this
research will be useful for agricultural trading firms of both developed and low income
countries; and central banks and trade ministries of low income countries.
1.3 Economic Research Problem
A number of studies examined the effects of exchange rate volatilities on commodity
trade flows using aggregate data1 (Akhtar and Hilton, 1984; Arize, 1995; Arize, 199;
Arize and Ghosh, 1997; Bahmani-Osookee, 2002; Chowdhury, 1993; Gotur 1985) and
bilateral trade data (Bini-Smaghi, 1991; Cushman, 1983; Dell’ Ariccia, 1999; Hooper and
Kohlhagen, 1978; McKenzie and Brooks, 1997; Thursby and Thursby; 1997). Most of
these studies examined the effect of exchange rate volatility on overall trade flows (i.e.,
1 measures the trade flow of a nation to all of its trading partners or to the rest of the world
4
total of trade in all sectors) rather than trade flows of a specific sector (e.g., agriculture)
or specific commodity (e.g., wheat, corn). Sector specific studies mostly attempted to
estimate the effects of exchange rate volatilities on trade of manufacturing goods (Di Vita
and Abott, 2004; Klein, 1990; Maskus, 1986; Belanger et al. 1992, Chou, 2000). Only a
few studies estimated the effects exchange rate volatilities on agricultural commodity
trade flows (Cho et al. 2002, Sun et al. 2002, Kandilov, 2008; Giorgioni and Thompso,
2002, Villanueva and Sarker 2009). However, most of these studies (Cho et al 2002,
Kandilov 2008; Giorgioni and Thompson, 2002) used aggregated agricultural commodity
trade data of countries. Research on the effects of exchange rate volatility on specific
agricultural commodities is limited.
Meanwhile, research on the effects of commodity price volatilities on trade flows
is also limited. Despite a few recent studies (Raddatz, 2011; FAO et al. 2011; Weersink
et al. 2008, Wright, 2011) that a reviewed the effects of food price volatilities on food
security, the effects of commodity price volatilities on trade flows remain unaddressed.
Zhang (2010) is one of the first studies to examine the effects of exchange rate, price and
freight cost volatilities on the U.S. soybean exports.
This study explores the effects of both price and exchange rate volatilities on
Canada’s wheat, corn, soybeans and rice trade using quarterly data for the period 1999:1-
2010:4. It also examines the effects of exchange rate and commodity price volatilities on
import demand of major developed and developing importers of wheat, soybean, corn
and rice.
5
1.4 Purpose and Objectives
The purpose of this research is to estimate the effect of commodity price and exchange
rate volatilities on Canada’s trade flows of wheat, corn, soybeans and rice.
The specific objectives are:
1. To estimate the effect of exchange rate and agricultural commodity price
volatilities on Canada’s exports of wheat and soybean; and Canada’s imports of
corn and rice.
2. To examine the effects of commodity price and exchange rate volatilities on the
agricultural commodity imports of developed and developing countries
separately.
After this brief introduction, chapter 2 presents recent trends of exchange rates
and commodity prices, chapter 3 reviews the key literature, chapter 4 discusses the
theoretical framework, chapter 5 presents the empirical framework of the study, chapter 6
provides the estimates of parameters of the regression models and finally chapter 7
provides summaries and conclusions.
6
Chapter 2: Recent Trends of Exchange Rates and Commodity Prices
2.1 Exchange Rate Volatility
From the early 1970s a floating exchange rate regime began to replace the former fixed
exchange rate regime which was also known as Bretton Wood System. Most of the
developing countries continued to peg their currencies either to a single important
currency, e.g., the U.S. Dollar, or to a basket of currencies. For example, in 1975, 87%
of the developing countries had some types of fixed exchange rate system. Later,
countries gradually moved from fixed to a floating exchange rate regime (see Table 2.1).
Appendix A provides a more detailed list of countries according to their exchange rate
system.
In a floating exchange rate system, exchange rates are determined by the demand
and supply of currencies in the foreign exchange market. At the beginning of the floating
exchange rate regime, exchange rates of major currencies experienced increased
fluctuations (Clark 2004). The fluctuations of major currencies under floating exchange
rate system made researchers and policy makers concerned about its potential effect on
international trade.
Figure 2.1 Shows the exchange rates of major currencies over the last four
decades. It is obvious from Figure 2.1 that key currencies of the world became unstable
after the adoption of floating exchange rate regime.
7
Table 2.1: The Evolution of Exchange rate Arrangements, 1996-2007
Year
Fixed Arrangements
(Number of Countries)
Floating Arrangements
(Number of Countries)
Total Number of
Countries
1996 124 60 184
2001 93 93 186
2002 95 92 187
2003 94 93 187
2004 94 93 187
2005 98 89 187
2006 105 82 187
2007 105 83 188
Source: IMF (2007)
Note: End of period data.
Figure 2.1: Exchange Rate movements of major currencies
CAD/USD
0.5
0.7
0.9
1.1
1.3
1.5
1.7
Jan-7
1
Dec-
72
Nov-
74
Oct
-76
Sep-7
8
Aug-80
Jul-8
2
Jun-8
4
May-
86
Apr-88
Mar
-90
Feb-9
2
Jan-9
4
Dec-
95
Nov-
97
Oct
-99
Sep-0
1
Aug-03
Jul-0
5
Jun-0
7
May-
09
Apr-11
CAD/EUR
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
Jan-9
9
Sep-99
May-0
0
Jan-0
1
Sep-01
May-0
2
Jan-0
3
Sep-03
May-
04
Jan-0
5
Sep-05
May-0
6
Jan-0
7
Sep-07
May-0
8
Jan-0
9
Sep-09
May-1
0
Jan-1
1
Sep-11
May-1
2
1
1.5
2
2.5
3
Jan
-71
Jan
-73
Jan
-75
Jan
-77
Jan
-79
Jan
-81
Jan
-83
Jan
-85
Jan
-87
Jan
-89
Jan
-91
Jan
-93
Jan
-95
Jan
-97
Jan
-99
Jan
-01
Jan
-03
Jan
-05
Jan
-07
Jan
-09
Jan
-11
CAD/GBP
0.5
1
1.5
2
2.5
3
Jan
-71
Jan
-73
Jan
-75
Jan
-77
Jan
-79
Jan
-81
Jan
-83
Jan
-85
Jan
-87
Jan
-89
Jan
-91
Jan
-93
Jan
-95
Jan
-97
Jan
-99
Jan
-01
Jan
-03
Jan
-05
Jan
-07
Jan
-09
Jan
-11
USD/GBP
Source: Thompsons-Reuters Datastream
8
2.2 Agricultural Commodity Price Volatility
Agricultural commodity price volatility drew much attention of economists, policymakers
and media since the food price hike of 2007-2008(IFPRI, 2011). The food price upheaval
experienced in 2007-08 was not observed since the early 1970s (Weersink et al. 2008).
Although the food price hike of 2007-08 and the most recent in 2011 were below the
historical highest of 1970s, price volatility reached its highest level in the past 50 years
(IFPRI, 2011). This section briefly reviews the price fluctuations of major agricultural
commodities over the last decade for four major agricultural commodities- corn, wheat,
soybean and rice.
Corn
The food price crisis in 2007-08 began with a sharp rise in price of corn among the major
agricultural commodities. Figure 2.2a shows that the level of corn price of major
exporters started to rise from June 2006 and reached the peak in July 2008. It began to
decrease after July 2008 and again reached a new peak in mid-June, 2011. Figure 2.2b
suggests that corn price volatility also increased dramatically in 2007 and higher
volatilities continued.
Figure 2.2a: Monthly Corn price (F.O.B) in selected market from January 2000
(USD/Ton)
Source: FAO GIEWS Database
9
Figure 2.2b: Historical volatility of corn price
0
5
10
15
20
25
30
35
40
45
1991 1993 1995 1997 1999 2001 2003 2005 2007 2009 2011
His
tori
cal
Vo
lati
lity
(%
)
Corn price volatiltiy
Source: CME group
Wheat
Wheat Prices quoted by the major international suppliers also became volatile from mid-
2007 (Figure 2.3b). From June 2006 wheat price in all major international markets
started to increase and reached to record high level at 450 USD per ton in March 2008.
Then it started to fall until December 2008 and went through a volatile period until it
reached USD 350 per tom in March 2011 (Figure 2.3a). Figure 2.3b shows the volatility
of wheat price over last two decades. The figure reports that wheat price volatility began
to increase from 2006. From 2007 to 2008, historical volatility of wheat price increased
from 32.4% to 50.6%. Although it came down to 35% in 2010, it began to increased
again in 2011.
10
Figure 2.3a: Monthly wheat price (F.O.B) in selected market from January 2000
(USD/Ton)
0
100
200
300
400
500
600
Jun-
00
Jan-
01
Aug-
01
Mar
-02
Oct
-02
May
-03
Dec-
03
Jul-0
4
Feb-
05
Sep-
05
Apr-
06
Nov
-06
Jun-
07
Jan-
08
Aug-
08
Mar
-09
Oct
-09
May
-10
Dec-
10
Jul-1
1
Feb-
12
Argentina USA (no.2 red soft) USA (no.2 red hard
Source: FAO GIEWS Database
Figure 2.3b: Historical volatility of wheat price
0
10
20
30
40
50
60
1991 1993 1995 1997 1999 2001 2003 2005 2007 2009 2011
His
tori
cal
Vo
lati
lity
(%)
Wheat price volatility
Source: CME group
Soybean
Soybean price began to rise slightly from fall 2006 but did not rise to the extent of corn
price. It showed an upward trend from May 2007 and peaked at the level of 550USD/ton
in June 2008 (Figure 2.4a). Soybean price volatility reported in figure 2.4b shows that
like other major crops soybean price volatility also increased after 2006.
11
Weersink et al. (2008) report that the record high price of soybean was a spillover from
the surge in corn price. The soybean price rise can also be attributed to the surge in
demands of edible oil and reduction of soybean harvest. This decline of soybean
production was not due to bad weather condition rather largely to decline in planted area
in US as farmers shifted to corn from soybean. Volatility reached the peak in 2009 and
then it began to come down (figure 2.4b).
Figure 2.4a: US Soybean monthly F.O.B. Price from January 2000
100150200250300350400450500550600
2000M
11
2001M
04
2001M
09
2002M
02
2002M
07
2002M
12
2003M
05
2003M
10
2004M
03
2004M
08
2005M
01
2005M
06
2005M
11
2006M
04
2006M
09
2007M
02
2007M
07
2007M
12
2008M
05
2008M
10
2009M
03
2009M
08
2010M
01
2010M
06
2010M
11
2011M
04
2011M
09
US Soybean Price
Source: FAO GIEWS Database
Figure 2.4b: Historical volatility of soybean price
0
5
10
15
20
25
30
35
40
45
1991 1993 1995 1997 1999 2001 2003 2005 2007 2009 2011
Soybean price volatility
Source: CME group
12
Rice Price hike of rice started little later compared to other agricultural commodities. Rice
prices in major international sources were somewhat stable until the beginning of 2007.
Then it shows a slightly upward trend until the beginning g of 2008 and jumped to USD
1000 per ton in mid-2008 (Figure 2.5a). Figure 2.5b shows that rice price volatility was
low until 2007. Between 2007 and 2008 volatility increased from 16% to 34%. It came
down to 20% in 2009 but started to rise again after 2010.
Figure 2.5a: Monthly rice price (F.O.B) in selected market from January 2000 to
January 2012 (USD/Ton)
0
200
400
600
800
1000
1200
1400
Jan-
00
Sep-
00
May
-01
Jan-
02
Sep-
02
May
-03
Jan-
04
Sep-
04
May
-05
Jan-
06
Sep-
06
May
-07
Jan-
08
Sep-
08
May
-09
Jan-
10
Sep-
10
May
-11
Jan-
12
Pakistan - Rice (25% broken) - Export
Thailand: Bangkok - Rice (Thai 100% B)
USA - Rice (U.S. California Medium Grain)
Source: FAO GIEWS Database
Figure 2.5b: Historical volatility of rice price
0
5
10
15
20
25
30
35
40
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
His
tori
cal
vo
lati
lity
(%
)
Rice price volatility
Source: CME group
13
2.3 Drivers of Agricultural Commodity Price Volatilities
This section briefly discusses the reasons of recent agricultural commodity price
volatilities from the recent literature.
Biofuel Policies
World ethanol production skyrocketed in the last decade from around 2000 million
gallons in 2001 to more than 13000 gallon in 2010 because of the subsidization and
biofuel mandates set by the United States and European Union (Figure 2.6). The primary
motivation for biofuel support is that biofuels will reduce demand for imported oil. To
comply with the mandate and support, farmers switched to production of biofuel crops ,
most of which are also used as food or feed. Figure 2.7 shows that in recent years more
than 40 % of US maize is used for ethanol production. Moreover, input demand for
biofuel crops increased recent years which contributed to the overall increase of cost of
agricultural inputs (IFPRI, 2011).
Production of biofuel crops strengthens the links between two highly volatile
markets- energy market and food market (IFPRI, 2011). Since ethanol is the substitute of
fuel, when the price of one barrel of fuel increases, the demand for ethanol, a substitute
product of fuel, also increases. This eventually increases the demand and consequentially
the price for corn (Weersink et al. 2008).
14
Figure 2.6: Global Ethanol Production (in million Gallons)
-
2,000
4,000
6,000
8,000
10,000
12,000
14,000
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
Ethanol Production (million gallons)
Source: US Department of Energy
Figure 2.7 : Share of US Corn used to produced ethanol, 1980-2011
0.00
10.00
20.00
30.00
40.00
50.00
1980
1982
1984
1986
1988
1990
1992
1994
1996
1998
2000
2002
2004
2006
2008
2010
% of Corn used for Ethanol
Source: US Department of Energy
Speculation
Agricultural Commodity Future Trading was identified as one of the drivers of recent
volatility in agricultural commodity markets (IFPRI, 2011). After 2005, monthly volume
of futures trading of wheat, soybean and maize increased dramatically (Figure 2.8).
