AGRICULTURAL PRICES
AND MARKETS
AGRICULTURAL PRICES AND MARKETS
Sponsored by a Grant TÁMOP-4.1.2-08/2/A/KMR-2009-0041 Course Material Developed by Department of Economics,
Faculty of Social Sciences, Eötvös Loránd University Budapest (ELTE) Department of Economics, Eötvös Loránd University Budapest
Institute of Economics, Hungarian Academy of Sciences Balassi Kiadó, Budapest
AGRICULTURAL PRICES AND MARKETS
Author: Imre Fertő
Supervised by Imre Fertő June 2011
ELTE Faculty of Social Sciences, Department of Economics
AGRICULTURAL PRICES AND MARKETS
Week 5
Marketing margin
Imre Fertő
Literature
• Tomek, W. G.–Robinson, K. (2003): Agricultural
Product Prices. Cornell University Press, Chapter 6
• Hudson (2007): Agricultural Markets and Prices.
Blacwell, Chapter 4
• Ferris. J. N. (1997): Agricultural Prices and
Commodity Market Analysis. McGraw–Hill, Chapter 5
• Schrimper, R. A. (1995): Subtleties Associated With Derived Demand Relationships. Agricultural and
Resource Economic Review, October, 241–246
• Canning, P. (2011): A Revised and Expanded Food Dollar Series. A Better Understanding of Our Food Costs. USDA ERS, ERR. No. 114
Theory of marketing margin
• Approaches of marketing margin
• Empirical measurements of marketing margin
• Types and changes of marketing margin
• Price elasticities and marketing margin
• Market structures and marketing margin
Approaches of marketing margin
• Producers and consumers do not meet with each other directly, marketing system is between them
• Marketing margin (MM)
– Difference between the price paid by consumers and that obtained by the producers
– The price of all marketing services that occurs between the farm gate and the consumers
(transport costs, packages costs, wages, profit etc.)
• MM can be described – in per cent
– in absolute value
• MM
– Refers only to the price difference
– But makes no statement about quantities
Marketing margin
P
Q Sd
Sp
Dd Dp
Retail sector
producers MM
Marketing margin
Dr AVC ATC Sm
Q0 P
Qms ATC
Pr-Pf
Empirical measures of marketing margin
• Marketing bill:
– This is an estimate of total marketing costs of all domestically produced farm food purchased by civilians in the domestic country
– Several ways of investigating the marketing bill
• Costs components: labour, transport, rents, profits, etc.
• Institutional costs: wholesaler, retailer, processor, etc.
• Individual commodity costs: meat, fruit, vegetables, etc.
• Farm-food market basket:
– This is a measure of average costs of fixed quantity of farm products
– There are four components to the Market Basket series
• Retail price
• Farm value
• Farm-retail price spread
• Farmers share of the consumer or retail dollar
Empirical measures of marketing margin
• Farm-retail price spread
– Farmers share of the consumer or retail dollar – It should measured by equivalent value
– Example
• For steers, 2,5 kg of live weight yield 1 kg of retail beef cuts
• 2000 retail beef price = €8,40/kg average all cuts
• 2000 steer price = €1,20/kg live weight
• 2000 farm-retail price spread = €5,40/kg retail cut (= 8,40 – 2,5*1,20)
• Stylized fact:
– The share of producers in consumer dollar decreasing over time
Interpretation of changing farmers share
• Is a large farm-retail price spread necessarily bad?
– Shift in consumption patterns towards food with higher value added and more food eaten-away- from-home (marketing bill)
– Factor productivity increases more rapidly in agriculture than in manufacturing, let alone services
– Could be due to growing market power
– Latter suspicion fuelled when reductions in farm prices are not passed through in lower retail
prices
Source: Agri-Aware website
Real food prices are declining….
Changes in MM
• Change in MM caused by changes in derived S
and D, NOT by changes in primary S and D
• Why?
• Consider primary D and S shifters?
• How does change in marketing costs affect
primary D and primary S?
• Primary D – Income
– Population
– Price other goods – Tastes
• Primary S
– Price/profit competing products
– Technology – Input costs – Weather
Changes in MM
• Derived D and S shifters include factors associated marketing services
– Transport costs – Processing costs
– Processing technology – Assembly costs
• Thus change in MM reflected as derived D and S shifters
• By how much?
