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Elasticity slide 1
ELASTICITY
Elasticity is the concept economists use to
describe the steepness or flatness of curves or
functions.
In general, elasticity measures the responsiveness
of one variable to changes in another variable.
Elasticity slide 2
PRICE ELASTICITY OF
DEMAND
Measures the responsiveness of quantity
demanded to changes in a good’s own price.
The price elasticity of demand is the percent
change in quantity demanded divided by the
percent change in price that caused the change
in quantity demanded.
Elasticity slide 3
FACTS ABOUT ELASTICITY
It’s always a ratio of percentage changes.
That means it is a pure number -- there are no units
of measurement on elasticity.
Price elasticity of demand is computed along a
demand curve.
Elasticity is not the same as slope.
Value Meaning
Ed = 0 Perfectly inelastic
1 > Ed > 0 Relatively inelastic.
Ed = 1 Unit (or unitary) elastic.
∞ > Ed > 1 Relatively elastic.
Ed = ∞ Perfectly elastic
Elasticity slide 5
LOTS OF ELASTICITIES!
THERE ARE LOTS OF WAYS TO COMPUTE
ELASTICITIES. SO BEWARE! THE DEVIL IS IN
THE DETAILS.
MOST OF THE AMBIGUITY IS DUE TO THE MANY
WAYS YOU CAN COMPUTE A PERCENTAGE
CHANGE. BE ALERT HERE. IT’S NOT
DIFFICULT, BUT CARE IS NEEDED.
Elasticity slide 6
What’s the percent increase in price here
because of the shift in supply?
pE = $2
QE
S
D
Q
price
S'
pE = $2.50
CIGARETTE MARKET
Elasticity slide 7
IS IT:
A) [.5/2.00] times 100?
B) [.5/2.50] times 100?
C) [.5/2.25] times 100?
Elasticity slide 8
From time to time economists have used ALL of these
measures of percentage change --
including the “Something else”!
Notice that the numerical values of the percentage
change in price is different for each case:
Go to hidden slide
Elasticity slide 10
Economists usually use the “midpoint”
formula (option C), above) to compute
elasticity in cases like this in order to
eliminate the ambiguity that arises if we
don’t know whether price increased or
decreased.
Elasticity slide 11
Using the Midpoint Formula
Elasticity =
% change in p = times 100.
% change in p =
For the prices $2 and $2.50, the % change in p is
approx. 22.22 percent.
P
in
change
%
Q
in
change
%
P
average
P
in
change
100
)
P
P
(
MEAN


Elasticity slide 12
What’s the percent change in Q due to the
shift in supply?
pE = $2.00
QE = 10
S
D
Q (millions)
price
S'
pE’ = $2.50
CIGARETTE MARKET
QE’ = 7
Elasticity slide 13
Use the midpoint formula again.
Elasticity =
% change in Q =
% change in Q =
For the quantities of 10 and 7, the % change in Q is
approx. -35.3 percent. (3/8.5 times 100)
P
in
change
%
Q
in
change
%
Q
average
Q
in
change
100
)
Q
Q
(
MEAN


Elasticity slide 14
NOW COMPUTE ELASTICITY
% change in p = 22.22 percent
% change in Q = -35.3 percent
E = -35.3 / 22.22 = -1.6 (approx.)
Elasticity slide 15
But you can do the other options as well:
A) If you use the low price, and its corresponding
quantity, as the base values, then elasticity = 1.2
B) If you use the high price, and its corresponding
quantity, as the base values, then elasticity = 2.1
(approx.)
C) And the midpoint formula gave 1.6 (approx.)
SAME PROBLEM...DIFFERENT ANSWERS!!!
Elasticity slide 16
MORE ELASTICITY
COMPUTATIONS
Q
P
QUANTITY PRICE
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
10 0
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
Compute elasticity between
prices of $9 and $8.
Elasticity slide 17
The % change in Q =
The % change in P =
Therefore elasticity =
USE THE MIDPOINT FORMULA.
Go to hidden slide
Elasticity slide 20
Now we try different prices
Q
P
QUANTITY PRICE
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
10 0
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
Compute elasticity between
prices of $3 and $2.