Futures trading for all three mentioned agricultural commodities continued to rise during
2010-11 also. IFPRI (2011) reports that although investors have increased their trading of
15
food commodity futures, only two per cent of these futures contract have resulted in
delivery of real goods. For example, the volume of futures traded on exchange worldwide
for maize is more than three times greater than the global production of maize.
Commodity index fund have became attractive for the investors as investment fund
flowed from the equity market, to real estate and now to the commodity markets. This
pattern of increasing agricultural commodity futures trading and higher prices for
commodity futures can worsen the volatility of spot prices for food commodities to
excessive levels (IFPRI, 2011).
Figure 2.8: Monthly Volume of Future Trades of Wheat, Maize and Soybeans at
Chicago Board of Trade (CBOT)
Source: IFPRI (2011)
Speculative behavior by governments (i.e., export bans, large stock orders) has also
played a role in increasing the volatility in agricultural commodity market. A number of
countries adopted supply restraint policies at the beginning of the high price volatilities in
2007. For example, rice export was banned by India, Vietnam, Egypt and Cambodia; and
Argentina and Ukraine banned export of wheat. This supply cut from the major suppliers
in the global grain market fueled the price volatilities of agricultural commodities even
more.
16
Aside from supply restraint policies, foreign buyers started to stockpile food
grains in response to food crisis and riots. Countries started to order for larger orders
rather than purchase one or two month’s supply at a time regardless of price and scarcity
of food grain (Weersink et al. 2008). This kind of speculative purchasing has also
contributed to price spike and volatilities in agricultural commodity market (BIAC,
2011).
Demand from Developing Countries
In recent years, several developing countries experienced rapid economic growth . As a
result of per capita income increase (Figure 2.9), consumers of developing countries are
enjoying more purchasing power which ultimately results in increased demand of
commodities.
Figure 2.10 shows the dramatic increase of per capita GDP in China and India.
Because of Spectacular economic growth in developing countries a big portion of their
population came out of poverty and demanding more grains. On the other hand, because
of the increased income, middle and upper income population of those countries shifted
their demand from grain to other high valued commodities such as meat, dairy, fruits,
vegetables and fish. The rise in demand for meat, in turn, boosts the demand for grains to
feed animals (Weersink et al 2008). As a result, it contributes to increase of food price.
17
Figure 2.9: Per Capita Income Level by Developing Region
0
500
1000
1500
2000
2500
3000
3500
Sub-Saharan
Africa
Middle East and
North Africa
Southeast Asia South Asia East Asia
1995 2020
Source: IFPRI Impact Simulation
Figure 2.10: GDP Per Capita of India and China (Constant US Dollar)
0
500
1000
1500
2000
2500
3000
1970 1975 1980 1985 1990 1995 2000 2005 2010
China
India
Source: WDI Database
Climatic Factors
Climate factors also contributed to the price volatilities in 2007-08 and again 2010.
Export markets for major agricultural commodities are highly concentrated. For example,
in 2008, 84% of maize was exported by only 5 countries, top five exporters of wheat
18
exported 63% of total wheat exports and 85% export share of milled rice were held by
top 5 rice exporters (Figure 2.11a, 2.11b and 2.11c). Because of this high level of
concentration, the world’s capacity to cope with shocks became limited (IFPRI, 2008).
Any incidence of poor weather in the major exporting countries or other types of
production shocks immediately affect the international price and price volatilities. For
example, wheat crop failure due to drought in Australia in 2008 and Russian federation in
2010 brought strong market reaction and soaring price.
Figure 2.11 a: Major Exporters of Maize in 2008
US
53%
Argentina
15%
Brazil
6%
France
6%
India
4%
ROW
16%
US
Argentina
Brazil
France
India
Others
Source: FAOSATAT Database
Figure 2.11 b: Major Exporters of Wheat in 2008
19
US
23%
France
12%
Canada
12%
Russian
Federation
9%
Argentina
7%
ROW
37%
US
France
Canada
Russian Federation
Argentina
Others
Source: FAOSATAT Database
Figure 2.11 c: Major Exporters of Rice in 2008
Thailand
37%
Vietnam
20%
Pakistan
11%
India
10%
US
7%
ROW
15%Thailand
Vietnam
Pakistan
India
US
Others
Source: FAOSATAT Database
Stocks of Cereals
Global stocks of cereal, measured as stocks to cereal use, came down to historically low
level in 2007-08 and from then it always remains around 21 whereas before 2003-04 it
used to remain more than 30. IFPRI (2011) reports that stock to use ratios of wheat were
always low during the price spikes in of wheat in the 1970s, 1995-96, 2007-08 and 2010-
20
11. The current level of stocks to cereal use made the cereal market very vulnerable to
any shock. A small dip in grain stocks may lead to major volatility in world cereal
market. Wright (2012) argues that when stocks are already tight a minor shock can have
major consequences on prices of agricultural commodities.
Figure 2.12: Stocks to cereal use ratio
15.0
17.0
19.0
21.0
23.0
25.0
27.0
2002/03 2003/04 2004/05 2005/06 2006/07 2007/08 2008/09 2009/10 2010/11 2011/12 2012/13
Source: FAO Cereal Supply and Demand Brief
2.4. Chapter Summary
This chapter provides a brief overview of the recent trend of exchange rate of major
currencies, price of major agricultural commodities and their volatilities. The descriptive
statistics presented in this chapter suggests that volatilities of both exchange rate and
commodity price increased in recent years. Therefore, it is important to investigate their
effects on agricultural commodity trade. The next chapter provides a review of key
literature on effects of exchange rate volatility and commodity price volatility on
international trade.
21
Chapter 3: Literature Review
3.1: Effects of Exchange Rate Volatilities: Theoretical Background
Attention to exchange rate volatilities was first drawn after switching of the major
currencies of the world to a floating exchange rate system from the previous fixed regime
in 1973. Early theoretical contribution (Ethier, 1973) on effects of exchange rate
volatilities on trade flows asserts that exchange rate volatilities have a negative effect on
volume of trade if traders do not have idea about how exchange rate volatilities will
affect their expected profit.
Clark (1973) argued that exposure to exchange rate volatility creates risk over
firms’ profit and to insulate themselves from uncertainty over profit due to exchange rate
volatilities firms tend to reduce trade. A competitive firm (i) with no market power , (ii)
producing only one commodity which is sold entirely to one foreign market, (iii)
receiving payments in foreign currency, (iv) operating in a condition where hedging
through forward sales of the foreign currency export sales is not possible; and (v) unable
to alter its output in response to favorable or unfavorable shifts in the profitability of its
exports arising from movements in the exchange rate is adversely affected by greater
volatility in the exchange rate. This leads to a reduction in output, and hence in exports,
in order to reduce the exposure to risk (Clark, 1973).
However, in the presence of hedging possibility, the effect of exchange rate
volatility largely depends on the firm’s response to risk and uncertainty. If traders are risk
averse, an increase in exchange risk will unambiguously reduce the volume of trade
whether the risk is borne by importers or exporters. It also depends on who bears the risk.
22
If importers bear the risk, the price will fall as import demand falls, whereas if exporters
bear the risk, the price will raise as exporters charge an increasingly higher risk premium
(Hooper and Kohlhagen, 1978). With an inelastic supply (marginal cost) curve, a shift of
aggregate import demand (and thus marginal revenue) to the left caused by an increase in
exchange risk to the importer, will result in a relatively large drop in price and a
relatively small drop in quantity. If exporters bear the risk and face inelastic demand for
their output, an increase in exchange risk will shift their supply to the left and induce a
relatively large increase in price and a small decrease in quantity.
Exposure of unforeseen movements in exchange rate is low in advanced
economies where well developed forward market exists, i.e. a specific transaction can be
easily hedged (IMF, 2004). However, such markets do not exist for the currencies of
most developing and low income countries.
Opposite view of the effects of exchange rate volatilities on trade flows is also
available in literature. Increased exchange rate volatility positively affects the value of
exporting firms through the price and volume impacts of exchange rates, and also makes
an exporting strategy more attractive relative to the direct investment. As a result,
exchange rate volatility can be positively related to investment in export production
capacity (Sercu and Vanhulle, 1992).
3.2 Measuring Exchange Rate and Price Volatilities
The methods of measuring exchanged rate volatilities went through a process of
evolution in last three decades. However, still no single process dominates the
approximation of exchange rate volatilities. The most commonly use measure of
exchange rate volatilities are measure of variance. However the construction of the
23
measure of variance widely differed in from study to study (Bahmani-osokee and Hegerty
2007). Few approaches of measuring volatilities are historical volatility, implied
volatility, rolling window, within period volatility, moving standard deviation, General
Autoregressive Conditional Heteroskedasticity (GARCH) etc.
Here we will briefly discuss different measures of volatilities used in exchange
rate and trade related research in recent years.
The standard deviation of daily observations of the nominal exchange rate during
each three-month period was one of the first measures of exchange rate volatilities in
empirical literature (Akhter and Hilton, 1984). Later studies adopted the moving
standard deviation of the monthly change in the exchange rate to measure the exchange
rate volatilities (Kenen and Rodrik, 1986; Cushman, 1986; Chowdhury, 1993). This
method had some advantage over other contemporary methods for being stationary.
Autoregressive Conditional Heteroskedasticity (ARCH) became very popular in
measuring exchange rate volatilities afterwards. ARCH is a measure of volatility in time
series errors. ARCH models assume the variance of the current error term to be a function
of the actual sizes of the previous time periods' error terms. A number of studies (Arize et
al. 2005; Cho et al. 2002; McKenzie and Brooks, 1997) used ARCH process to measure
the exchange rate volatilities.
A further extension of ARCH process is Generalized Autoregressive Conditional
Heteroskedasticity (ARCH) which incorporates moving average process. GARCH
became popular in measuring exchange rate volatilities in recent years.
24
3.3 Empirical Literature: Exchange rate Volatility and Trade
The findings of empirical literature on the effect of exchange rate volatilities on trade
flows are mixed and not conclusive. This section briefly discusses the findings of some
empirical studies on this issue.
From the earlier empirical studies it was evident that exchange volatilities have a
negative impact on exports (Akhter and Hilton, 1984). The study used a polynomial
distributed lag method in their OLS estimate of the effects of exchange rate volatility on
trade flows. Their result confirms the theoretical assertion that exchange rate volatilities
reduce international trade. According to their model the export volume is a function of
foreign income, foreign capacity utilization and relative prices; and import volume is a
function of domestic income, the ratio of foreign to domestic capacity utilization, and
relative prices. They measure the using data for the USA and Germany; they estimated
their models using quarterly data over the period 1974-1981 and found that volatility had
a significantly negative effect on US imports, German exports and imports but no effect
on US exports.
However, the findings of the above study (Akhter and Hilton, 1984) were
challenged by a further study (Gotur, 1985) which used the same methodology as Akhter
and Hilton with certain modification. It included France, the UK and Japan in the model,
applied the Cochrane-Orcutt procedure to control for autocorrelation only when the
Durbin-Watson statistic calls for autocorrelation (Akhter and Hilton used it even in the
cases in which the problem was not even present ), changed the sample period under
investigation to account for lag structure and to incorporate the rate of change, rather than
the level, of the exchange rate. After these modifications she found that German exports
25
and imports have been negatively impacted, and Japanese exports are positively affected,
but the other seven trade flows were not affected.
However, both of the above mentioned studies suffer from spurious regression
problem because none of them accounted for integrating properties of variables
(Bahmani-Osokee and Hegerty, 2007).
A number of recent studies also found a negative relationship between exchange
rate volatilities and trade flows. For example, significant negative relationship between
real exchange rate volatility and export volume in short run and long run was found for
eight South American countries (Arize et al. 2008). By using Error Correction Model
Chou (2000) found significantly negative relationship between export volume and
volatility of real effective exchange rate (REER) for trade flows of industrial materials,
mineral and fuels; and manufactured good. However, the relation was not significant for
foodstuffs. Significant negative relationship was also found between exchange rate
volatilities and export supply for all the G7 countries and their partners for twenty one
industries (Peridy, 2003).
In contrast to the findings of the above mentioned studies, a positive relationship
between exchange rate volatilities and international trade flows was also found in few
empirical literature, mostly for bi-lateral trade (McKenzie and Brooks, 1997; Poon et al.
2005 ). While a number of studies found no significant effect of exchange rate volatilities
on trade flows (Kenen 1980, Thursby, 1980; IMF, 1984; Baily et al. 1986, Toneryo,
2004). As a result, the relationship between exchange rate volatilities and trade flows still
remain ambiguous.
26
The inconclusive relation between exchange rate volatilities and trade flows was
explained by the argument that exchange rate volatility is an ‘inadequate indicator’ of
price risk faced by firms since an increase in exchange rate volatilities may not
necessarily increase real domestic currency price volatilities (Smith, 1991).
Another explanation behind not getting any systematic relationship between
exchange rate volatilities and trade volume is undermining of a series of problems related
to the methods of estimation which might lead to imprecise statistical results (Bini-
Smaghi, 1997).
IMF (2004) observed that while exchange rate fluctuations have increased in
times of currency and balance of payments crises during the 1980s and 1990s, there has
not been any increase, on average, in such volatility between the 1970s and the 1990s. It
also found some empirical evidence of negative relationship between exchange rate
volatility and trade. However, such a negative relationship is not robust and It concludes
that if exchange rate volatility has a negative effect on trade, this effect would appear to
be fairly small and is not robust.
3.4 Empirical Literature: Exchange Rate Volatility and Agricultural Trade
Despite an extensive literature on effect of exchange rate volatility on overall trade, very
few studies (Cho et al. 2002; Kandilov, 2008; Zhang, 2010) explored the impact of
exchange rate and other volatilities on agricultural trade. Compared to the other sectors,
agriculture trade was found to be more sensitive to exchange rate uncertainties in
developed countries. Using a sample of bilateral trade flows across ten developed
countries (G 10 countries) Cho et al (2002) shows that the real exchange rate uncertainty
27
has had a significant negative effect on agricultural trade and the negative impact on
agricultural trade was more significant compare to the other sectors.
