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Elasticity.ppt 1

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    ELASTICITY OF DEMAND

    Demand varies with price. But the variation is not uniform

    in all cases. Sometimes demand is greatly responsive to price and at

    times nominal or not so responsive. Economists use the term Elasticity for this response. To measure the E of D , 2 variables are considered-

    Demand and Determinants of demand.

    For Measuring the E coefficient , thus a ratio is made ofthe two variables.

    E of D= % change in qt. demanded / % change in

    determinant of demand There are 3 elasticities of D

    Price E Income E Cross Price E or just Cross Elasticity

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    Price Elasticity of Demand

    The price elasticity of demand (PED) is an

    elasticity that measures the nature andpercentage of the relationship between changes

    in quantity demanded of a good and changes in

    its price, other determinants remaining constant.

    The extent of response of demand for a

    commodity to a given change in price, other

    demand determinants remaining constant , is PE

    of D. It is the ratio of the relative change indemand and price variables.

    http://en.wikipedia.org/wiki/Elasticity_%28economics%29http://en.wikipedia.org/wiki/Pricehttp://en.wikipedia.org/wiki/Pricehttp://en.wikipedia.org/wiki/Elasticity_%28economics%29
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    The co-efficient of price elasticity (e) is measured as:

    E =

    Since relative change of variables can be measured either in

    terms of % change or proportional change, the PE co-efficient can

    be measured alternatively as

    E =

    % change in Qt. demanded

    % change in price

    Proportional change in Qt. demanded

    Proportional change in price

    Q/Q P/P = Q/Q X P/P

    or

    Q/ P = P/Q

    WhereQ= original demand (q1)

    P= the original price(p1)

    Q = the change in demand =

    new D(Q2)-old demand(Q1)

    Thus Q= Q2-Q1

    P = P2-P1

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    P = P2-P1 = 21-20 =1

    P=P1=20Q= Q2- Q1 = 96-100= -4

    Q=Q1=100

    E = -4/100X20/1= 4/5= -0.8

    EOD is less than 1.

    (minus sign ignored)

    P of Apples

    (Rs)

    Qt. Demanded

    (kg)

    20 (P1) 100(Q1)

    21 (P2) 96(Q2)

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    Deductions

    Depending upon the magnitudes andproportional changes involved in data on demandand prices, one may obtain various numericalvalues of co-efficient of PE, ranging rom zero to

    infinity. When PE Co-efficient is > than unity (e>1), it issaid to be price elastic.

    If e

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    Types of Price Elasticity

    Marshal suggested a 3-fold classofocation of types

    of PEDUnit EOD (e=1)

    Elastic D (e>1)

    Inelastic D (e

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    Price Elasticity of Demand

    NumericalValue

    Terminology Description

    E= infinity Perfectly (or infinitely) Elastic D Consumers have infinite demand at aparticular price and none at all at aneven slightly higher than this given

    price.

    E=0 Perfectly (or completely) Inelastic D D remains unchanged , whatever bethe change in price.

    E>1 Relatively Elastic D Qt. demanded changes by a largepercentage as does price

    E

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    Perfectly E Demand (e=infinity)

    An endless demand(infinite) demand at thegiven price is PED.

    With Slight increase inprice of a commodity, thestops buying it.

    But the decrease in pricethe demand curve will shiftdownwards. PED is atheoretical extremity,hardly encountered in

    practice. D curve is straight

    horizontal line

    P increases D= 0P1

    P2

    P

    D1D1

    DD

    Price

    Qt Purchased/unit of time

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    Perfectly Inelastic Demand (e=0)

    When demand of acommodity shows noresponse at all to achange in Price, the

    demand remainssame.

    D Curve is straightvertical line.

    Again a theoreticalconsideration but salthas PID as it is anabsolute necessity.

    P1

    P3

    P2

    DD

    Price

    Qt Purchased/unit of time

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    Relatively Elastic D or More Elastic Demand (e>1)

    When the proportion of

    change in the qt.demanded is greater thanthat of the price, thedemand is said to berelatively elastic.

    The numerical value liesbetween 1 and infinity.Represented by graduallysloping rather flatter Dcurve.

    Realistic and practicalconcept.

    P1

    P2DD

    Price

    Qt Purchased/unit of time

    M1 M2

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    Relatively Inelastic D or Less Elastic Demand (e

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    Unitary Elastic Demand (e=1)

    When the proportionof change in demandis exactly the same asthe change in price,

    the D is said to beunitary elastic.