Elasticity slide 21
The % change in Q =
The % change in P =
Therefore elasticity =
Go to hidden slide
Elasticity slide 24
ELASTICITY IS NOT SLOPE!
Q
P Note that elasticity is different
at the two points even though
the slope is the same.
(Slope = -1)
QUANTITY PRICE
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
10 0
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
E = -5.67
E = -.33
Elasticity slide 25
TERMS TO LEARN
Demand is ELASTIC when the numerical value of
elasticity is greater than 1.
Demand is INELASTIC when the numerical value of
elasticity is less than 1.
Demand is UNIT ELASTIC when the numerical value
of elasticity equals 1.
NOTE: Numerical value here means “absolute value.”
Elasticity slide 26
LIKE THIS!
Q
P
QUANTITY PRICE
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
10 0
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
Demand is elastic here.
Demand is inelastic here.
Elasticity slide 27
There is an important relationship between what
happens to consumers’ spending on a good and
elasticity when there is a change in price.
Spending on a good = P Q.
Because demand curves are negatively sloped, a
reduction in P causes Q to rise and the net effect
on PQ is uncertain, and depends on the elasticity
of demand.
Elasticity slide 28
Q
P
At P = $9, spending is $9 (= 1 times $9).
At P = $8, spending is $16 ( = 2 times $8).
When price fell from $9 to $8, spending rose. Q must
haveincreased by a larger percent than P decreased.
So...
QUANTITY PRICE
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
10 0
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
Demand is elastic here.
Elasticity slide 29
Q
P
At P = $3, spending is $21 (= 7 times $3).
At P = $2, spending is $16 ( = 8 times $2).
When price fell from $3 to $2, spending fell. Q must have
increased by a smaller percent than P decreased. So...
QUANTITY PRICE
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
10 0
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
Demand is inelastic here.
Elasticity slide 30
There is an easy way to tell whether demand is elastic or
inelastic between any two prices.
If, when price falls, total spending increases, demand is
elastic.
If, when price falls, total spending decreases, demand is
inelastic.
Elasticity slide 31
But total spending is easy to see using a
demand curve graph:
Q
P
The shaded area is P times Q,
or total spending when P = $9.
QUANTITY PRICE
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
10 0
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
Elasticity slide 32
Q
P
The shaded area is P times Q
or total spending when P = $8.
QUANTITY PRICE
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
10 0
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
Elasticity slide 33
Q
P
Total spending is higher at the price
of $8 than it was at the price of $9.
= loss in TR
due to fall in P
= gain in TR due to
rise in Q
QUANTITY PRICE
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
10 0
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
Elasticity slide 34
Q
P
The shaded area is total
spending (total revenue of
sellers) when P = $3.
QUANTITY PRICE
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
10 0
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
Elasticity slide 35
Q
P
Total revenue of sellers (total
spending by buyers) falls when
price falls from $3 to $2.
QUANTITY PRICE
0 10
1 9
2 8
3 7
4 6
5 5
6 4
7 3
8 2
9 1
10 0
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
Elasticity slide 36
Here’s a convenient way to think of the
relative elasticity of demand curves.
p
Q
p*
Q*
relatively more inelastic
at p*
relatively more elastic
at p*
Elasticity slide 37
Examples of elasticity
A labor union negotiates a higher wage. How does
this affect the incomes of affected workers as a
group?
MSU decides to raise the price of football tickets.
How is income from the sale of tickets affected?
Airlines propose to raise fares by 10%. Will the
boost increase revenues?
MSU is considering raising tuition by 7%. Will the
increase in tuition raise revenues of MSU?
Elasticity slide 38
MORE ...
Elasticity slide 39
The answers to all of these questions depend on
the elasticity of demand for the good in
question. Be sure you understand how and
why!
Elasticity slide 40
DETERMINANTS OF DEMAND
ELASTICITY
The more substitutes there are available for a good,
the more elastic the demand for it will tend to be.
[Related to the idea of necessities and luxuries.
Necessities tend to have few substitutes.]