Agricultural exports from developing countries are much more vulnerable to
exchange rate volatilities compared to the exports from developed countries. Kandilov
(2008) found that the effect of exchange rate volatility is largest for developing country
exporters and smallest for developed exporters. Since developing countries do trade with
vehicle currency (US Dollar) only exchange rate volatility of the vehicle currency (U.S.
dollar), and not the exporter-importer currency, matters for developing country exporters
(Kandilov, 2008).
Villanueva and Sarker (2009) conducted a study to examine the effects of
exchange rate volatility on fresh tomato imports into the United States from Mexico.
They showed with the cointegration analysis that while changes in exchange rate have a
positive effect on trade flows, volatility of the exchange rate has a significant negative
effect on trade flows.
Although other volatilities (e.g. commodity price volatility and freight cost
volatility) may have much potential to affect international trade, only the effect of
exchange rate volatilities received much attention in the literature. Zhang et al (2010)
found that although commodity price and freight cost volatilities have no significant
impact on traded volume of soy bean between U.S. and Brazil, these two volatilities play
important roles in determining U.S. soy bean trade with China. The authors explained
that possibilities of hedging and market power are two important factors in determining
the effects of volatilities on trade.
28
3.5 Chapter summary
This chapter reviews the existing literature on the effects of exchange rate volatility and
commodity price volatility on international trade flows. Although a number of literature
exists on the effects of exchange rate on trade flows, literature on commodity price
volatilities on international trade is scarce. The next chapter presents the theoretical
framework used in this study.
29
Chapter 4: Conceptual Framework
4.1 Model Description
This study used Hooper and Kohlhagen’s (1978) trade model that derived the demand
and supply functions for individual firms and then aggregated to derive market demand
and supply to obtain reduced form equations for market equilibrium price and quantity.
Hooper and Kohlhagen developed the model for an individual firm importing a
commodity under exchange rate uncertainty. This study extends Hooper and kohlhagen’s
model by incorporating commodity price uncertainty into it. It is worth mentioning that
Zhang (2010) developed a model, based on Hopper and Kohlhagen’s model, which
included exchange rate, price and ocean freight cost uncertainties.
4.2 Import Demand
According to Hopper and Kohlhagen’s (1978) trade model, suppose a firm uses imported
commodity as inputs to produce final goods. The importer faces a linear demand
function for its output (Q), which is an increasing function of domestic income (Y), the
prices of substitutes (PD) and a decreasing function of its own price:
cYbPDaPQ ++= (4.1)
Following Hooper-Kohlhagen’s (1978) model, the model assumes a two period
framework where in the first period the firm receives orders for its domestic output and
places order for its imported input; and in the second period it receives the imported input
and pays for it and ships and gets paid for its own output. The firm sets the level of its
output to maximize its utility, which is an increasing function of its expected profits and a
30
decreasing function of the standard deviation of profits. The firm’s optimization problem
can be written as:
2/1))(()()(max πγππ VEUQ
−= (4.2)
where U is the total utility, π is profit, E is the expected value, V is the variance and γ is
the relative measure of risk preference where γ >0 implies risk aversion, γ =0 implies
risk neutrality and γ <0 represents risk loving.
The firm’s profit π in domestic currency can be formulated as:
π = Q * P(Q )−UC *Q − HM * iQ (4.3)
where Q is the amount of output, P is the domestic price per unit output faced by the firm,
UC is the unit cost of output, H is the weighted average cost of foreign exchange to the
importer, M is the cost of imported inputs, i is the fixed ratio of imports to total output.
If q is the quantity of imports needed to produce Q amount of output then q can be
defined as
iQq = (4.4)
In this study, I assume that the importer can hedge foreign exchange risk by purchasing
foreign exchange in advance and hedge commodity price in the future market. Suppose
the firm hedges a constant proportion (α ) in the forward market at the futures exchange
rate, ~
R ; the remain proportion (1-α ) of foreign exchange is purchased at the spot
exchange rate R. So, H can be defined as:
31
~
)1( RRH αα +−= (4.5)
~
P is the commodity future market price in foreign currency,
M=~
P (4.6)
By substituting Equations 5 and 6 into Equation 3, importer’s profit is obtained:
iQPRRQUCQPQ *])1[(*)(*~~
ααπ +−−−= (4.7)
In which Q0 denotes, ……….It is assumed that, in Equation 7, all the variable except
~
R and ~
p are known with certainty on the contract date. Thus, the variance in the
importing firm’s profit is:
2222~~~ )(].)1[()(PRp
iQiQRV σασαπ +−= (4.8)
where 2~
P
σ and 2
~`~
PR
σ are the variances of ~
P and~~
PR , respectively.
Substituting (8) into (2),
iQRiQPEHEQUCQQPUPRp
.])1[(.)()(.)( 2/122222~
~~~ γσασα +−−−−=
(4.9)
The first-order condition for equation with respect to output quantity (9) is:
0.])1[()()()()/(/ 2/122222~
~~~ =+−−−−+= iRiPEHEUCQPdQdPQdQdUPRp
γσασα
(4.10)
32
Substituting for dQdP / from Equation 1,
0.])1[()()()()/( 2/122222~
~~~ =+−−−−+ iRiPEHEUCQPaQPRp
γσασα (4.11)
Substituting iQq = from (4) into (11)
]])1[()()()[2/())(2/( 2/12222~
2
~~
~
PRP
RiPEHEaicYbPDaUCiq σασαγ +−++++=
(4.12)
Since 2
~~PR
σ = 2222~
22~
~~~~ )()(RPRP
PERE σσσσ ++ , (Bohrnstedt and Goldberger, 1969)
22~
222~~
2~~ )]([)1[()()]()1)[[(2/())(2/(PP
RERiPERERaicYbPDaUCiq σασαγαα +−++−+++=
]])]([ 22222~
2~~~
RPR
PE σσασα ++
(4.13)
If γ >0,
0}])]({[)1[()2/(/ 222~
2222~~ <++−=RP
RERaiddq σαααγσ (4.14)
and
])}([{)2/(/ 22~
222~~
pR
PEaiddq σγασ += <0
(4.15)
Therefore, from equation (14) and (15) it can be asserted that if the importers are risk
averse an increase in exchange rate or commodity price volatility will reduce the volume
of import. If the importers are risk neutral (γ =0), exchange rate or commodity price
33
volatility will not have any effect of import demand. In the case of risk-loving importers
(γ <0), an increase in exchange rate and commodity price volatility will increase the
import.
Assuming that all firms are homogenous2, firm level import demands can be summed into
the following aggregate import demand function.
(4.16)
4.3 Chapter Summary
This chapter discusses the theoretical framework used in this thesis. I used a modified
version of Hooper-Kohlhagen import demand model. Hooper and Kohlhagen (1978)
derived this model to show the effect of exchange rate volatility on imports. I
incorporated food price volatility to the original Hooper-Kohlhagen model and derived
the effects of exchange rate volatility and commodity price volatility on import demand.
2 The limitation of this assumption is that all firms may not have the same level of risk preference.
),,,)(),(,,,( ~~~~
~~
PRRP
d PEREYPDUCgQ σσσσ=
34
Chapter 5: Empirical Framework
5.1 Econometric specification
This study used panel data models to estimates the effects of exchange rate and
commodity price volatilities on trade flows using a panel data regression model.
In line with the modified Hooper-Kohlhagen model with price volatility presented in the
chapter 4, I used the following empirical model to estimate the effects of exchange rate
and commodity price volatilities on Canada’s export and import:
(5.1)
Where
itpimpln Natural logarithm of country i’s per capita import at period t
itXVln Natural logarithm of Country i’s exchange rate volatility at period t
ln itPV Natural logarithm of price volatility country i faces at period t
itPCGDPln Natural logarithm of country i’s per capita GDP at period t
itPln Natural logarithm of import price of country i at period t
)(ln 1+itt PE =lnFt,t+1 Natural logarithm of expected price of import of country i at period t,
Ln Ft,t+1 Natural logarithm of futures price
ijtERln Natural logarithm of Country i’s exchange rate with country j
D_Q2 Dummy variable3 for Quarter 2
D_Q2 Dummy variable4 for Quarter 3
D_Q4 Dummy variable5 for Quarter 4
T Time trend
3 For quarterly models
4 For quarterly models
5 For quarterly models
tiijtittititititit eTQDERPEPPCGDPPVXVpimp +++++++++= + 8761543210 _ln)(lnlnln.lnlnln βββββββββ
35
5.2 Variable Description
Dependent Variable: Per capita volume of import
Quarterly and annual real per capita volumes of imports of commodities measured in
metric ton are used as dependent variables respectively for quarterly and annual models.
Total import volumes are divided by the population to obtain per capita volume of
import. Since I used per capita real GDP as an independent variable, dependent variable
is also transformed to per capita. For quarterly models of wheat and soybean, per capita
import volumes of wheat and soybean from Canada by its major importers are used as
dependent variable. On the other hand, Canada’s per capita volume of import of corn and
rice from its major importing sources are used as the dependent variable. For annual
models, the per capita import volumes of top importers of each commodity are
considered as the dependent variable.
Independent Variables
Exchange Rate
Quarterly and annual nominal exchange rates (exporters’ currency per unit of importer’s
currency) of each period are used. Therefore, it is expected that if exchange rate
appreciates, cost of imports will be cheaper for importers. Exchange rate data are
obtained from Thompson-Reuters DataStream (http://online.thomsonreuters.com)
through the University of Guelph Data Resource Centre.
36
Import price
Unit price of import is considered as import price. Unit price of import is calculated by
dividing the value of import in U.S. dollar by the quantity of import measured in ton.
Since real volume of imports is used as dependent variable, nominal unit prices are
converted to real prices using U.S. Consumer Price Index (Base year 1982=100). Note
that unit price indices may create bias in estimation because of the compositional changes
in quantities and quality mix of exports and imports. Even with best practice stratification
the scope for reducing such bias is limited due to the sparse variable list available on
customs documents (Silver, 2007). Despite this issue, unit value of import and export
prices are widely used because of their relatively low cost availability compared with
price surveys.
Expected price
The modified version of Hooper-Kohlhagen’s model presented in the Chapter 4 assumes
that firms are capable of hedging the risk of price volatility by operating in the futures
market. This assumption is valid for today’s world since real time futures price data are
readily available and forms can buy and sell in the commodity exchanges. Given this
backdrop, I used the Chicago Mercantile Exchange (CME) futures price, Fit, of the next
period as expected cash price, )(ln 1+itt PE . Futures price data are obtained from
Thompson-Reuters DataStream (2012). Recently developed price forecast models, e.g.,
the World Bank’s commodity price forecast (World Bank 2012), and USDA’s season
average price forecasts (USDA 2012), are also mainly based on futures price. Therefore,
it is reasonable to use futures price as importers’ expected price.
37
Expected exchange rate
Although expected exchange rate is a variable in my theoretical framework for import
demand in the Chapter 4, this variable was dropped from the empirical model. The reason
of dropping this variable is that forward exchange rates are available for very few
countries only. In their original work Hooper and Kohlhagen (1978) used next period’s
realized exchange rate as expected exchange rate. However, by taking the realized
exchange rate of the next period, one would violate one of the main assumptions of the
model that exchange rates are uncertain and assumes that traders can forecast perfectly.
Exchange rate volatility
Exchange rate volatility is one of the main independent variables of the empirical model.
While a variety of exchange rate volatility measures have been used in the literature,
there is still no consensus on which measure is the most appropriate (Clark et al. 2004).
The disagreement is partly due to the fact that there is no generally accepted theory of the
impact of exchange rate volatility on firm behavior (Kandilv, 2008). Most often, some
variant of the standard deviation of the annual or monthly exchange rate is used to
measure volatility (Kandilov, 2008; Cho et al. 2002; Clark et al. 2004; Frankel and Wei,
1993; Rose, 2000; Tenreyro 2007 ).
Following Kandilov (2008) I measured the exchange rate volatility between
countries i and j in period t, ijtXV as the standard deviation of the first difference of
the natural logarithm of the daily exchange rate between the two countries over a period6:
6 Three months period for quarterly and one year period for annual
38
XVijt
=Std[lnXijt,d
− lnXijt,d-1
], for d = 1,2,..., end of the period. (5.2)
where
=tijXV Exchange rate volatility between country i and j over period t;
Std=Standard deviation
dijt,lnX =Natural logarithm of nominal exchange rate between country i and j on day d in
period t
1-dijt,lnX = Natural logarithm of nominal exchange rate between country i and j on day d-1
in period t
End of the period = the last day of the period; for example, for monthly data, the 30th or 31st
calendar day; for quarterly data, the 90th day of the quarter.
Both real and nominal exchange rates were widely used in the previous studies. For
example, Pick (1990), Arize, et al. (2000), and Cho et al. (2002) used real exchange rate
while Tenreyro (2007) and some other studies used nominal exchange rate. Kandilov
(2008) noted that for all industrial and developing countries there is little difference
between the real and the nominal exchange rate volatility in practice. Thursby and
Thursby (1987) also showed that real and nominal exchange rate volatilities do not have a
different effect on trade flows. As a result, it is reasonable to use nominal exchange rate
in this study.
Price volatility
We used the same method as exchange rate volatility to calculate price volatility using
monthly representative international prices for each commodity. Since daily data of
prices is not available for each commodity and country, we used monthly real price data.
39
Monthly nominal price data in U.S. dollar are obtained from FAOSTATS (FAO 2012)
and then deflated to real prices using U.S. Consumer Price Index (Base year 1982=100).
Following formula is used to compute price volatility:
PV= Std[lnPm
− lnPm-1
] (5.3)
Where
PV denotes the price volatility
Std represents standard deviation;
mlnP =Natural logarithm of price at month m;
1-mlnP =Natural logarithm of price at month m-1
It should be mentioned here that the correlation between real and nominal price volatility
is found to be very high, ranges 0.85 to 0.92.