    Numerical value ofUE=1. D curve wouldbe rectangular

    hyperbola.

    P1

    P2

    DD

    Price

    Qt Purchased/unit of time

    M1 M2

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    Factors Influencing EOD

    Nature of Commodity: Luxury, comfort and necessity goods. Luxury and comfort

    goods are price elastic.Ex: Radio, furniture, car, etc.

    Necessity goods are price inelastic

    Ex: Food grains, cloth, salt, etc.

    Availability of substitutes: Commodities having close substitutes - D = elastic

    Ex: Tea, coffee, coke No substitutes D = inelastic

    Ex: salt, potatoes, onion.

    Number of Uses: Single (less elastic) and multi-use goods (high elastic).

    Ex: coal is used by railways (inelastic) and consumersas fuel (elastic)

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    Consumers Income: Larger Income-demand for overall commodities- relatively inelastic. Millionaire rarely affected.

    Redistribution of income in favour of low income people may tendto make demand for some goods relatively elastic.

    Height of Price and Range of Price change: In luxury goods , for a small change in price, the demand is

    inelastic. If large change in price then D is elastic.

    Perishable goods: change in P D is inelastic (potatoes, onions) Proportion of expenditure: Cheap or small expenditure items tend to have more demand

    inelasticity than expensive or large expenditure items

    Durability of Commodity: Durable goods: D inelastic in short run. Perishable goods: D- elastic. Ex: Milk, Vegetables

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    Habit:E< 1.

    Ex: Cigarettes- inelastic demand

    Complementary goods: Goods jointly demanded have less elasticity (Inelasticity ):

    Ex: Ink, Pen.

    Time :

    In SR D is less elastic. In LR D is more elastic. D for certain goods can be postponed in SR but has to be satisfied in LR.

    Recurrence of Demand: D of a commodity is of recuring nature, its PE is higher.

    Ex: Pizza, Buger, etc.

    But less for goods purchased only once.Ex: Bicycles, Tape recorders.

    Possibility of postponement: If the purchase is postponed, D will be elastic.

    Ex: Cement, Bricks, etc

    In consumption goods- Inelastic

    P ti l A li ti f PED

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    Practical Applications of PED

    Production Planning Helps in fixing the prices of different goods

    Helps in fixing the rewards of factor inputs

    Helps in determining the foreign exchangerates

    Helps in determining the terms of trade

    Helps in fixing the rate of taxes

    Helps in Declaration of Public Utilities

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    Income Elasticity

    Income is a major determinant of D for a number

    of goods.

    D= f(m)

    IED measures the degree of responsiveness ofdemand for a good to changes in the

    consumers income.

    DEF: The IE is defined as a ratio percentage orproportional change in the quantity demanded to

    the % or proportional change in income.

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    IE= coefficient is thus measured as

    IE = % change in Qt. demanded

    % change in income

    Em= % Q/ M = Q/Q X M/ M

    or

    Q/ M = M/Q

    Where

    Q= original demand (q1)

    M= Initial Income (M1)

    Thus Q= Q2-Q1

    M = M2-M1

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    Types of IE

    Unitary ED (Em=1)

    IE of D > unity (Em>1)

    IE of D =0 and

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    Determinants of IED

    Nature of the Product

    Level of Income in a country Time Period

    P ti l A li ti f IE

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    Practical Applications of IE

    Rate of Growth of the firm

    Housing Development Strategies

    Ensuring Stability in Production

    Long term Business Planning

    Production Planning and

    Market Strategy

    C El ti it f D d

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    Cross Elasticity of Demand

    Def: The cross elasticity of demand reers to the degree of responsiveness ofdemand for a commodity to a given change in the price of some relatedcommodity.

    The cross elasticity of D between any 2 goods X and Y is measures by dividingthe proportionate change in the quantity demanded of X by the proportionatechange in the price of Y.

    +ve CED between 2 goods = substitutes. -ve CED between 2 goods= complementary

    CED= Prop or % change in D for X

    Prop or % change in Price of Y

    Ec or Exy=

    Qx /Qx Py/Py=

    Qx/ Py X Py/Qx

    Where

    Qx = change in qt. D for commodity X

    Qx= Initial D for X

    Py, Initial Price of Y

    Py=change in price of Y

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    Substitutes

    Unrelated

    Complementary

    D for comm X

    Ex

    y>0

    D for comm X

    D for comm X

    Exy


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