The longer the time period involved, the more elastic
the demand will tend to be.
The higher the fraction of income spent on the good,
the more elastic the demand will tend to be.
Elasticity slide 41
OTHER ELASTICITY MEASURES
In principle, you can compute the elasticity
between any two variables.
Income elasticity of demand
Cross price elasticity of demand
Elasticity of supply
Elasticity slide 42
Each of these concepts has the expected definition.
For example, income elasticity of demand is the
percent change in quantity demand divided by a
percent change income:
EINCOME =
Income elasticity of demand will be positive for
normal goods, negative for inferior ones.
I
in
change
%
Q
in
change
%
Elasticity slide 43
Often an assignment or a test will ask you the
follow up question "Is the good a luxury
good,
a normal good,
or an inferior good between the income range of
SDG 40,000 and SDG 50,000?
To answer that uses the following rule of
thumb:
Elasticity slide 44
If IEoD > 1 then the good is a Luxury Good and
Income Elastic
If IEoD < 1 and IEOD > 0 then the good is a
Normal Good and Income Inelastic.
If IEoD < 0 then the good is an Inferior Good
Cross Elasticity of Demand
The cross price elasticity of demand
(CPED)(XED) measures the responsiveness
of changes in the quantity demanded to
changes in the price of a different good.
Elasticity slide 45
It is calculated using the following
formula;
 XED=
P
Q
Q
P



Example:
 XED Pepsi with respect to cola
 A is the subject of this study
 Q Demanded (Pepsi) (A)
P ( Cola) (B)
1000
1
1500
2
C
P
P
C
P
Q
Q
P




 =
2
1
1
500
1000
1


Sign and size
 Substitute goods are alternative. Therefore,
XED will be positive,
 The weak substitutes like tea and coffee will
have a low XED. ( near from zero)
 Tesco bread and Sainsburys bread are close
substitutes so XED is higher. (a way from
zero)

 Complements goods;
 These are goods which are used
together, therefore XED is negative.
 If the price of DVD players fall, then
there will be an increase in demand
for DVD disks,
When XED = 0
It means that there is no relationship
between the two goods under study

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L.5.pptx

  • 1. Elasticity slide 1 ELASTICITY Elasticity is the concept economists use to describe the steepness or flatness of curves or functions. In general, elasticity measures the responsiveness of one variable to changes in another variable.
  • 2. Elasticity slide 2 PRICE ELASTICITY OF DEMAND Measures the responsiveness of quantity demanded to changes in a good’s own price. The price elasticity of demand is the percent change in quantity demanded divided by the percent change in price that caused the change in quantity demanded.
  • 3. Elasticity slide 3 FACTS ABOUT ELASTICITY It’s always a ratio of percentage changes. That means it is a pure number -- there are no units of measurement on elasticity. Price elasticity of demand is computed along a demand curve. Elasticity is not the same as slope.
  • 4. Value Meaning Ed = 0 Perfectly inelastic 1 > Ed > 0 Relatively inelastic. Ed = 1 Unit (or unitary) elastic. ∞ > Ed > 1 Relatively elastic. Ed = ∞ Perfectly elastic
  • 5. Elasticity slide 5 LOTS OF ELASTICITIES! THERE ARE LOTS OF WAYS TO COMPUTE ELASTICITIES. SO BEWARE! THE DEVIL IS IN THE DETAILS. MOST OF THE AMBIGUITY IS DUE TO THE MANY WAYS YOU CAN COMPUTE A PERCENTAGE CHANGE. BE ALERT HERE. IT’S NOT DIFFICULT, BUT CARE IS NEEDED.
  • 6. Elasticity slide 6 What’s the percent increase in price here because of the shift in supply? pE = $2 QE S D Q price S' pE = $2.50 CIGARETTE MARKET
  • 7. Elasticity slide 7 IS IT: A) [.5/2.00] times 100? B) [.5/2.50] times 100? C) [.5/2.25] times 100?