Real Gross Domestic Product (GDP) per capita
Real GDP data for importing countries, obtained from USDA-Economic Research
Service (USDA-ERS 2012: http://www.ers.usda.gov/data-products/international-
macroeconomic-data-set.aspx), are divided by population to obtain real GDP per capita.
Since it is adjusted to the population of the importer, GDP per capita is a better measure
for country’s income and well being.
Quarterly Dummies
For our quarterly models, three quarterly dummies for second, third and fourth quarters
were used for seasonality.
40
Time trend variable
Time trend variables account for any time-variant effects that are not captured in the
regression. We used time trend variable in both quarterly and annual models.
5.3 Data and sources
The data used in this study comes from various sources such as the Canadian
International Merchandise Trade (CIMT) online database, the United States Department
of Agriculture (USDA), Thompson-Reuters DataStream, EUROSTAT and FAOSTAT
and Tri University Data Resources (TDR), University of Guelph. A detailed account of
data sources are provided in this section.
Import and Export data
Quarterly data of Imports and exports data of crops (including corn, rice, soybean and
wheat) ranging from 2000 to 2010 are obtained from the Canadian International
Merchandise Trade (CIMT: link) of Statistics Canada (CIMT, 2011). They are strongly
balanced panel data, which denotes the real volumes (in metric tons) of export and import
data for wheat, soybean, corn and rice. Table 5.1 summarizes the quarterly trade data
used in the study:
41
Table 5.1: Summary of export and import data for quarterly models
Crop Trade
Flow
Unit (‘000) Time
Period
Source
Corn Import Metric Ton 2000 Q1-
2009 Q4
Canadian International
Merchandise Trade (CIMT):
http://www.statcan.gc.ca/trade-
commerce/data-donnee-eng.htm
Rice Import Metric Ton 2000 Q1-
2009 Q4
CIMT:
http://www.statcan.gc.ca/trade-
commerce/data-donnee-eng.htm
Soybean Export Metric Ton 2000 Q1-
2009 Q4
CIMT:
http://www.statcan.gc.ca/trade-
commerce/data-donnee-eng.htm
Wheat Export Metric Ton 2000 Q1-
2009 Q4
CIMT:
http://www.statcan.gc.ca/trade-
commerce/data-donnee-eng.htm
For annual model, we use FAOSTATS annual detailed trade matrix to get annual imports
data of wheat, soybean, corn and rice by for individual top developing and developed
importers from 1991 to 2009. Table 5.2 summarizes the import data used for this study.
Table 5.2: Summary of import data for annual models
Crop Trade
Flow
Unit (‘000) Time Period Source
Corn Import Metric Ton 1991-2009 FAOSTAT:
http://faostat.fao.org/
Rice Import Metric Ton 1991-2009 FAOSTAT:
http://faostat.fao.org/
Soybean Import Metric Ton 1991-2009 FAOSTAT:
http://faostat.fao.org/
Wheat Import Metric Ton 1991-2009 FAOSTAT:
http://faostat.fao.org/
42
Exchange rate, price and Gross domestic product (GDP) data
Daily exchange rate data was collected from Thompson-Reuters DataStream (2012).
Monthly price and per capita real GDP of countries are obtained of commodities are
obtained from United States Department of Agriculture (hereafter ‘USDA ERS’) (2012)
and Quarterly GDP data are collected from EUROSTAT (2012). Table 5.3 summarizes
the sources and frequency of exchange rate, price, per capita GDP and GDP data uses in
this study.
Table 5.3: Summery of Data Frequency and Sources for exchange rate, GDP prices
Data Frequency Data sources
Exchange Rate Daily Thompson-Reuters DataStream7 (2012)
(http://thomsonreuters.com/)
Commodity Price Daily Tri University Data Resources(TDR), University of
Guelph (http://tdr.tug-libraries.on.ca/)
Commodity Price Monthly United States Department of Agriculture (USDA
ERS 2012); (http://www.ers.usda.gov/data-
products/international-macroeconomic-data-
set.aspx)
Per capita real
gross domestic
products
Annual USDA Economic Research Service International
macroeconomic data set (USDA ERS 2012)
Real gross
domestic products
Quarterly EUROSTAT8(2012)
(http://epp.eurostat.ec.europa.eu)and
Division of Statistics of countries in the sample.
Countries
For quarterly models, the study considered Canada’s top and regular trading partners for
wheat, soybean, rice and corn. However, few important trading partners e.g., Venezuela
for wheat, could not be incorporated in this study because of unavailability of quarterly
7 Data base of Thompson-Reuters
8 Database of European Union
43
data for few variables. Table 5.4 provides the list of Canadian trading partners included
in each crop model.
Table 5.4: List of Countries for Quarterly Models
Commodities and Trade Flows Countries
Wheat Exports from Canada U.S., Italy. Japan, Morocco
Soybean Exports from Canada U.S., Japan, Germany, France, France, Netherlands,
Belgium, Malaysia. Hong Kong, the Philippines and Italy
Canada’s Corn Imports U.S. and Rest of the World
Canada’s Rice Imports Thailand, Pakistan, Italy and U.S.
For annual models, I included top importers of each commodity. The list of top importers
is provided in the table 5.5.
Table 5.5: List of importing countries considered for annual models
Commodity Countries
Developed: Germany, Italy, Japan, The Netherlands, Republic of Korea,
Spain and USA
Wheat
Developing: Algeria, Brazil, Indonesia, Malaysia, Mexico, Pakistan, the
Philippines, Turkey
Developed: Germany, Italy, Japan, The Netherlands, Norway, Portugal,
Republic of Korea, Spain, United Kingdom
Soybean
Developing: Argentina, China, Colombia, Indonesia, Mexico, the
Philippines, Thailand, Turkey
Developed: Canada, Hong Kong, France, Singapore, United States Rice
Developing: Brazil, China, Indonesia, Malaysia, the Philippines,
Cameroon
Developed: Canada, France, Germany, Italy, Japan, the Netherlands,
Republic of Korea, Spain, United Kingdom
Corn
Developing: Algeria, China, Colombia, Indonesia, Malaysia, Mexico,
Peru, Turkey
44
5.4 Model Selection
Balance Panel data were used for both our quarterly and annual models. This section
discusses the selection process of estimation models for panel data regression from fixed
effects model, random effects model and pooled OLS.
Fixed Effects Model
The fixed effects model assumes that the intercept term captures the individual
heterogeneity which implies that every country gets it own intercept while the slope
coefficients remain the same (Baltagi, 2005).
Consider a linear unobserved effects panel data model for N observations and T periods:
NiTtuaXY itiitit ,....,1;,...,1, ==++= β (5.4)
Where itY is the dependable variable for country i at period t, itX is the KN × regressor
matrix with observable time-variant independent variables, β is a 1×K vector of
coefficients, ia is the unobserved time variant country effect and itu is the independent
and identically normal distributed error terms.
If we average the equation for each i, we get
iiii uaXY−−−
++= 1β (5.5)
Where ∑ =
−−
=T
t ityTY1
1 , ∑ =
−−
=T
t iti uTu1
1 and ∑ =
−−
=T
t iti XTX1
1
Since ia is fixed over time, it appears in both(5.4) and (5.5). If we subtract (5.4) from
(5.5) for each t we get,
itititiitiitiit uXYuuXXYY....
1 )()( +=⇒−+−=−−−−
β (5.6)
45
Random Effects Model
The random effects model assumes that the unobserved time variant individual effect, ia
in (5.2.1) is uncorrelated with each explanatory variable (Baltagi, 2005):
TtXaCov iti ,...,2,1,0),( == (5.7)
In fact, the ideal random effect assumptions include all the fixed effect assumptions plus
the additional requirement that ia is independent of all explanatory variables in all time
periods.
Hausman specification test
In order to determine whether to use fixed effects or random effects models, Hausman
specification test can be performed. Hausman specification test shows how large the
difference in estimates is in relation to the variances of estimates (Baltagi, 2005). The
computation procedure of Hausman test is as follows:
)()]()([)(^^
1^^^^ REFEREFEREFE
VarVarH ββββββ −×−×′−= − (5.8)
Where FE^
β is the coefficient estimate of fixed effects model and RE^
β is the coefficient
estimate of random effects model.
The null hypothesis of the Hausman test is that there is no systematic difference
between coefficients of fixed and random effects models models. Fixed effects models
are chosen if the null hypothesis is rejected while random effects model are chosen
otherwise (Hausman 1978).
46
Testing for random effects: Breusch-Pagan Lagrange multiplier (LM)
In order to decide between a random effects regression and a simple OLS regression,
Breusch-Pagan Lagrangian multiplier test is suggested (Breusch and Pagan, 1980). The
null hypothesis in the LM test is that variances across entities are zero. That is, no
significant difference across units (i.e., no panel effect). Rejecting the null hypothesis
indicates the presence of unobserved effects and pooled OLS would not be efficient. We
conducted Breusch-Pagan Lagrangian multiplier test to decide between random effects
and pooled OLS regression model.
Test for Cross-sectional Dependence
In panel data regression analysis, it is typically assumed that disturbances in panel data
models are cross-sectionally independent. This assumption is particularly true for panels
with large cross section dimensions. However, macro panels with smaller cross section
dimension and sufficiently large time periods may have the problem of cross section
dependence (pesaran, 2004). Cross-sectional dependence may arise due to spatial or
spillover effects, or due to unobservable common factors (Su and Zhang, 2010). Macro
panels on countries or regions with long time series that do not account for cross-country
dependence may lead to misleading inference (Baltagi, 2008). In this study, we
conducted Pesaran’s cross-sectional dependence test (CD test). But, one of the possible
drawbacks of the CD test is that adding up positive and negative correlations may result
in failing to reject the null hypothesis of cross-sectional dependence even if there is
plenty of cross-sectional dependence in the errors. Hoyos and Sarafidis (2006) suggest
conducting Fees’ and Friedman’s CD test if the average absolute correlation of the
47
residuals is high in the Pesaran’s CD test. In this study, we conduct Friedman’s and
Frees’ CD test if the average absolute correlation of the residuals was high in Pesaran’s
CD test. In case of the presence of cross-sectional dependence in the panel, we presented
regression results with Driscoll-Kraay standard errors (Hoechle 2007).
5.5 Diagnostics: Tests for Unit root, Heteroscedasticity, Serial Correlation and
Multicollinearity
This section provides an overview of the diagnostics done in this study to test for unit
root, heteroscedasticity, serial correlation and multicollinearity. Results of the test
performed are reported in the following sections for each individual crop model.
Unit root test
It is now a common practice to test for unit root in time series econometrics (Baltagi,
2008). In panel data analysis, testing for unit root is relatively recent (Levin, Lin and Chu
2002, Im et al. 2003; Harris and Tzavalis, 1999; Maddala and Wu, 1999; Choi, 2001 and
Hadri, 2000). The stationarity or non-stationarity of a time series can strongly influence
its behavior and properties. If the variables in the regression model are not stationary, the
standard assumptions of asymptotic analysis will not be valid. Because of non-
stationarity the usual ‘t-ratios’ do not follow t-distribution. Therefore, the hypothesis test
cannot be considered valid. Such estimates are termed as ‘spurious regression’ by
Gramger and Newbold (1974) since they yield results with high R-squared values and
high t-ration with no econometric meaning. The problem of non-stationarity can be
treated by applying difference operator to the series (Kennedy, 2011).
48
In this study, we conducted Levin-Lin-Chu test for panel unit root in the cases where we
find cross sectional independence. Levin, Lin and Chu (2002) argue that individual unit
root tests have limited power against alternative hypotheses with highly persistent
deviations from equilibrium. They suggested a more powerful panel unit root test than
performing a separate unit root test for each cross section (Baltagi, 2008). The null
hypothesis is that each individual time series contains a unit root against the alternative
that each time series is stationary. In presence of cross sectional dependence, Fisher panel
unit root test (Maddala and Wu, 1999) and Pesaran’s crossectionally augmented Dickey
Fuller panel unit root test was conducted to detect unit roots (Pesaran, 2007).
Test for Serial Correlation
The presence of serial correlation in panel data models potentially biases the standard
errors (Drukker, 2003). As a result, it is important to test for serial correlation in the
idiosyncratic error term. Although a number of tests have been proposed to test for
autocorrelation in a panel data model, Wooldrige test (Wooldridge 2002) is the most
attractive because it requires relatively fewer assumptions and easy to implement
(Drukke,r 2003). We performed Wooldridge test for serial correlation in our panel data
models.
Test for Heteroscedasticity
Modified Wald test was applied to test the presence of heteroscedasticty in the fixed
effect panel data models (Baum, 2001). Some of the regression models in this study are
random effects models. Since there is no specific test to detect heteroscedasticty in
49
random effects model, we reported cluster-robust covariance estimators to avoid potential
presence of heteroscedasticity in random effect model.
Test for multicollinearity
Variance Inflation Factor (VIF) was used to check the severity of multicollinearity. The
VIF shows us how much the variance of the coefficient estimate is being inflated by
multicollinearity. As a rule of thumb, VIF greater than 10 suggests to concern about
multicollinearity and VIF greater than 30 suggests severe multicollinearity (Belsley, Kuh
and Welsh, 1980).
5.6 Chapter Summary
This chapter provides the model specification used in this study. It also introduced and
described the variables to be used in the empirical model. The next chapter provides the
coefficient estimates of the regression models.
50
Chapter 6: Results and Discussions
6.1 Introduction
This chapter provides the results and discussions of both quarterly and annual models.
Results of the diagnostic tests are also provided in this chapter. We estimated the effects
of exchange rate and commodity price volatilities on Canada’s trade with its major
trading partners for wheat, soybean, corn and rice with quarterly models. In addition, the
effects of volatilities on major developed and developing importers according to their
sources of imports were estimated with the annual models.
