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Consumption Function
Consumption

Income is used for consumption and
savings

       Yd = C + S
If C = a + bYd
  Then S = Yd – C
          = Yd – a – bYd
          = - a + (1-b)Yd

Where Yd = personal disposable income
     C = consumption
     S = savings
     a,b = parameters
Components of Consumption
Non-durable goods – foods, drinks,
lighting & heating
Durable goods – furniture, kitchen
appliances, washing machines, cars,
ACs and other white goods.
Services – non durable – transport,
banking, insurance, health, education,
legal etc.
Keynes Psychological Law of
       consumption
When aggregate income increases, aggregate
consumption also increases, but by a
somewhat smaller amount.
Increase in income is divided in some
proportion between saving and spending.
Increase in income is unlikely to lead to less
savings or less spending than before.
Absolute Income Hypothesis
In his 1936 book on ‘The General Theory of
Employment, Interest & Money’, he advanced
the hypothesis that consumption has two
components:
    1. Autonomous (C0)
    2. Induced => varies directly with current
income through a linear function.
C = C0 + bY

Where C0, b > 0
And       b<1
or    0<b<1
Propensity to Consume
Expresses the relationship between
income and consumption.
Shows how consumption expenditure
changes as income varies.
Marginal Propensity to
            Consume

        change in consumption
mpc = -----------------------------------
         change in income
DY      C     S    mpc
 600    600    0     -
 800    760    40   0.8
1000    920    80   0.8
1200   1080   120   0.8
1400   1240   160   0.8
1600   1400   200   0.8
C o n s u m p tio n & D I   2000

                            1500

                            1000

                            500

                              0
                                   1   2   3   4   5   6
                             DY
                             C
Savings Function
Aggregate Savings is the difference
between disposable income and
consumption expenditure.
Savings function is the schedule relating
total consumer savings to total
disposable income in the economy.
Marginal Propensity to Save

       change in savings
mps = ------------------------
       change in income

     mpc + mps = 1
Under the AIH, the mpc is a constant
‘b’.
               δC
     mpc = ---------- = b
               δY
Average propensity to consume falls as
the income increases.
             C           C0
   APC = --------- = --------- + b
             Y            Y

APC -> MPC as Y -> infinity
Corollary

mps is a constant (=1-b)
aps increases as income increases
 S=Y–C
   = Y – C0 – bY
    = - C0 + (1-b)Y
δS
mps = ---------- = 1-b
         δY

          Co
APS = ---------- + (1-b)
           Y
APS -> MPS as Y -> infinity.
MPC + MPS = 1
APC + APS = 1
As economy prospers, Y and savings
rate (S/Y=APS) goes up.
Rich people and rich countries have
high savings rates as compared to poor
people and poor countries.
Prosperity leads to stagnation.
Permanent Income Hypothesis
 Given by Milton Friedman (1957)
 Consumption is determined by long
 term expected income rather than the
 current level of income
 long term expected income is called
 permanent income
 People experience random and
 temporary changes in their income from
 year to year
Current income is the sum of two
components: permanent income YP and
transitory Income YT.
         Y = YP + YT

Permanent income is that part of the
income that people expect to persist
into the future.
Transitory income is the random
deviation from it
Consumption should depend primarily
on permanent income.

        C = α YP

Where α = fraction of permanent income
consumed
Keynes               Friedman

            C           YP
  APC = --------- = α -------
            Y            Y
Rational Expectations &
Random-Walk Consumption
Forward-looking consumers base their
consumption decisions not only on their
current income but also on the income they
expect to receive in the future.

Rational expectation

People will make optimal forecasts about the
future.
Robert Hall was the first to derive the
implications of rational expectations for
consumption.
=> changes in consumption over time
should be unpredictable
– follow a “Random Walk”
=> changes in consumption reflect
“surprises” about lifetime income.
Determinants of Consumption
         Function
Wealth & Distribution of Wealth
Relative Income =>
1. Current income relative to past peak
income (Y/Ymp).
2. Own income relative to average
income of the neighbourhood.
(Demonstration / Bandwagon Effect)
Determinants (cont…)

Interest Rate
Credit availability
Consumer’s expectations
Consumption Function
C = f { Y, W, Y/Ymp, i, CA, CE, IWD, µ}
 Y = income
 W = wealth
 Ymp = maximum past income
 i = interest rate
 CA = ease of credit availability
 CE = consumer’s expectations
 IWD = inequality of income/ wealth distribution
 µ = unknown/other factors
The Multiplier
Concept
Multiplier expresses the relationship between
an initial increment in investment and the
final increment in aggregate income.
It is the ratio of the change in income to the
change in investment.
            Y
  K = -----------
           I
Multiplier & MPC

The size of the multiplier depends upon
the size of the mpc.