  • 8. Elasticity slide 8 From time to time economists have used ALL of these measures of percentage change -- including the “Something else”! Notice that the numerical values of the percentage change in price is different for each case: Go to hidden slide
  • 9. Elasticity slide 10 Economists usually use the “midpoint” formula (option C), above) to compute elasticity in cases like this in order to eliminate the ambiguity that arises if we don’t know whether price increased or decreased.
  • 10. Elasticity slide 11 Using the Midpoint Formula Elasticity = % change in p = times 100. % change in p = For the prices $2 and $2.50, the % change in p is approx. 22.22 percent. P in change % Q in change % P average P in change 100 ) P P ( MEAN  
  • 11. Elasticity slide 12 What’s the percent change in Q due to the shift in supply? pE = $2.00 QE = 10 S D Q (millions) price S' pE’ = $2.50 CIGARETTE MARKET QE’ = 7
  • 12. Elasticity slide 13 Use the midpoint formula again. Elasticity = % change in Q = % change in Q = For the quantities of 10 and 7, the % change in Q is approx. -35.3 percent. (3/8.5 times 100) P in change % Q in change % Q average Q in change 100 ) Q Q ( MEAN  
  • 13. Elasticity slide 14 NOW COMPUTE ELASTICITY % change in p = 22.22 percent % change in Q = -35.3 percent E = -35.3 / 22.22 = -1.6 (approx.)
  • 14. Elasticity slide 15 But you can do the other options as well: A) If you use the low price, and its corresponding quantity, as the base values, then elasticity = 1.2 B) If you use the high price, and its corresponding quantity, as the base values, then elasticity = 2.1 (approx.) C) And the midpoint formula gave 1.6 (approx.) SAME PROBLEM...DIFFERENT ANSWERS!!!
  • 15. Elasticity slide 16 MORE ELASTICITY COMPUTATIONS Q P QUANTITY PRICE 0 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 10 0 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14 Compute elasticity between prices of $9 and $8.
  • 16. Elasticity slide 17 The % change in Q = The % change in P = Therefore elasticity = USE THE MIDPOINT FORMULA. Go to hidden slide
  • 17. Elasticity slide 20 Now we try different prices Q P QUANTITY PRICE 0 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 10 0 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14 Compute elasticity between prices of $3 and $2.
  • 18. Elasticity slide 21 The % change in Q = The % change in P = Therefore elasticity = Go to hidden slide
  • 19. Elasticity slide 24 ELASTICITY IS NOT SLOPE! Q P Note that elasticity is different at the two points even though the slope is the same. (Slope = -1) QUANTITY PRICE 0 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 10 0 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14 E = -5.67 E = -.33
  • 20. Elasticity slide 25 TERMS TO LEARN Demand is ELASTIC when the numerical value of elasticity is greater than 1. Demand is INELASTIC when the numerical value of elasticity is less than 1. Demand is UNIT ELASTIC when the numerical value of elasticity equals 1. NOTE: Numerical value here means “absolute value.”
  • 21. Elasticity slide 26 LIKE THIS! Q P QUANTITY PRICE 0 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 10 0 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14 Demand is elastic here. Demand is inelastic here.
  • 22. Elasticity slide 27 There is an important relationship between what happens to consumers’ spending on a good and elasticity when there is a change in price. Spending on a good = P Q. Because demand curves are negatively sloped, a reduction in P causes Q to rise and the net effect on PQ is uncertain, and depends on the elasticity of demand.
  • 23. Elasticity slide 28 Q P At P = $9, spending is $9 (= 1 times $9). At P = $8, spending is $16 ( = 2 times $8). When price fell from $9 to $8, spending rose. Q must haveincreased by a larger percent than P decreased. So... QUANTITY PRICE 0 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 10 0 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14 Demand is elastic here.
  • 24. Elasticity slide 29 Q P At P = $3, spending is $21 (= 7 times $3). At P = $2, spending is $16 ( = 8 times $2). When price fell from $3 to $2, spending fell. Q must have increased by a smaller percent than P decreased. So... QUANTITY PRICE 0 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 10 0 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14 Demand is inelastic here.