6.2 Quarterly Models
The quarterly models are estimated for Canada’s exports of wheat and soybean and
imports of corn and rice over the period 2000:Q1 to 2010:Q4. The list of Canada’s
trading partners for each commodity is provided in table 5.4 in chapter 5.
6.2.1 Quarterly Imports of Wheat and Soybean from Canada
The parameter estimates of quarterly export models of wheat and soybean are presented
in table 6.3. Before estimation, unit root tests are conducted. Fisher’s unit root test
statistics are presented in table 6.1. For both models, the unit root test suggests that log of
price volatility and log of exchange rate volatility are level stationery. For wheat, all
other variables are difference stationery. For soybean, log of real import price is level
stationery but log of expected price and exchange rate variables are difference stationery.
Therefore, first differences of the difference stationery variables are used as independent
variables.
51
Table 6.1: Fisher’s unit root test for wheat and soybean model
Wheat Model Soybean Model
Level First Difference Level First Difference
Ln Price
volatility
105.65***
(0.000)
305.69***
(0.00)
268.93***
(0.000)
713.41***
(0.000)
Ln Exchange
rate volatility
39.63***
(0.000)
226.98***
(0.000)
85.88***
(0.000)
494.13***
(0.000)
Ln Import Price 4.67
(0.78)
42.66***
(0.00)
102.97***
(0.000)
600.59
(0.000)
Ln Expected
price
2.754
(0.9488)
77.39***
(0.000)
25.67
(0.1767)
194.45***
(0.000)
Exchange rate 4.55
(0.8037)
88.19***
(0.000)
13.67
(0.8464)
479.62***
(0.000)
Ln per capita
real GDP
6.247
(0.6195)
215.91***
(0.000)
4.19
(0.518)
587.58***
(0.000) *,** and *** denote significance level at 10%, 5% and 1% respectively. Numbers in parentheses denote P value
Based on the results of Fisher’s unit root test, my empirical framework is specified as:
(6.1)
The Hausman test is performed to test whether a fixed or random effects model is
appropriate. The Hausman's test statistic for the wheat regression is 31.68 with a p-value
of 0.000, suggesting that a fixed effects model is preferred to a random effects model. To
test for cross-sectional dependence the Friedman’s test is conducted. The test statistic for
Friedman’s test is 79.316 with a p-value of 0.000, which suggests the presence of cross-
sectional dependence for wheat quarterly model. Therefore, a fixed effects regression
with Driscoll Kraay robust standard error was chosen to estimate the wheat model.
The Hausman’s test statistic for the soybean model is 22.06 with a p-value of
0.001, suggesting that a fixed effects model is preferred to a random effects model. The
tiijtitt
ititititit
eTQDERPE
PPCGDPPVXVpimp
+++∆+∆
++∆+++=
+ 87615
43210
_ln)(ln
lnln.lnlnln
ββββ
βββββ
52
Friedman’s test statistic for the soybean regression model is 63.03 with a p-value of
0.000, which indicates the presence of cross-sectional dependence in the soybean
regression model. Therefore, soybean export model was estimated by a fixed effect
model with Driscoll-Kraay standard error.
Wooldridge test for autocorrelation in panel data is used to test if there is a serial
correlation. The statistic of this test follows F-distribution. The null hypothesis under this
test is that there is no first-order autocorrelation. For wheat model, the test statistics is
0.021 with a p-value of 0.893. Therefore, we fail to reject the null hypothesis of no serial
correlation in the wheat model at a five percent significance level. For soybean model,
Wooldridge test statistics is 3.02 with a p-value 0.11, indicating that we fail to reject the
null of no serial correlation in the soybean model at a five percent significance level.
Modified Wald test is commonly used to test if there is hetroscedasiticity in fixed
effects model. The test statistics of the Wald test follows a Chi-square distribution. The
computed statistics of Wald test statistic in the wheat model is 635 with a p-value of
0.000. Therefore, the null hypothesis of homoscedastic errors is rejected at a five percent
significance level. For the soybean model the computed statistics of Wald test is 452.23
with a p-value of 0.000, suggesting heteroscedastic errors in the soybean model.
To check for multicollinearity issues, the variance inflation factor is used. The
variance inflation factors (VIF) presented in the table 6.2 for both wheat and soybean
model shows that VIF for all variables in both models are below 2. Therefore,
multicollinearity should not be a concern for wheat and soybean model.
53
Table 6.2: VIF for wheat and soybean model
Variables VIF for wheat VIF for Soybean
Ln Price volatility 1.14 1.15
Ln Exchange rate volatility 1.41 1.21
Ln Import Price 1.44 1.81
Ln Expected price 1.06 1.03
Ln Exchange rate 1.54 1.56
Ln per capita real GDP 1.38 1.03
Time trend 1.23 1.17
Mean VIF 1.31 1.28
Table 6.3 reports the coefficients estimates of import demand of Canada’s wheat
and soybean by its major trading partners. For wheat model, results show that log of price
volatility and log of exchange rate volatility do not have significant effect on log of per
capita wheat import by canada’s major trading partners. Percentage change in real import
price has a negative and significant effect at a ten percent level of significance on log of
wheat import volume from Canada which expected because as current import price of a
commodity increases the demand for that commodity decreases. The positive and
significant (at a ten percent level significant) coefficient of percentage change in expected
price of the next period asserts that importers import more when they expect a price hike
in future. Percent change in exchange rate has a positive and significant effect on log of
per capita import of wheat at a one percent level of significance. It is expected because if
the importer’s exchange rate appreciates the cost of imports becomes cheaper for the
importer and import demand increases.
On the other hand, coefficients estimates of soybean model also yield similar results as
the wheat model. Percent change in real import price and nominal exchange rate has a
positive and significant effect on log of soybean import volume from Canada at a one
54
percent level of significance; and percentage change in expected price has a positive and
significant effect on log of per capita import volume of soybean from Canada at a one
percent level of significance. The positive and significant (at a one percent level of
significance) coefficient of time trend variable confirms that imports of soybean from
Canada by its major trading partners increased overtime.
Since expected price is usually not included in a typical import demand model
9, to
check the robustness of the results presented in table 6.3 reported, another regression
results in table 6.3a excluding the percentage change of expected price from the right
hand side. For both wheat and soybean models, log of exchange rate volatility and log
price volatility do not have significant effect on log of import volumes of wheat and
soybean from Canada. The signs of the other variables remain the same in the results
presented in the table 6.3 a.
9 Some of the literature that examine the effects of exchange rate volatility and price volatility (e.g. Zhang
2010) includes only the expected price or exchange rate. For comparison purpose results with expected
price are provided in the appendix B
55
Table 6.3: Coefficient estimates of quarterly wheat and soybean imports from
Canada from 2000 to 2009
Commodities
Dependent Variable:
Log of per capita import Wheat
Soybean
Independent variables Fixed Effect Fixed Effect
ln Price volatility
0.181
(0.122)
-0.083
(0.113)
ln Exchange rate volatility
-0.272
(0.541)
-0.1805
(0.191)
∆ ln Real Import Price 10
-1.25*
(0.722)
-0.7483***
(0.143)
∆ ln Expected Price
3.951*
(2.18)
0.6600**
(0.323)
∆ ln Exchange rate
6.241**
(4.19)
0.4716***
(0.015)
∆ ln Per Capita Real GDP
-5.639
(4.86)
-7.307
(2.56)
Dummy_Quarter 2
1.254
(0.913)
-2.0599**
(0.559_
Dummy_ Quarter3
1.0499
(1.10)
-0.7571
(0.115)
Dummy Quarter_4
0.8741
(1.07)
-0.0230
(0.134)
Timetrend
-0.011
(0.02)
0.0501***
(0.003)
Constant
-8.324*
(4.63)
-6.4412***
(1.83)
No. of Observation 171 390
R2 0.08 0.66
Prob > F 0.009 0.000 *. ** and *** denote significance level at 10%, 5% and 1% respectively. Numbers in parentheses are Driscoll-
Kraay robust standard errors
10
For soybean model, this variable was used at level since it is level stationery.
56
Table 6.3a : Coefficient estimates of quarterly wheat and soybean imports from
Canada from 2000 to 2009 (without expected price variable)
Commodities
Dependent Variable:
Log of per capita import Wheat
Soybean
Independent variables Fixed Effect Fixed Effect
ln Price volatility
0.211
(0.12)
-0.136
(0.115)
ln Exchange rate volatility
0.011
(0.74)
-0.149
(0.197)
∆ ln Real Import Price
-0.935*
(0.723)
-0.801***
(0.142)
∆ ln Exchange rate
7.404
(5.21)
0.471***
(0.015)
∆ ln Per Capita real GDP
-7.985
(5.87)
-8.207
(2.4)
Dummy_Quarter 2
1.925*
(1.05)
-2.296***
(0.52)
Dummy_ Quarter3
1.999*
(1.05)
-0.816***
(0.115)
Dummy Quarter_4
1.551
(1.13)
0.021
(0.14)
Timetrend
-0.004
(0.02)
0.051***
(0.003)
Constant
-1.902
(8.3)
-6.135***
(1.84)
No. of Observation 171 390
R2 0.05 0.62
Prob > F 0.03 0.000 *. ** and *** denote significance level at 10%, 5% and 1% respectively. Numbers in parentheses are Driscoll-
Kraay robust standard errors
6.2.2. Quarterly import models of corn and rice
This section presents and discusses the coefficient estimates of corn and rice import
models. It also presents the results of regression diagnostics performed before the
estimations.
Table 6.4 reports the test statistics of Fisher’s unit root test. The null hypothesis of
the presence of unit root is rejected for log of price volatility and log of exchange rate
57
volatility in both corn and rice models. Therefore, the log of price volatility and the log of
exchange rate volatility are level stationery. All other variables of both models are
difference stationery. Therefore, in the regression estimation, the log of price and the log
of exchange rate volatilities were considered at level, and first differences of import
price, expected price and exchange rate variables are used.
Table 6.4: Fisher’s unit root test for corn and rice model
Corn Model Rice Model
Level First Difference Level First Difference
Ln Price
volatility
38.08***
(0.000)
112.78***
(0.000)
54.346***
(0.0000)
174.042***
(0.0000)
Ln Exchange
rate volatility
14.516***
(0.000)
120.90***
(0.000)
30.366 ***
(0.0002)
195.4121***
(0.0000)
Ln Import Price 2.33
(0.67)
41.44***
(0.000)
4.170
(0.841)
77.1910***
(0.0000)
Ln Expected
price
1.54
(0.819)
49.63***
(0.000)
3.5450
(0.895)
86.2790***
(0.0000)
Exchange rate 0.555
(0.95)
32.44***
(0.000)
5.3013
(0.7249)
87.56***
(0.0000)
Ln per capita
real GDP
5.268
(0.261)
16.68***
(0.0022)
3.7771
(0.876)
19.7347***
(0.011) *,** and *** denote significance level at 10%, 5% and 1% respectively.
Numbers in parentheses denote P value
Test statistics of Hausman’s test for corn model is 18.23 with a p-value 0.000,
suggesting that a fixed effects model is preferred to random effects model. The test
statistics of Friedman’s test in the corn model is 26.400 with a p-value 0.000. Therefore, I
reject the null hypothesis of cross-sectional independence in the panel. As a result, fixed
effects regression with Driscoll-Kraay standard error is used to estimate the corn import
model.
58
On the other hand, the Hausman’s test statistics computed for the rice model is
2490 with a p-value of 0.000. Thus, I reject the null hypothesis of that both estimates are
consistent. A fixed effect model is preferred in this case. Test statistics computed for
Friedman's test of cross sectional independence is 30.07 with a p-value of 0.00.
Therefore, I reject the null hypothesis of cross-sectional independence. A fixed effects
model with Driscoll-Kraay standard error is preferred in this case as well.
The test statistics of the Wooldridge test of serial correlation in the corn model is
16.81 with a p-value of 0.15. Therefore, I fail to reject the null hypothesis of no first
order serial correlation. For rice model, the Wooldridge test statistics is 5.807 with p-
value 0.09. Thus, I fail to reject the null hypothesis of no serial correlation at 5%
significance level for rice model also.
The test statistics of the modified Wald test for the corn model is 42.07 with a p-
value 0.000, suggesting to reject the null hypothesis of homoscedastic errors. For rice
model, the statistics of the modified Wald test is 758.03 with a p-value 0.00. This, I reject
the null hypothesis of no serial correlation.
VIFs for the explanatory variables of corn and rice model presented in the table
6.5 shows that the highest VIF for corn model is 1.97 (log of price volatility) and for rice
model is 1.5 (log of Price volatility). Since no variable of any of the two models is more
than 10, multicollinearity should not be a concern in corn and rice models.
59
Table 6.5: VIF for corn and rice model
Variables VIF for Corn VIF for Rice
Ln Price volatility 1.97 1.5
Ln Exchange rate volatility 1.42 1.47
Ln Import Price 1.37 1.1
Ln Expected price 1.35 1.09
Ln Exchange rate 1.34 1.06
Ln per capita real GDP 1.22 1.05
Time trend 1.57 1.01
Mean VIF 1.46 1.18
Table 6.6 presents the coefficient estimates of Canada’s corn and rice imports
from its major import sources. Results show that percentage change in real price and
nominal exchange rate volatilities do not have significant effects on log of per capita
import of corn and rice. Other variables also have the expected signs. Among the
significant variables, percentage change in real import price has a negative effect on the
log of per capita corn import at a ten percent level of significance and on the log of per
capita rice import at a one percent level of significance. Percentage change in per capita
real GDP has a positive and significant effect on the log of per capita corn and rice
import at a five percent and a one percent level of significance, respectively.
