This document discusses elasticity of demand and various types of elasticities. It defines price elasticity of demand as the responsiveness of quantity demanded to a change in price. The percentage method and total outlay method are described for measuring price elasticity. Income elasticity measures the change in demand from a change in consumer income, while cross elasticity reflects the relationship between substitute and complementary goods. The importance of elasticity for determining price, taxation policies, and rewards to production factors is also noted.
2. Lecture plan
Objectives
Elasticity of demand
Price elasticity of demand
Degrees of price elasticity of demand
Methods of measuring elasticity
Revenue and price elasticity of demand
Income elasticity of demand
Cross elasticity of demand
Promotional elasticity of demand
Importance of elasticity
3. Objectives
To understand the meaning of responsiveness
of demand to changes in determinants of
demand.
To lay down the degrees of responsiveness of
demand.
To discuss various types of elasticities of
demand.
To learn how to measure elasticity by various
methods.
To understand the relevance and application of
elasticities of demand
4. Elasticity of Demand
“Elasticity” is a standard measure of the degree of
responsiveness (or sensitivity) of one variable to changes
in another variable.
Elasticity of Demand measures the degree of
responsiveness of demand for a commodity to a given
change in any of the independent variables that influence
demand for that commodity, such as price of the
commodity, price of the other commodities, income, taste,
preferences of the consumer and other factors.
Responsiveness implies the proportion by which the
quantity demanded of a commodity changes, in response
to a given change in any of its determinants .
5. Elasticity of Demand
Mathematically, it is the percentage change in
quantity demanded of a commodity to a percentage
change in any of the (independent) variables that
determine demand for the commodity.
Four major types of elasticity:
Income elasticity,
Cross elasticity
Price elasticity,
Advertising (or promotional) elasticity.
In order to assess the impact of one variable on demand,
we assume other variables as constant (ceteris paribus)
6. Price Elasticity of Demand
Price is most important among all the
independent variables that affect the demand for
any commodity.
Hence Price elasticity of demand ( “ep” or “e”) is
considered to be the most important of all types of
elasticity of demand.
Price elasticity of demand means the sensitivity
of quantity demanded of a commodity to a given
change in its own price.
7. Degrees of Price Elasticity
Perfectly elastic demand
ep=∞ (in absolute terms).
Unlimited quantities of the commodity
can be sold at the prevailing price
A negligible increase in price would
result in zero quantity demanded
Horizontal demand curve
Perfectly inelastic demand
The other extreme of the elasticity
range
ep=0 (in absolute terms)
Quantity demanded of a commodity
remains the same, irrespective of any
change in the price
Such goods are termed neutral
Vertical demand curve
Price
D
P
O
Q1
Q1
Quantity
D
Price
P1
P2
O
Q1
Quantity
8. Degrees of Price Elasticity
Highly elastic demand
Proportionate
change
in
quantity
demanded is more than a given change
in price
ep >1 (in absolute terms)
Such goods are called luxuries
Unitary elastic demand
Proportionate change in price brings
about an equal proportionate change in
quantity demanded
ep =1 (in absolute terms).
Demand curves are shaped like a
rectangular hyperbola, asymptotic to the
axes
Relatively inelastic demand
Proportionate
change
in
quantity
demanded is less than a proportionate
change in price
ep <1 (in absolute terms)
Such goods are called necessities
Price
D
P1
P2
D
O
Price
Q1
Q2
Quantity
D
P1
P2
D
O
Price
Q1 Q2
Quantity
D
P1
P2
O
Q1 Q2
D
Quantity
9. Methods of Measuring Elasticity
Ratio (or Percentage) Method
The most popular method used to measure elasticity
Elasticity of demand is expressed as the ratio of proportionate
change in quantity demanded and proportionate change in the
price of the commodity
It allows comparison of changes in two qualitatively different
variables
It helps in deciding how big a change in price or quantity is
ep =
Proportionate change in quantity demanded of commodity X
Proportionate change in price of commodity X
ep=
Q2 − Q1 / Q1
P2 − P / P
1
1
where Q1= original quantity demanded, Q2= new quantity
demanded, P1= original price level, P2= new price level
10. Methods of Measuring Elasticity
Contd…
Point Elasticity Method
Elasticity measured at a point of demand curve is referred
as point elasticity of demand.
For nonlinear demand curve we need to apply calculus
to calculate point elasticity.
As changes in price become smaller and approach zero,
∆
Q
the ratio ∆P becomes equivalent to the first order
dQ
derivative of the demand function with respect to price dP
Point elasticity can be expressed as:
ep =
dQ / Q
dP / P
=
dQ
.
dP
P
Q
11. Methods of Measuring Elasticity
Contd…
Arc Elasticity Method
Used
when the available figures on price and quantity
are discrete, and it is possible to isolate and calculate
the incremental changes.
It is used to find the elasticity at the midpoint of an
arc between any two points on a demand curve, by
taking the average of the prices and quantities.
This method finds wider applications, as it reflects a
movement along a portion (arc) of a demand curve
ep =
Q2 − Q1
(Q1 + Q2 ) / 2
Q2 − Q1
Q1 + Q2
=
/
.
P2 − P1
( P1 + P2 ) / 2
P + P2
1
P2 − P
1
12. Methods of Measuring Elasticity
Contd…
Total Outlay Method (Marshall)
Elasticity is measured by comparing expenditure levels before
and after any change in price, i.e. whether the new expenditure
is more than, or less than, or equal to the initial expenditure
level.