  • 25. Elasticity slide 30 There is an easy way to tell whether demand is elastic or inelastic between any two prices. If, when price falls, total spending increases, demand is elastic. If, when price falls, total spending decreases, demand is inelastic.
  • 26. Elasticity slide 31 But total spending is easy to see using a demand curve graph: Q P The shaded area is P times Q, or total spending when P = $9. QUANTITY PRICE 0 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 10 0 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14
  • 27. Elasticity slide 32 Q P The shaded area is P times Q or total spending when P = $8. QUANTITY PRICE 0 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 10 0 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14
  • 28. Elasticity slide 33 Q P Total spending is higher at the price of $8 than it was at the price of $9. = loss in TR due to fall in P = gain in TR due to rise in Q QUANTITY PRICE 0 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 10 0 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14
  • 29. Elasticity slide 34 Q P The shaded area is total spending (total revenue of sellers) when P = $3. QUANTITY PRICE 0 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 10 0 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14
  • 30. Elasticity slide 35 Q P Total revenue of sellers (total spending by buyers) falls when price falls from $3 to $2. QUANTITY PRICE 0 10 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 10 0 0 2 4 6 8 10 12 14 0 2 4 6 8 10 12 14
  • 31. Elasticity slide 36 Here’s a convenient way to think of the relative elasticity of demand curves. p Q p* Q* relatively more inelastic at p* relatively more elastic at p*
  • 32. Elasticity slide 37 Examples of elasticity A labor union negotiates a higher wage. How does this affect the incomes of affected workers as a group? MSU decides to raise the price of football tickets. How is income from the sale of tickets affected? Airlines propose to raise fares by 10%. Will the boost increase revenues? MSU is considering raising tuition by 7%. Will the increase in tuition raise revenues of MSU?
  • 34. Elasticity slide 39 The answers to all of these questions depend on the elasticity of demand for the good in question. Be sure you understand how and why!
  • 35. Elasticity slide 40 DETERMINANTS OF DEMAND ELASTICITY The more substitutes there are available for a good, the more elastic the demand for it will tend to be. [Related to the idea of necessities and luxuries. Necessities tend to have few substitutes.] The longer the time period involved, the more elastic the demand will tend to be. The higher the fraction of income spent on the good, the more elastic the demand will tend to be.
  • 36. Elasticity slide 41 OTHER ELASTICITY MEASURES In principle, you can compute the elasticity between any two variables. Income elasticity of demand Cross price elasticity of demand Elasticity of supply
  • 37. Elasticity slide 42 Each of these concepts has the expected definition. For example, income elasticity of demand is the percent change in quantity demand divided by a percent change income: EINCOME = Income elasticity of demand will be positive for normal goods, negative for inferior ones. I in change % Q in change %
  • 38. Elasticity slide 43 Often an assignment or a test will ask you the follow up question "Is the good a luxury good, a normal good, or an inferior good between the income range of SDG 40,000 and SDG 50,000? To answer that uses the following rule of thumb:
  • 39. Elasticity slide 44 If IEoD > 1 then the good is a Luxury Good and Income Elastic If IEoD < 1 and IEOD > 0 then the good is a Normal Good and Income Inelastic. If IEoD < 0 then the good is an Inferior Good
  • 40. Cross Elasticity of Demand The cross price elasticity of demand (CPED)(XED) measures the responsiveness of changes in the quantity demanded to changes in the price of a different good. Elasticity slide 45
  • 41. It is calculated using the following formula;
  • 43. Example:  XED Pepsi with respect to cola  A is the subject of this study  Q Demanded (Pepsi) (A) P ( Cola) (B) 1000 1 1500 2
  • 46. Sign and size  Substitute goods are alternative. Therefore, XED will be positive,  The weak substitutes like tea and coffee will have a low XED. ( near from zero)  Tesco bread and Sainsburys bread are close substitutes so XED is higher. (a way from zero) 
  • 47.  Complements goods;  These are goods which are used together, therefore XED is negative.  If the price of DVD players fall, then there will be an increase in demand for DVD disks,
  • 48. When XED = 0 It means that there is no relationship between the two goods under study