60
Table 6.6: Coefficient estimates of Canada’s corn and rice import demand from
2000-2009
Dependent Variable:
Log of per capita import Corn
Rice
Independent variables Fixed Effect Fixed Effect
ln Price volatility
0.033
(0.067)
0.0307
(0.027)
ln Exchange rate volatility
-0.002
(0.167)
0.0271
(0.066)
∆ ln Real Import price
-1.022*
(0.618)
-0.460***
(0.085)
∆ ln Expected Price
0.184
(0.404)
0.122
(0.211)
∆ ln Exchange rate
1.380
(1.18)
0.3294
(0.48)
∆ ln Per Capita real GDP
1.381**
(0.488)
7.101***
(1.86)
Dummy_Quarter 2
-0.086
(0.127)
-1.36
(0.358)
Dummy_ Quarter3
0.029
(0.124)
-1.686***
(0.42)
Dummy Quarter_4
0.117
(0.136)
-1.211***
(0.35)
Timetrend
8.438
(0.014)
0.003***
(0.002)
Constant
2.04
(0.139)
-7.292*
(0.751)
No. of Observation 78 152
R2 0.43 0.3257
Prob > F 0.03 0.000 *. ** and *** denote significance level at 10%, 5% and 1% respectively. Numbers in parentheses are Driscoll-
Kraay robust standard errors
Table 6.7 presents the coefficient estimates of corn and rice model excluding one
independent variable, i.e.; percentage change in expected price. The results show that
signs and significance of the main independent variables do not change significantly.
61
Table 6.7: Coefficient estimates of Canada’s corn and rice import demand from
2000-2009 (without percentage change of expected price)
Commodities
Dependent Variable:
Log of per capita import Corn
Rice
Independent variables Fixed Effect Fixed Effect
ln Price volatility
0.023
(0.06)
0.030
(0.02)
ln Exchange rate volatility
-0.014
(0.16)
0.024
(0.06)
∆ ln Real Import Price
-1.070*
(0.60)
-0.461***
(0.08)
∆ ln Exchange rate
-1.461
(1.16)
0.3292
(0.21)
∆ ln Per Capita real GDP
1.431***
(0.46)
7.523***
(0.48)
Dummy_Quarter 2
-0.100
(0.12)
-1.43****
(0.35)
Dummy_ Quarter3
0.036
(0.121)
-1.777***
(0.42)
Dummy Quarter_4
0.135
(0.129)
-1.288***
(0.35)
Timetrend
0.13
(0.12)
0.003
(0.002)
Constant
8.750
(3.25)
-7.290***
(0.75)
No. of Observation 78 152
R2 0.43 0.33
Prob > F 0.01 0.000 *. ** and *** denote significance level at 10%, 5% and 1% respectively. Numbers in parentheses are Driscoll-
Kraay robust standard errors
62
6.3 Annual Models
The previous section presented the results of quarterly regression models to examine the
effects of exchange rate and commodity price volatilities on Canada’s trade with its
major trading partners for wheat, soybean, corn and rice. This section provides the results
of the annual models which attempt to examine the effects of exchange rate commodity
price volatilities on import demand of top developed and developing importers for each
commodity. The following sections present the coefficients estimate of the following
trade flows:
1. Top developed importers’ imports from developed countries
2. Top developing importers’ import from developing countries.
6.3.1 Top developed importers’ imports from Developed exporters
This section presents and discusses the results of top developed importers’ import
demand of wheat, soybean, corn and rice from their developed trading partners.
Table 6.8 provides Fisher’s panel unit root test statistics for each variable used in
the regression models. The test statistics of the Fisher’s test reports that log of price
volatility is level stationery in all crop models except Corn. For corn, log of price
volatility is difference stationery. Log of exchange rate volatility is level stationery for all
four crops. Log of real import price, log of expected price, log of exchange rate and log
of per capita real GDP are difference stationery.
63
Table 6.8: Fisher’s panel Unit Root Test
Wheat Soybean Corn Rice
Level First
Differen
ce
Level First
Difference
Level First
Differen
ce
Level First
Difference
Ln Price
Volatility
213.30
***
(0.000)
229.51
***
(0.000)
0.2945
(1.000)
131.22
***
(0.000)
6.4049
(0.994)
286.589
***
(0.000)
40.79
***
(0.000)
99.825
***
(0.000)
Ln
Exchange
rate
Volatility
55.439
***
(0.000)
173.32
***
(0.000)
68.363
***
(0.000)
228.87
***
(0.000)
58.018
***
(0.000)
202.984
***
(0.000)
0.521
***
(0.007)
34.41
***
(0.000)
Ln Real
Import
Price
17.38
(0.17)
57.645
***
(0.000)
17.07
(0.518)
82.77
***
(0.000)
14.99
(0.662)
170.49
***
(0.000)
13.73
(0.32)
109.792
***
(0.000)
Ln
Expected
Price
21.645
(0.086)
158.96
***
(0.000)
8.29
(0.97)
71.006
***
(0.000)
11.34
(0.8791)
145.33
***
(0.000)
13.95
**
(0.31)
87.927
***
(0.000)
Ln
Exchange
rate
5.11
(0.984)
93.20
***
(0.000)
8.437
(0.971)
126.86
***
(0.000)
7.60
(0.983)
122.43
***
(0.000)
0.825
(0.991)
28.329
***
(0.001)
Ln
Percapita
real
GDP
6.725
(0.944)
17.519
***
(0.045)
10.412
(0.917)
19.435
**
(0.036)
6.92
(0.990)
18.75
**
(0.04)
3.6719
(0.072)
1.266
**
(0.009)
*,** and *** denote significance level at 10%, 5% and 1% respectively.
Numbers in parentheses denote P value
Table 6.9 and 6.10 presents the test statistics of Hausman model specification test
and Friedman’s test for cross-sectional independence respectively. Table reports that the
Hausman test statistics computed in the wheat model rejects the null hypothesis that both
estimates are consistent. As a result, a fixed effects model is preferred to a random effects
model for wheat regression. The test statistics for the Friedman’s test for cross sectional
independence in the wheat model rejects the null hypothesis of cross-sectional
independence. In order to address this problem, I estimate the model with Driscoll-Kraay
standard errors. Therefore, I estimate a fixed effects model with Driscoll-Kraay standard
errors to estimate the wheat model.
64
The Hausman’s statistics calculated in the soybean model fails to reject the null
hypothesis that both fixed effects and random effects estimates are consistent, suggesting
to use a fixed effects model. The Friedman test statistics in table 6.11 rejects the null
hypothesis of cross-sectional independence in the soybean model. Therefore, similar to
wheat model I estimate a pooled OLS model with Driscoll-Kraay standard error for
soybean model
The corn import model is also estimated as pooled OLS model with Driscoll-
Kraay standard errors since the Hausman’s test statistics rejects the null hypothesis that
both estimates are consistent; and Fridman’s test statistics rejects the null hypothesis of
cross-sectional independence in the panel.
The Hausman’s test statistics computed in the rice model rejects the null
hypothesis that both fixed and random effects estimates are consistent. The Friedman’s
test statistics in the table 6.11 rejects the null hypothesis of cross-sectional independence.
Thus, rice model is estimated with fixed effects model with Driscoll-Kraay standard
errors.
Table 6.9: Hausman Specification tests
Wheat Soybean Corn Rice
Test
Statistics
P Value Test
Statistics
P Value Test
Statistics
P Value Test
Statistics
P
Value
12.59*** 0.000
0.34 0.98 28.33*** 0.001 20.97*** 0.00
*,** and *** denote significance level at 10%, 5% and 1% respectively.
Table 6.10: Friedman’s test for cross sectional independence
Wheat Soybean Corn Rice
Test
Statistics
P Value Test
Statistics
P Value Test
Statistics
P Value Test
Statistics
P
Value
13.87** 0.03 35.956 0.000*** 24.548 0.0019** 6.181 0.04**
*,** and *** denote significance level at 10%, 5% and 1% respectively.
65
Table 6.11 reports the variance inflation factors (VIF) for all the independent
variables used for each regression. The table reports that VIF for all variables are not high
enough to be concerned about multicollinearity.
Table 6.11: Variance Inflation Factors
Wheat Soybean Corn Rice
Ln Price volatility 1.93 1.57 1.96 3.03
Ln Exchange rate volatility 1.16 1.16 1.25 1.27
Ln Real Import Price 1.15 3.45 1.61 1.44
Ln Expected price 1.06 1.31 1.04 1.03
Ln Exchange rate 1.60 4.06 1.50 3.00
Ln per capita real GDP 1.30 1.26 1.19 1.35
Time trend 1.39 1.47 1.45 1.27
Mean VIF 1.37 2.04 1.43 1.77
Table 6.12 reports the test statistics for Wooldridge test for autocorrelation for
wheat, soybean, corn and rice model. Test statistics of Wooldridge test for all the models
rejects the null hypothesis of no first order serial correlation in all the models.
Table 6.12 : Wooldridge test for serial correlation
Wheat Soybean Corn Rice
Test
Statistics
P
Value
Test
Statistics
P
Value
Test
Statistics
P
Value
Test
Statistics
P
Value
15.886*** 0.007 12.60*** 0.007 3.669*** 0.009 376.12*** 0.0026
*,** and *** denote significance level at 10%, 5% and 1% respectively.
66
Table 6.13 reports parameter estimates of the developed countries’ imports of
major agricultural commodities from their developed counterparts. Results show that log
of price volatility and log of exchange rate volatility do not have significant effect on log
of per capita import volumes of wheat, soybean and rice. Only log of per capita corn
import volume are positively affected by both log of exchange rate and log of commodity
price volatilities at a one percent level of significance. Percentage change of real import
price has a negative and significant effect on log of per capita imports of all four
commodities. On the other hand, percentage change of expected price has a positive and
significant effect on log of per capita import volumes of wheat, soybean and corn
imports. Since the traders from developed countries have access to both commodities and
financial futures, they are expected to hedge the risk of both commodity price and
exchange rate volatilities (Cho et al 2002, Kandilov 2008, Zhang 2010). Coefficients
estimates in table 6.13 also support this proposition for three out of four crops since price
and exchange rate volatilities have no significant effect on log of per capita imports of
wheat, soybean and rice. Moreover, positive and significant effect of percentage of
expected price suggest that developed countries are developed countries are responsive to
the price change in the futures market. Domestic policies of many developed countries
may also play a role in minimizing the effects of volatilities on their trade. For example,
variable import levy of the European Union (EU) insulates the EU countries from the
price and exchange rate volatilities.
Table 6.13a reports the coefficients estimates of the developed countries’ imports of
major agricultural commodities from their developed counterparts excluding the
67
percentage change in expected price variable. Results suggest no drastic change in the
signs and significances of the variables.
6.13: Coefficients estimates of developed countries’ wheat, soybean, corn and rice
imports from developed importers from 1991 to 2009
Commodities
Dependent Variable:
Log of per capita import
Wheat
Soybean Corn Rice
Independent Variables
Fixed
Effects Pooled OLS Fixed effects Fixed effects
ln Price volatility
-0.098
(0.05)
-0.104
(0.83)
0.20**
(0.102)
-0.055
(0.191)
ln Exchange rate volatility
-0.162
(0.112)
0.316
(0.333)
0.24***
(0.08)
0.280
(0.240)
∆ ln Real Import Price
-0.039*
(0.109)
-3.571***
(0.91)
-0.19*
(0.103)
-2.398**
(0.905)
∆ ln Expected Price
0.117*
(0.06)
3.503***
(0.909)
0.24**
(0.37)
-0.045
0.1638
∆ ln Exchange rate
0.031***
(0.006)
-0.041
(0.034)
0.06*
(0.008)
-0.046
(0.179)
∆ln Per Capita real GDP
-3.941
(2.27)
3.566
(9.96)
1.02
(1.88)
-51.728**
(21.87)
Time trend
0.003
(0.003)
-0.085**
(0.025)
-0.002**
(0.881)
0.028
(0.02)
Constant
-4.453***
(0.70)
-0.282*
(3.16)
-6.69*
(7.9)
-7.580***
(0.82)
R squared
0.07 0.128 0.97 0.61
Prob > F
0.000 0.000 0.000 0.000
Number of Observation
126 153 162 51
*,** and *** denote significance level at 10%, 5% and 1% respectively.
Numbers in parentheses are Driscoll-Kraay robust standard errors
68
6.13a: Coefficients estimates of developed countries’ wheat, soybean, corn and rice
imports from developed countries from 1991 to 2009 (without percentage change of
expected price)
Commodities
Dependent Variable:
Log of per capita
Import
Wheat
Soybean Corn Rice
Independent Variables
Fixed
Effects Pooled OLS Fixed effects Fixed effects
ln Price volatility
-0.079
(0.05)
-0.120
(0.07)
0.797**
(0.31)
-0.328
(0.264)
ln Exchange rate
volatility
-0.158
(0.114)
0.1059
(0.35)
0.369
(0.23)
0.1531
(0.182)
∆ ln Real Import Price
-0.045*
(0.116)
-0.258*
(0.59)
-2.152***
(0.19)
-0.097
(0.196)
∆ ln Exchange rate
0.0294**
(0.006)
-0.004
(0.04)
-0.032
(0.04)
0.1196
(0.209)
∆ ln Per Capita real
GDP
-3.487
(2.27)
2.4312
(11.31)
0.757
(0.74)
-50.86
(0.016)
Time trend
0.0030
(0.003)
-0.101
(0.02)
-0.035
0.033)
-0.027
(0.041)
Constant
-4.309***
(0.807)
-2.429
(3.16)
5.884*
(3.4)
-7.501
(0.98)
R squared 0.06 0.10 0.503
0.32
Prob > F 0.000 0.000 0.000
0.000
Number of
Observation 126 153 162
51
*,** and *** denote significance level at 10%, 5% and 1% respectively. Numbers in parentheses are Driscoll-
Kraay robust standard errors
69
6.3.2 Top developing importers’ imports from developing exporters
This section presents the coefficient estimates regression models aimed to examine the
effects of exchange rate volatility and commodity price volatility on top developing
importers’ imports of wheat, soybean, rice and corn from their developing trade partners.
Table 6.14 presents the test statistics of Fisher’s panel unit root test for wheat,
soybean, corn and rice models. Test statistics suggests that price volatility and exchange
rate volatility variables are level stationery whereas import price, expected price,
exchange rate and GDP per capita variables are difference stationery.