The higher the mpc, the higher is the
size of the multiplier; the lower the
mpc, lower is the size of the multiplier.
An example
Building a woodshed
Initial/primary investment = Rs. 1,000 =>
income of carpenter & lumber producer (say
tier one consumer ‘A’) = Rs. 1,000
Let mpc = 2/3
Expenditure by A on consumption goods
= 2/3*1000 = 666.67
Producer’s income = Rs. 666.67
Expenditure (B) = 2/3 * 666.67 = 444.44
Example (cont…)
Total income generated =

(1 x 1000) + 2/3(1000) + (2/3)2(1000) +
(2/3)3(1000) + ----------

        1
= ------------- x 1000 = 3000
    1 – 2/3
1             1
  K = ---------- = -----------
        1-m             s

The size of the multiplier depends on
the size of the mpc or the mps
Limiting case

 if mpc = 0
        K=1
If mpc = 1
        K = infinity
Aggregate Demand
Total amount of goods demanded in the
economy.
   AD = C + I + G + (X-M)
Equilibrium is achieved when
  Quantity supplied = quantity demanded
        Y = AD = C + I + G + (X-M)
Diagrammatic representation
                                    AD=Y

                               E1      AD
Aggregate Demand




                   ADo
                                        C
                         E0




                          Yo   Y1   Income
Assumptions / Limitations

Availability of consumer goods
Maintenance of investment
No change in mpc
Existence of less than full employment
Criticisms
Prof Henry Hazlitt
  There is no precise, pre-determinable
  relationship between investment and
  income
  Assumes unemployment
  The propensity to consume assumes
  that what is not spent on
 consumption is not spent at all