Helps a seller in taking a decision to raise price only if:
Reduction in quantity demanded does not reduce total
revenue or
Reduction in price increases the quantity demanded to the
extent that total revenue also increases.
Degrees
When demand is elastic, a decrease in price will result in an
increase in the revenue (sales).
When demand is inelastic, a decrease in price will result in
a decrease in the revenue (sales).
When demand is unit-elastic, an increase (or a decrease)
in price will not change the revenue (sales)
13. Determinants of Price Elasticity of
Demand
Nature of commodity
Necessities
are relatively price inelastic, while luxuries
are relatively price elastic
Availability and proximity of substitutes
Price
elasticity of demand of a brand of a product
would be quite high, given availability of other
substitute brands
Alternative uses of the commodity
If
a commodity can be put to more than one use, it
would be relatively price elastic
14. Determinants of Price Elasticity of
Demand
Proportion of income spent on the commodity
Time
Demand for any commodity is more price elastic in the long run
Durability of the commodity
The greater the proportion of income spent on a commodity, the
more sensitive would the commodity be to price
Reason is income effect
Perishable commodities like eatables are relatively price
inelastic in comparison to durable items
Items of addiction
Items of intoxication and addiction are relatively price inelastic
15. Revenue and Price Elasticity of
Demand
For relatively inelastic demand, a change in
price would have a greater effect on revenue
than a change in quantity demanded
AR is same as the price of the product
Demand
curve is also the AR curve of the firm.
Marginal Revenue is the revenue a firm gains in
producing one additional unit of a commodity
16. Revenue and Price Elasticity of
Demand
Till ep>1 MR is
positive and TR is
rising
At the midpoint of
the demand curve,
ep=1 and MR is
equal to 0 and TR
is at its peak
When ep<1, MR is
negative
MR= AR[1- ep]
Price,
Revenue ep=∞
ep>1
ep=1
ep<1
ep=0
O
Price,
Revenue
O
Quantity
MR
TR
Quantity
17. Income Elasticity of Demand (ey)
ey measures the degree of responsiveness of demand
for a good to a given change in income, ceteris paribus.
ey =
Proportionate change in quantity demanded of commodity X
Proportionate change in income of consumer
Degrees:
Positive income elasticity
Demand rises as income rises and vice versa
Normal good
Negative income elasticity
Demand falls as income rises and vice versa
Inferior good
18. Cross Elasticity of Demand
ec measures the responsiveness of demand of
one good to changes in the price of a related
good
Proportionate change in quantity demanded of commodity X
ec =
Proportionate change in price of commodity Y
Degrees
Negative Cross Elasticity
Complementary goods
Positive
Cross Elasticity
Substitute goods
19. Promotional Elasticity of Demand
Advertising (or promotional) elasticity of demand (e a) measures the
effect of incurring an “expenditure” on advertising, vis-à-vis an
increase in demand, ceteris paribus.
Some goods (like consumer goods) are more responsive to
advertising than others (like heavy capital equipments).
ea =
Proportionate change in quantity demanded (or sales) of commodity X
Proportionate change in advertising expenditure
Degrees
ea>1
Firm should go for heavy expenditure on advertisement.
ea <1
Firm should not spend too much on advertisement
20. Importance of Elasticity
Determination of price
Basis of price discrimination
Products having elastic demand may be sold at lower price,
while those having inelastic demand may be sold at high prices
Determination of rewards of factors of production
Elasticity is the basis of determining the price of a product
keeping its possible effects on the demand of the product in
perspective
Factors having inelastic demand are rewarded more than factors
that have relatively elastic demand.
Government policies of taxation
Goods having relatively elastic demand are taxed less than
those having relatively inelastic demand.
21. Summary
Elasticity of demand measures the degree of responsiveness of the
quantity demanded of a commodity to a given change in any of the
independent variables that influence demand for that commodity.
Price elasticity of demand (ep) measures the degree of responsiveness
of the quantity demanded of a commodity to a given change in its
price, other things remaining the same.
By the percentage method ep is expressed as the ratio of proportionate
change in quantity demanded and proportionate change in price of the
commodity.
As per the total outlay method elasticity is measured by comparing
expenditure levels before and after any change in price, i.e. whether
the new expenditure is more than, or less than, or equal to the initial
expenditure level.
Arc elasticity is used to calculate price elasticity of demand at the
midpoint of an arc between any two points on the demand curve, by
taking the average of the prices and quantities; point elasticity can be
approximated by calculating the arc elasticity for a very small arc on
the demand curve.
22. Summary
If the demand curve is a straight line, price elasticity of demand
at different points of the demand curve can be calculated by the
ratio of the lower segment and upper segment of the demand
curve.
MR= AR[1- ep]
Income elasticity of demand (ey) measures the degree of
responsiveness of the quantity demanded of a commodity to a
given change in consumer’s income. For normal goods e y is
positive; for neutral goods ey is zero; for inferior goods ey is
negative.
Cross elasticity of demand (ec) shows how changes in prices of
other goods would affect the demand for a particular good. For
substitutes ec is positive; and for complements ec is negative.
Advertising (or promotional) elasticity of demand (e a) measures
the effect of incurring an “expenditure” on advertising of a firm on
the demand for its product at constant price.
Elasticity is used for determination of right price by seller and for
taxation by government.
Hinweis der Redaktion
This slide also has an automatic response with ten second gaps in between each point. At this stage we have tried to keep things as simple as possible but to introduce issues that will be dealt with later in the course.