Table 6.14: Fisher’s panel Unit Root Test
Wheat Soybean Corn Rice
Level First
Difference
Level First
Difference
Level First
Difference
Level First
Difference
Ln Price
Volatility
10.63
***
(0.056)
36.54
***
(0.000)
5.693
(0.991)
254.746
***
(0.000)
5.69
(0.991)
254.74
***
(0.000)
81.58
***
(0.000)
199.65
***
(0.000)
Ln
Exchange
rate
Volatility
74.92
***
(0.000)
205.05
***
(0.000)
108.57
***
(0.000)
245.61
***
(0.000)
108.57
***
(0.000)
245.61
***
(0.000)
52.640
***
(0.000)
186.187
***
(0.000)
Ln real
Import
Price
2.34
(0.12)
38.32
***
(0.000)
4.789
(0.232)
121.23
***
(0.000)
20.23
(0.205)
149.08
(0.000)
11.06
(0.19)
58.58
(0.00)
Ln
Expected
Price
18.55
(0.099)
136.25
***
(0.000)
10.084
(0.862)
129.190
***
(0.000)
10.084
(0.862)
129.19
***
(0.000)
27.91
***
(0.5)
175.85
***
(0.000)
Ln
Exchange
rate
31.40
(0.11)
48.57
***
(0.000)
13.48
***
(0.24)
169.02
***
(0.000)
14.18
***
(0.57)
166.33
***
(0.000)
14.573
(0.265)
48.729
***
(0.000)
Ln
Percapita
real
GDP
2.48
(1.00)
55.288
***
(0.000)
2.433
(1.00)
46.07
***
(0.001)
2.43
(1.000)
46.075
***
(0.000)
1.32
(0.999)
37.58
***
(0.002)
*,** and *** denote significance level at 10%, 5% and 1% respectively.
Numbers in parentheses denote P value
70
Table 6.15 and 6.16 present the test statistic of Hausman’s model specification
test and Friedman’ test for cross-sectional dependence respectively. The test statistics of
Hausman’s model specification test computed in the wheat model is1.16 with a p-value
0.97. Therefore I fail to reject the null hypothesis that both fixed and random effects
estimates are consistent. A random effects model is appropriate in this case. Friedman’s
test statistics of cross-sectional independence presented in table 6.18 is 12.32 with a p-
value 0.03 for wheat model. Thus, I reject the null hypothesis of cross-sectional
independence. On the basis of these two tests, the wheat import model is estimated as a
pooled OLS model with Driscoll-Kraay robust standard error.
Hausman’s test statistics presented in the Table 6.15 for soybean and corn
indicate that the null hypothesis that both fixed and random effects models are consistent
is rejected for these two models. Therefore, random effects model are preferred for
soybean, corn and rice models. Friedman’s test statistics presented in the table
6.186suggest that null hypothesis of cross-sectional independence is rejected for soybean,
corn models. Therefore, we estimated the soybean and corn model as pooled OLS model
with Driscoll-Kraay standard errors. Rice model is estimated as fixed effects model with
Driscoll-Kraay robust standard error.
Table 6.15: Hausman’s Specification tests
Wheat Soybean Corn Rice
Test
Statistics
P
Value
Test
Statistics
P
Value
Test
Statistics
P
Value
Test
Statistics
P
Value
1.6 0.97 1.16 0.998 2.34 .8009 194*** 0.000
*,** and *** denote significance level at 10%, 5% and 1% respectively.
71
Table 6.16: Friedman’s test for cross-sectional independence
Wheat Soybean Corn Rice
Test
Statistics
P
Value
Test
Statistics
P
Value
Test
Statistics
P
Value
Test
Statistics
P
Value
12.32** 0.037 18.77*** 0.0089 15.15** 0.03 20.33*** 0.001
*,** and *** denote significance level at 10%, 5% and 1% respectively.
Table 6.19 provides the VIF for all the explanatory variables of wheat, soybean,
corn and rice models. Low VIF values of variables in each model confirm that
multicollinearity is not an issue to be concerned in any of the models.
Table 6.17: Variance Inflation Factors
Wheat Soybean Corn Rice
Ln Price Volatility 1.28 2.3 2.30 2.07
Ln Exchange rate
Volatility
2.18 1.11 1.12 1.06
Ln Real Import Price 1.19 2.47 2.47 1.36
Ln Expected Price 1.10 1.01 2.47 1.08
Ln Exchange rate 1.42 1.91 1.91 2.13
Ln Percapita real
GDP
1.06 1.15 1.14 1.10
Ln Price Volatility 1.42 1.09 1.10 1.56
Mean VIF 2.09 1.58 1.58 1.48
Test statistics of Wooldridge test of serial correlation for wheat, soybean,. Corn
and rice model are presented in the table 6.18. Test statistics for wheat, soybean and corn
model reject the null hypothesis of no first order serial correlation. Test statistics of
Wooldridge test computed for rice model is 3.23 with a p-value 0.146. Therefore, I fail to
reject the null hypothesis of no first order serial correlation in rice model.
72
Table 6.18 : Wooldridge test for serial correlation
Wheat Soybean Corn Rice
Test
Statistics
P Value Test
Statistics
P Value Test
Statistics
P Value Test
Statistics
P Value
18.21*** 0.008 9.080** 0.01 12.20** 0.01 3.23 0.1467
*,** and *** denote significance level at 10%, 5% and 1% respectively.
Table 6.19 presents the coefficients estimates of the imports of wheat, soybean,
corn and rice by developing countries from their developing counterparts. Estimates show
that log of price volatility has a positive and significant effect on log of per capita wheat
import volume at a five percent level of significance. This result is supported by
IFPRI(2011) which reports that wheat importing developing countries have a tendency to
import more than the required amount of wheat when they face volatility so that they can
have a considerable buffer stock to avoid domestic food riots. It may be mentioned here
that wheat is the staple food in majority of the developing countries. Although log of
price volatility affects wheat import positively, it has a negative and significant effect on
log of per capita soybean import volume (at one percent level of significance) and
imports of corn and rice at five percent level of significance. Since the majority of
developing countries are unable to hedge the risk by operating in the futures market due
to financial constraints, regulation and limited storage capacity, they are more likely to be
affected negatively by price volatility. On the other hand, log of exchange rate volatility
has no effect on developing countries’ log of import volume from other developing
countries. Since a majority of developing countries follow a ‘managed floating’ exchange
rate system they are more likely to protect their traders from exchange rate volatility. As
expected, percentage change in real import price has negative and significant effects on
73
log of import volume of wheat, soybean and corn. But percentage change in expected
price has a positive and significant effect (at five percent level) on log of rice rice import
only. Log of per capita import volumes of all other crops are unaffected by expected
price. This result suggests that developing countries are less responsive to the movement
in futures market.
6.19: Coefficient estimates of developing importers’ imports of wheat, soybean, corn
and rice from developing exporters from 1991 to 2009
Commodities
Dependent Variable:
Log of per capita
Import
Wheat Soybean Corn Rice
Independent variables
Pooled OLS Pooled OLS Pooled OLS Fixed Effects
ln Price volatility
0.687***
(0.215)
-0.2826***
(0.079)
-0.03**
(0.012)
-0.242*
(0.128)
ln Exchange rate
volatility
-0.069
(0.09)
0.334
(0.36)
0.224
(0.12)
0.026
(1.21)
∆ ln Real Import Price
-0.83**
(0.38)
-2.78***
(0.75)
-0.862***
(0.23)
-0.107
(0.07)
∆ ln Expected Price
0.16
(0.32)
0.2159
(0.80)
-1.49
(0.685)
-0.153
(0.227)
∆ ln Exchange rate
0.344*
(0.12)
0.2051
(0.53)
0.306*
(0.84)
-1.020
(0.799)
∆ ln Per Capita real
GDP
12.25*
(0.257)
0.797
(10.22)
16.014
(11.28)
11.614
(0.61)
Time trend
0.1087***
(0.01)
0.261***
(0.03)
0.1299**
(0.02)
0.069*
(.037)
Constant
-3.13**
(1.18)
3.265*
(2.73)
-1.9*
(1.19)
-6.956***
(0.75)
R squared
0.33 0.3114 0.2762 0.1534
Prob > F
0.000 0.000 0.004 0.000
Number of Observation
108 144 144 72
*,** and *** denote significance level at 10%, 5% and 1% respectively.
Numbers in parentheses are Driscoll-Kraay robust standard errors
74
Table 6.20 provides the estimates of coefficients without the percentage change in
expected price variable. The table shows that signs and significance level remain the
same for most of the variables.
6.20: Coefficient estimates of developing importers’ imports of wheat, soybean, corn
and rice from developing exporters from 1991 to 2009 (without percentage change
of expected price)
Commodities
Dependent Variable:
Log of per capita
Import
Wheat Soybean Corn Rice
Independent variables
Pooled
OLS
Pooled OLS Pooled OLS Fixed Effects
ln Price volatility
0.679**
(0.232)
-0.274***
(0.07)
-0.036**
(0.013)
-0.3691***
(0.089)
ln Exchange rate
volatility
0.0880
(0.135)
0.351
(0.366)
0.208
(0.121)
0.5389
(0.141)
∆ ln Real Import Price
-0.980**
(0.34)
-2.697***
(0.55)
-0.582
(0.327)
-0.366
(0.813)
∆ ln Exchange rate
0.3118*
(0.14)
0.198
(0.518)
0.234
(0.86)
-0.061
(1.41)
∆ ln Per Capita real
GDP
21.30**
(9.79)
1.295
(9.9)
13.696
(11.44)
2.809**
(0.79)
Time trend
0.099***
(0.016)
0.265***
(0.03)
0.114***
(0.03)
0.0184
(0.02)
Constant
-2.394*
(1.18)
3.961**
(3.96)
-3.240*
(1.5)
-11.54***
(3.7)
R squared
0.3273 0.3112 0.2365 0.2453
Prob > F
0.000 0.000 0.004 0.000
Number of Observation
108 143 144 72
*,** and *** denote significance level at 10%, 5% and 1% respectively.
Numbers in parentheses are Driscoll-Kraay robust standard errors
75
6.4 Chapter Summary
This chapter presented the estimates of coefficients of both quarterly and annual models
for wheat, soybean, corn and rice. The quarterly models attempted to examine the effects
of exchange rate and commodity price volatilities on Canada’s wheat and soybean export;
and corn and rice imports. The estimated coefficients suggest that price and exchange rate
volatilities do not have a significant effect on Canada’s export of wheat and soybean; and
imports of rice and corn. On the other hand, the annual models examined the effects of
exchange rate and commodity price volatilities on imports of top developed and
developing importers. Results suggest that trade between developing countries are more
affected than trade between developed countries. Next chapter provides a summary of
the study and discusses policy implications and limitations of this study
76
Chapter 7: Summary and Conclusion
This chapter provides a summary of the motivation and objectives of this study,
theoretical framework used for analysis, empirical results and discussions, limitations of
the study and future directions of research in this area.
7.1 Summary
The purpose of this thesis is to examine the effects of both exchange rate volatility and
commodity price volatility on specific agricultural commodity trade. Previous literature
on the effects of exchange rate volatility on international agricultural commodity trade
came up with mixed results (Cho et al. 2002; Kandilov, 2008; Zhang, 2010; Dell Ariccia,
1999; Villanueva and Sarker, 2009). Most of the studies on agricultural trade focused on
overall agricultural commodity trade, not specific commodity trade. At the same time,
research on the effects of commodity price volatilities on commodity trade flows is also
scarce. In recent years, agricultural commodity price volatilities also drew much attention
of the researchers. Few studies (IFPRI, 2011; World Bank, 2011, FAO, 2011) predicted
that price volatilities may have implication on agricultural commodity trade too. This
backdrop motivated a study to examine the effects of both exchange rate and commodity
price volatilities on trade of four major agricultural commodities: wheat, soybean, corn
and rice. The specific objectives of the study are (i) to estimate the effects of both
exchange rate and commodity price volatilities on agricultural trade and (ii) to examine
the effects of commodity price and exchange rate volatilities on developed and
developing countries separately.
77
This study used a modified version of Hooper and Kohlhagen’s trade model
(Hooper and Kohlhagen, 1978). The basic Hooper and Kohlhagen model theoretically
estimated the effects of exchange rate volatilities on import demand. We incorporated
price volatility into the model. The theoretical framework used in this study asserts that
the effects of exchange rate and commodity price volatilities on agricultural commodity
trade largely depends on the risk preference and ability to hedge the market risk of the
traders. Exchange rate volatility and commodity price volatility may have a negative
effect on trade if the traders are risk averse and less capable to hedge the market risk. On
the other hand, exchange rate volatility may have a positive effect on trade volume if the
traders are risk lovers and more capable to hedge the market risks.
The empirical part of this study estimates the effects of exchange rate and
commodity price volatilities in two different ways:
First, the effects of exchange rate and commodity price volatilities on Canada’s
export of wheat and soybean; and imports of corn and rice with its major trading partners
are estimated using quarterly data.
Second, the effects of exchange rate and price volatilities on wheat, soybean, corn
and rice imports of on trade between developed and developed countries; and developing
and developing countries are estimated using annual data.
The coefficient estimates of the quarterly models of Canada’s trade with its major trading
partners suggest that price volatility does not have a significant effect on Canada’s export
of wheat and soybean; whereas exchange rate volatility has a negative and significant
78
effect on Canada’s import of rice. Exchange rate volatility does not have a significant
effect on import of corn and export of wheat and soybeans.
The annual models are estimated to examine the effects of exchange rate and
commodity price volatilities on developed and developing countries’ imports separately.
Since developed countries’ traders have much wider access to commodities and financial
futures market, it is expected that trade between developed countries will remain
unaffected by volatilities. On the other hand, because of limited access to futures market
(and other derivative instruments) and the tendency towards “speculative behaviors” we
expected that trade between developing countries will be affected negatively by price and
exchange rate volatilities. Coefficients estimates of import demand of developed
countries from their developed counterparts are largely consistent with our expectations.