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5 consumption function

  • 2. Consumption Income is used for consumption and savings Yd = C + S
  • 3. If C = a + bYd Then S = Yd – C = Yd – a – bYd = - a + (1-b)Yd Where Yd = personal disposable income C = consumption S = savings a,b = parameters
  • 4. Components of Consumption Non-durable goods – foods, drinks, lighting & heating Durable goods – furniture, kitchen appliances, washing machines, cars, ACs and other white goods. Services – non durable – transport, banking, insurance, health, education, legal etc.
  • 5. Keynes Psychological Law of consumption When aggregate income increases, aggregate consumption also increases, but by a somewhat smaller amount. Increase in income is divided in some proportion between saving and spending. Increase in income is unlikely to lead to less savings or less spending than before.
  • 6. Absolute Income Hypothesis In his 1936 book on ‘The General Theory of Employment, Interest & Money’, he advanced the hypothesis that consumption has two components: 1. Autonomous (C0) 2. Induced => varies directly with current income through a linear function.
  • 7. C = C0 + bY Where C0, b > 0 And b<1 or 0<b<1
  • 8. Propensity to Consume Expresses the relationship between income and consumption. Shows how consumption expenditure changes as income varies.
  • 9. Marginal Propensity to Consume change in consumption mpc = ----------------------------------- change in income
  • 10. DY C S mpc 600 600 0 - 800 760 40 0.8 1000 920 80 0.8 1200 1080 120 0.8 1400 1240 160 0.8 1600 1400 200 0.8
  • 11. C o n s u m p tio n & D I 2000 1500 1000 500 0 1 2 3 4 5 6 DY C
  • 12. Savings Function Aggregate Savings is the difference between disposable income and consumption expenditure. Savings function is the schedule relating total consumer savings to total disposable income in the economy.
  • 13. Marginal Propensity to Save change in savings mps = ------------------------ change in income mpc + mps = 1
  • 14. Under the AIH, the mpc is a constant ‘b’. δC mpc = ---------- = b δY
  • 15. Average propensity to consume falls as the income increases. C C0 APC = --------- = --------- + b Y Y APC -> MPC as Y -> infinity
  • 16. Corollary mps is a constant (=1-b) aps increases as income increases S=Y–C = Y – C0 – bY = - C0 + (1-b)Y
  • 17. δS mps = ---------- = 1-b δY Co APS = ---------- + (1-b) Y APS -> MPS as Y -> infinity.
  • 18. MPC + MPS = 1 APC + APS = 1 As economy prospers, Y and savings rate (S/Y=APS) goes up. Rich people and rich countries have high savings rates as compared to poor people and poor countries. Prosperity leads to stagnation.
  • 19. Permanent Income Hypothesis Given by Milton Friedman (1957) Consumption is determined by long term expected income rather than the current level of income long term expected income is called permanent income People experience random and temporary changes in their income from year to year
  • 20. Current income is the sum of two components: permanent income YP and transitory Income YT. Y = YP + YT Permanent income is that part of the income that people expect to persist into the future. Transitory income is the random deviation from it
  • 21. Consumption should depend primarily on permanent income. C = α YP Where α = fraction of permanent income consumed
  • 22. Keynes Friedman C YP APC = --------- = α ------- Y Y
  • 23. Rational Expectations & Random-Walk Consumption Forward-looking consumers base their consumption decisions not only on their current income but also on the income they expect to receive in the future. Rational expectation People will make optimal forecasts about the future.
  • 24. Robert Hall was the first to derive the implications of rational expectations for consumption. => changes in consumption over time should be unpredictable – follow a “Random Walk” => changes in consumption reflect “surprises” about lifetime income.
  • 25. Determinants of Consumption Function Wealth & Distribution of Wealth Relative Income => 1. Current income relative to past peak income (Y/Ymp). 2. Own income relative to average income of the neighbourhood. (Demonstration / Bandwagon Effect)
  • 26. Determinants (cont…) Interest Rate Credit availability Consumer’s expectations
  • 27. Consumption Function C = f { Y, W, Y/Ymp, i, CA, CE, IWD, µ} Y = income W = wealth Ymp = maximum past income i = interest rate CA = ease of credit availability CE = consumer’s expectations IWD = inequality of income/ wealth distribution µ = unknown/other factors
  • 29. Concept Multiplier expresses the relationship between an initial increment in investment and the final increment in aggregate income. It is the ratio of the change in income to the change in investment. Y K = ----------- I
  • 30. Multiplier & MPC The size of the multiplier depends upon the size of the mpc. The higher the mpc, the higher is the size of the multiplier; the lower the mpc, lower is the size of the multiplier.
  • 31. An example Building a woodshed Initial/primary investment = Rs. 1,000 => income of carpenter & lumber producer (say tier one consumer ‘A’) = Rs. 1,000 Let mpc = 2/3 Expenditure by A on consumption goods = 2/3*1000 = 666.67 Producer’s income = Rs. 666.67 Expenditure (B) = 2/3 * 666.67 = 444.44
  • 32. Example (cont…) Total income generated = (1 x 1000) + 2/3(1000) + (2/3)2(1000) + (2/3)3(1000) + ---------- 1 = ------------- x 1000 = 3000 1 – 2/3
  • 33. 1 1 K = ---------- = ----------- 1-m s The size of the multiplier depends on the size of the mpc or the mps
  • 34. Limiting case if mpc = 0 K=1 If mpc = 1 K = infinity
  • 35. Aggregate Demand Total amount of goods demanded in the economy. AD = C + I + G + (X-M) Equilibrium is achieved when Quantity supplied = quantity demanded Y = AD = C + I + G + (X-M)
  • 36. Diagrammatic representation AD=Y E1 AD Aggregate Demand ADo C E0 Yo Y1 Income
  • 37. Assumptions / Limitations Availability of consumer goods Maintenance of investment No change in mpc Existence of less than full employment
  • 38. Criticisms Prof Henry Hazlitt There is no precise, pre-determinable relationship between investment and income Assumes unemployment The propensity to consume assumes that what is not spent on consumption is not spent at all