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Elasticity: Concept, Measurement
and Determinants
Dadhi Adhikari
Kathmandu College of Management
20th
Sept, 2007
Meaning of Elasticity
• Let Y=f(x)
• Elasticity of Y with respect to X is defined as
percentage change in Y due to one percent
change in X
• Mathematically
∞
≅
∆
∆
==
x
x
x
x
x
x
Q
P
Q
P
P%
Q%
dP
dQ
P
Q
inchange
inchange
E
Price Elasticity of Demand
• Responsiveness of quantity demanded of a
commodity to change in its own price
x
x
Q
P
dP
dQ
E =
Types of price elasticity
1. Perfectly elastic demand E=∞
2. Relatively elastic demand E>1
3. Unitary elastic demand E=1
4. Relatively inelastic demand E<1
5. Perfectly inelastic demand E=0
D
D
How to measure?
• Point Elasticity: If price change is very small then point
elasticity is the appropriate measure of elasticity. Point
elasticity measures the elasticity at particular point of
demand curve.
• Here price elasticity of demand at point A is given by
x
x
Q
P
dP
dQ
E =
APx
QX
B
C
At point B, elasticity = infinity
At point C, elasticity = zero
Hence price elasticity varies along
a linear demand curve
How to measure?
• Arc Elasticity: If price change is relatively
large then Arc Elasticity is appropriate
measure
P1
P2
Q1 Q2
A
B
12
12
12
12
*
QQ
PP
PP
QQ
E
+
+
−
−
=
Sign of Price Elasticity of Demand
• Sign of price elasticity of demand is
always negative due to demand law.
However we always take absolute value to
explain the elasticity of demand.
• Sign is positive for Giffen goods
Determinants of Price Elasticity of
Demand
• Availability of substitute: elastic
• Time horizon: in long run demand is elastic
• Habit: inelastic
• Definition of market: Narrowly defined
market =>elastic demand
• Necessities vs luxuries: Necessities =>
inelastic demand
Income elasticity of demand
incomeYHere
Q
Y
==
dY
dQ
E
1.Income elasticity is positive for Normal goods
and negative for inferior goods
2. Income elasticity of demand is greater than
one for luxuries and less than one for
necessities.
Cross elasticity of demand
x
y
y
x
xy
Q
P
dP
dQ
E *=
Cross elasticity is positive for substitute and
negative for complementary goods
Numerical example
• Let the demand equation is Q=60 – 10 P.
Find the price elasticity of demand when
price increases from Rs 2 to Rs 3

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Elasticity 1

  • 1. Elasticity: Concept, Measurement and Determinants Dadhi Adhikari Kathmandu College of Management 20th Sept, 2007
  • 2. Meaning of Elasticity • Let Y=f(x) • Elasticity of Y with respect to X is defined as percentage change in Y due to one percent change in X • Mathematically ∞ ≅ ∆ ∆ == x x x x x x Q P Q P P% Q% dP dQ P Q inchange inchange E
  • 3. Price Elasticity of Demand • Responsiveness of quantity demanded of a commodity to change in its own price x x Q P dP dQ E =
  • 4. Types of price elasticity 1. Perfectly elastic demand E=∞ 2. Relatively elastic demand E>1 3. Unitary elastic demand E=1 4. Relatively inelastic demand E<1 5. Perfectly inelastic demand E=0 D D
  • 5. How to measure? • Point Elasticity: If price change is very small then point elasticity is the appropriate measure of elasticity. Point elasticity measures the elasticity at particular point of demand curve. • Here price elasticity of demand at point A is given by x x Q P dP dQ E = APx QX B C At point B, elasticity = infinity At point C, elasticity = zero Hence price elasticity varies along a linear demand curve
  • 6. How to measure? • Arc Elasticity: If price change is relatively large then Arc Elasticity is appropriate measure P1 P2 Q1 Q2 A B 12 12 12 12 * QQ PP PP QQ E + + − − =
  • 7. Sign of Price Elasticity of Demand • Sign of price elasticity of demand is always negative due to demand law. However we always take absolute value to explain the elasticity of demand. • Sign is positive for Giffen goods
  • 8. Determinants of Price Elasticity of Demand • Availability of substitute: elastic • Time horizon: in long run demand is elastic • Habit: inelastic • Definition of market: Narrowly defined market =>elastic demand • Necessities vs luxuries: Necessities => inelastic demand
  • 9. Income elasticity of demand incomeYHere Q Y == dY dQ E 1.Income elasticity is positive for Normal goods and negative for inferior goods 2. Income elasticity of demand is greater than one for luxuries and less than one for necessities.
  • 10. Cross elasticity of demand x y y x xy Q P dP dQ E *= Cross elasticity is positive for substitute and negative for complementary goods
  • 11. Numerical example • Let the demand equation is Q=60 – 10 P. Find the price elasticity of demand when price increases from Rs 2 to Rs 3