Price volatility and exchange rate volatility have a positive and significant effect on
developed countries’ corn imports only. But price and exchange rate volatilities do not
have a significant effect on soybean, corn and rice imports.
Developing countries’ imports from developing countries are mostly affected by
price and exchange rate volatilities. Price and exchange rate volatilities have a negative
and significant effect on soybean, corn and rice imports of developing countries’ import
from their developing trading partners. These results are expected because of developing
countries’ limited access to commodity and financial futures market; and their tendency
towards trade restrictive policies, such as export ban during the periods of volatilities
(IFPRI 2011). Previous studies, such as, Arize et al (2005), Arize et al ( 2003), Bahmani-
Oskoee(1996), and Kandilov (2008) found similar negative effects of exchange rate
volatilities on developing countries’ trade with their developing counterparts. For
79
example, Arieze et al (2003) found negative effect of exchange rate volatilities on trade
of Turkey, Korea, Malaysia, Indonesia, and Pakistan, Another study by Arize (2000)
found a negative effect of exchange rate volatility on export volume of 13 LDCs.
Kandilov (2009) showed with a gravity model that exchange rate volatility has a negative
effect on trade between developing countries.
7.2 Policy implications
The finding of this study suggests that the effects of exchange rate and commodity price
volatilities vary across the countries studied. It may largely depend on countries’
domestic policies, access to futures market and financial services and traders’ risk
preferences. In general, the finding suggests that developing countries’ trade are more
affected because of exchange rate and commodity price volatilities. Therefore, exchange
rate and commodity price volatilities may have an impact on agriculture and food
security of developing countries. Since a number of developing countries are already
food insecure because of the burden of population and low agricultural productivity,
increase in price and exchange rate and commodity price volatilities may have the
potential to further trigger food insecurity in many developing countries.
Restricting imports or reducing import tariffs in short run are very popular policy
options for many developing countries to cope with volatilities. During the periods of
volatilities in 2007-08, 43 out of 81 developing countries reduced import taxes and 25
banned exports for specific products or increased export taxes for agricultural
commodities (BIAC, 2011). Some countries, being speculative, began to import more
food than the requirement to create a buffer stock. These short term abrupt changes of
80
policies often discourages the necessary additional investment required for agricultural
production and have potential to increase volatility further. Although these policies may
help to stabilize the situation in a single country in short run, they are often counter
productive and expensive in the long run. These policies may have implications on food
securities of other countries as well. For example, ban on rice export by India during
2007-08, destabilize the world rice market and threatened food security of many
countries that are dependent on rice.
One of the findings of this study is that generally commodity price and exchange
rate volatility do not have a significant effect on developed countries’ trade. This finding
suggests that farmers and all agents in the marketing chain in developed countries may be
well protected from risk of exchange rate and price volatilities by a variety of market
based instrument. They may be able to manage the risk they face with these instruments.
Sarris (2011) says that producers and consumers of developed countries have developed
sophisticated market-based risk management system (e.g., insurance) to deal with
commodities risk. In the last three decades, they also developed a variety of innovative
financial instruments (futures, options, and other derivatives) to hedge the risk of price
and exchange rates. On the contrary, most of the developing countries do not have a well
developed futures market and their financial markets are also underdeveloped. Although
the modern markets of risk management instrument are accessible to all, traders of most
of the developing countries are unable to take this advantage because of a variety of
institutional imperfections and financial constraints. Developing countries may consider
establishing well-organized commodity exchange market. Developed countries may
81
extend their technical support in building commodity exchange markets in developing
countries.
7.3 Limitations and further research
In our quarterly models, we tried to estimate the effects of exchange rate and commodity
price volatilities with Canada’s major trading partners. Since quarterly data on GDP,
exchange rate and price were not available for many countries, specially developing
countries, we were unable to incorporate all the trading partners. If data become
available, the estimates can be done with larger sample.
The assumptions about the accessibility of importers to financial and commodity
futures could be verified with data. Although most of the developing countries do not
have access to financial and commodities futures market, some major traders of
agricultural commodities do have access to these markets. Because of the unavailability
of information about access to futures market for all countries in the panels, I was unable
consider this factor in the model.
Unit price was used as import price in this study. Unit price indices may create
bias in estimation because of the compositional changes in quantities and quality mix of
exports and imports. One can use domestic price as an independent variable since this
variable is an important component of an import demand model. As domestic prices of
all commodities for all countries in the panels are not available, we used the unit value.
Another limitation of this study is that the effects of exchange rate and
commodity piece volatilities are estimated at the country level whereas the theoretical
framework was developed for an individual firm first and then aggregated for the
82
country. Further study may also consider panel co-integration and estimating pane co-
integration regression.
7.4 Research Contribution
The purpose of this thesis was to examine the effects of both commodity price and
exchange rate volatilities on trade flows. Overwhelming percentage of previous studies
only examined the effects of exchange rate volatilities on trade flows. Inclusion of price
volatility’s effect along with exchange rate volatilities is the key contribution of this
thesis. Another important contribution of this thesis is the estimation of the effects of
exchange rate and commodity price volatilities on trade of developed and developing
countries separately.
83
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Appendix A
Table A1: Exchange Rate Arrangements of Countries
Exchange Rate Regime
(Number of Countries)
Countries
Exchange arrangements with
no separate legal tender (41)
Ecuador, El Salvador, Kiribati, Marshall Islands,
Micronesia, Fed. States of Palau, Panama, San Marino ,
Timor-Leste, Dem. Rep. of Antigua and Barbuda,
Dominica,, Grenada, St. Kitts and Nevis, St. Lucia, St.
Vincent and the Grenadines, Benin,, Burkina Faso, Côte
d'Ivoire, Guinea-Bissau, Mali,Niger, Senegal, Togo,
Cameroon, Central African Rep., Chad, Congo, Rep. of
Equatorial Guinea, Gabon
Euro Area
Currency board
arrangements (7)
Bosnia and Herzegovina, Brunei Darussalam, Bulgaria,
Hong Kong SAR, Djibouti, Estonia, Lithuania
Other conventional fixed peg
arrangements (52)
Aruba, Bahamas, Bahrain, Barbados, Belarus,, Belize,
Bhutan, Bolivia, Cape Verde, China , Comoros, Egypt,
Eritrea, Ethiopia, Guyana, Honduras, Iraq, Jordan, Kuwait,
Latvia, Lebanon, Lesotho, Macedonia, Maldives, Malta,
Mauritania, Namibia, Nepal, Netherlands Antilles, Oman,
Pakistan, Qatar , Rwanda, Saudi Arabia, Seychelles, Sierra
Leone, Solomon Islands, Suriname, Swaziland, Syrian Arab
Rep, Trinidad and Tobago, Turkmenistan, Ukraine, United
Arab Emirates, Venezuela, Rep. Bolivariana , Vietnam,
Zimbabwe
Pegged exchange rates within
horizontal
bands (6)
Cyprus, Denmark, Slovak Rep., Slovenia, Hungary
Tonga
88
Exchange Rate Regime
(Number of Countries)
Countries
Crawling pegs Azerbaijan, Botswana, Costa Rica, Iran, Nicaragua
Managed floating with no pre-
determined path for the
exchange rate (51)
Argentina, Bangladesh, Cambodia, Gambia, Ghana, Haiti,
Jamaica,
Lao P.D.R., Madagascar, Malawi, Mauritius, Moldova,
Mongolia, Sri Lanka, Sudan , Tajikistan, Tunisia, Uruguay,
Yemen, Rep. of, Zambia, Colombia Czech Rep.,
Guatemala, Peru, Romania, Serbia, Rep. of,
Thailand, Afghanistan, Armenia, Georgia, Kenya,Kyrgyz
Rep, Mozambique, Algeria, Angola, Burundi, Croatia,
Dominican Rep, Guinea, India, Kazakhstan, Liberia,
Malaysia, Myanmar, Nigeria, Papua New Guinea, Paraguay,
Russian Federation , São Tomé and Príncipe, Singapore,
Uzbekistan
Independently floating (25) Albania, Congo, Dem. Rep. of, Indonesia, Uganda,
Australia, Brazil, Canada, Chile , Iceland, Israel, Korea,
Mexico, New Zealand, Norway, Philippines, Poland, South
Africa, Sweden, Turkey, United Kingdom, Tanzania, Japan,
Somalia, Switzerland
United States
Source: IMF (http://www.imf.org/external/np/mfd/er/2006/eng/0706.htm)
89
Appendix B
Table B1: Coefficient estimates of quarterly wheat and soybean imports from
Canada from 2000 to 2009 (without percentage change of real import price
variable)
Commodities
Dependent Variable:
Log of per capita import Wheat
Soybean
Independent variables Fixed Effect Fixed Effect
ln Price volatility 0.134
(0.107) -0.12
(0.10)
ln Exchange rate volatility -0.068 (0.62)
-0.43** (0.15)
∆ ln Expected Price 3.992* (3.99)
1.01 (0.38)
∆ ln Exchange rate 5.181 (4.18)
0.50*** (0.014)
∆ ln Per Capita real GDP -4.658 (4.97)
-7.58*** (2.57)
Dummy_Quarter 2 1.136 (0.90)
-2.15*** (0.56)
Dummy_ Quarter3 0.943 (1.07)
-0.75*** (0.126)
Dummy Quarter_4 0.731 (1.06)
0.05 (0.121)
Timetrend -0.012 (0.02) 0.05***
Constant -7.205 (5.05)
-12.62*** (0.003)
No. of Observation 171 390
R2 0.07 0.000
Prob > F 0.000 0.63 *. ** and *** denote significance level at 10%, 5% and 1% respectively. Numbers in parentheses are Driscoll-
Kraay robust standard errors
90
Table B2: Coefficient estimates of quarterly corn and rice imports by Canada from
2000 to 2009 (without percentage change of real import price variable)
Commodities
Dependent Variable:
Log of per capita import Corn
Rice
Independent variables Fixed Effect Fixed Effect
ln Price volatility 0.018 (0.06)
0.0398 (0.03)
ln Exchange rate volatility 0.069 (0.16)
0.0229 (0.08)
∆ ln Expected Price 0.298 (0.40)
-0.1358 (0.20)
∆ ln Exchange rate -2.074*
(1.14) 0.0695 (0.60)
∆ ln Per Capita real GDP 1.367***
(0.50) 6.0774 (1.93)
Dummy_Quarter 2 -0.060 (0.13)
-1.1617 (0.37)
Dummy_ Quarter3 0.000 (0.12)
-1.4721 (0.43)
Dummy Quarter_4 0.087 (0.13)
-0.9803 (0.36)
Timetrend 8.275 (3.46)
0.0026 (0.002)
Constant 0.018 -7.3362
(1.02)
No. of Observation 78 152
R2 0.383 0.15
Prob > F 0.04 0.00 *. ** and *** denote significance level at 10%, 5% and 1% respectively. Numbers in parentheses are Driscoll-
Kraay robust standard errors
91
Table B3: Coefficients estimates of developed countries’ wheat, soybean, corn and
rice imports from developed countries from 1991 to 2009 (without percentage
change of real import price)
Commodities
Dependent Variable:
Log of per capita
Import
Wheat
Soybean Corn Rice
Independent Variables
Fixed
Effects Pooled OLS Pooled OLS Pooled OLS
ln Price volatility -0.11
(0.05) -0.150 (0.10)
-0.358* (0.17)
-0.9502 (0.54)
ln Exchange rate
volatility -0.17
(0.12) 0.147 (0.34)
-0.726** (0.258)
0.5890 (1.08)
∆ ln Expected Price 0.12* (0.07)
0.597 (0.392)
-0.022 (0.117)
-0.6340 (0.70)
∆ ln Exchange rate 0.03*** (0.006)
0.008 (0.04)
-0.140*** (0.018)
1.1629 (0.811)
∆ ln Per Capita real
GDP -3.88* (2.19)
1.731 (11.89)
-1.443 (0.866)
-44.39 (85.60)
Time trend 0.00
(0.002) -0.103 (0.02)
0.048*** (0.008)
0.0142** (0.111)
Constant -4.75
(0.88) -2.166*
(1.97) -1.742 (4.99)
-12.313*** (2.64)
R squared 0.065 0.109 0.11
0.14
Prob > F 0.000 0.00 0.000
0.00
Number of
Observation 126 153 162
57
*,** and *** denote significance level at 10%, 5% and 1% respectively. Numbers in parentheses are Driscoll-
Kraay robust standard errors
92
Table B4: Coefficients estimates of developing countries’ wheat, soybean, corn and
rice imports from developing countries from 1991 to 2009 (without percentage
change of real import price)
Commodities
Dependent Variable:
Log of per capita
Import
Wheat
Soybean Corn Rice
Independent Variables
Fixed
Effects Pooled OLS Pooled OLS Pooled OLS
ln Price volatility 0.453 (.41)
-0.10* (0.24)
-0.037*** (0.012)
-0.370** (0.166)
ln Exchange rate
volatility 0.070 (0.14)
-0.02 (0.377)
0.175 (0.144)
0.299 (0.167)
∆ ln Expected Price -0.049 (0.25)
-1.74 (1.38)
-1.246 (0.74)
0.481** (0.182)
∆ ln Exchange rate 0.316* (0.15)
0.07 (0.69)
0.356 (0.824)
-0.702 (1.5)
∆ ln Per Capita real
GDP 16.708 (10.15)
13.23 (15.61)
13.883 (11.823)
-56.013*** (16.13)
Time trend 0.105*** (0.015)
0.23*** (5.14)
0.109 (0.026)
0.050* (0.02)
Constant -3.692 (1.97)
-10.09*** (0.75)
-6.258 (0.621)
-3.004* (1.57)
R squared 0.29 0.20 0.2556
0.2566
Prob > F 0.000 0.000 0.000
0.000
Number of
Observation 108 144 144
72
*,** and *** denote significance level at 10%, 5% and 1% respectively. Numbers in parentheses are Driscoll-
Kraay robust standard errors