– ΔMM=P
r-P
fE.g. The growth of transport costs
P
Q Sd
Sp
Dd Dp
MM
D’d S’d
Q Q*
Growing transport costs → Increasing MM
•Q↓
•Pf↓
•Pr↑
Effect of changing MM
• Incidence of transportation costs: farmers and consumers
• Depends on
– Relative own-price elasticity of S and D
• What happens if D is more elastic than S
• What happens if S is more elastic
than D
Perfectly inelastic D
P
Q Sd
Sp
Dd=Dp MM
S’d
Q
Perfectly inelastic S
P
Q Sd=Sp
Dd Dp
Árrés
D’d Q
Types of MM
• Constant MM
– MM=c, where c≥0 and constant
– Paralel D curves – Ed=Er(Pd/Pr) where,
• Ed: derived demand (farm) elasticity
• Er: retail demand elasticity Pd:
derived demand (farm) price
• Pr: retail price
• Proof:
– For any ΔQ,
• ΔPr=ΔPf and Qr=Qf
• Ed/Er=dQ/dPr*Pr/Q*d Pf/dQ*Q/Pf=Pd/Pr
• Properties
– Ha Pd/Pr<, |Ed|>Er
– Dd is more inelastic than Dp
– Larger margins
between d and r mean larger differences in prices elasticities between d and r
Types of MM
• Fixed percentage MM
– MM=aP
r, where 0≤a ≤1 – E
d=E
r– Unlikely entire margin would be like this
• Proof:
– If P
r=kP
f, where k is a constant and Q
r=Q
f– E
r=dQ/dkP
f*kP
f/Q=dQ/dP
f*P
f/Q=E
dPercentage MM
Df
Dr
Sf
Sr
MM
MC1
ATC1
AVC1
MC2
ATC2
AVC2 Marketing firm high fix costs
+ economies of scale
Types of MM
• Combination of absolute and percent MM:
– MM linear combination of constant
absolute amount (c) and constant per cent of retail price (a)
– MM=c+aP
r, where c>0 and 0≤a ≤1 – Unit margin decreases with lower
prices as quantity marketed increases
– E
d=E
r(1-(c/(1-a)*P
r)
Combined MM
Df
Dr
Sf Sr
M M
MC
AVC Prices are more
volatile at the farm level than at the consumer level Marketing firm with
high fix costs + high VC
Price elasticities and incidence of MM
• Rf=1/(1+(Pr*Es)/Pf*|Ed|)), where
– Rf= total price changes at the farm level
• Proof:
– If ΔMM= ΔPr– ΔPf, then % changes at the farm level – But |Ed|=dQ/dPr*Pr/Q and Es=dQ/dPf*Pf/Q
– Thus dPr=dQ/Ed*Pr/Q and dPf=dQ/Es*Pf/Q
– Thus Rf=dQ/Es*Pf/Q/((dQ/Ed*Pr/Q)+dQ/Es*Pf/Q)) – dQ/Q simplify and * Es/Pf
– Rf=1/(1+(Pr*Es)/Pf*|Ed|))
Price elasticities and incidence of MM
• R
f=1/(1+(P
r*E
s)/P
f*|E
d|)), if
– E
s=0, then R
f=1, producers pay entirely the changes of MM
– E
d=0, then R
f→0, consumers pay
entirely the changes of MM E
s= |E
d|, R
f= P
f/(P
f+P
r)
– E
s>|E
d|, R
f<P
f/(P
f+P
r)
– E
s<|E
d|, R
f>P
f/(P
f+P
r)
Joint products
• X: basic commodity
• X
1and X
2: joint products
• W
1and w
2: fixed yields per unit X
• X
1=w
1X, X
2=w
2X
• P
1and P
2unit prices of joint products
• E
x=(P
1w
1+P
2w
2)/(1/E
1(P
1w
1)+(1/E
2(P
1w
2)
– If P
1w
1or P
2w
2=0, then E
x=E
1or E
2MM with variable ratio
MM and imperfect competition
P
Q Sf
Sm
Df
Dr MM
MRc
Sr
Q Q*
Sr: retail Sf: producer Sm: MM
Sr–Sf=Sm MR=MC