“New Expenditure” has far-reaching effects on aggregate levels of income since “one man’s spending is another man’s income”. The Keynesian Theory of ” The The Multiplier Effect explains this.

  • Small changes in the Marginal Propensity have dramatic effects on the size of the multiplier.
  • The Multiplier effect is always >1 unless MPC = 0
  • The Multiplier Effect applies to any autonomous change in expenditure (G1 Government spending, investment, exports)

Example Economy

has three sectors, households, firms, and the financial sector. If this economy receives $10b investment in one industry;

  • Industry employees more people
  • Now employed households spend part of their income on goods & services including food, clothing, rent and entertainment.
  • This flows throughout the entire Circular Flow Of Income.

Multiplier

This flow of income throughout the economy is what we refer to as the multiplier. e.g. increase in investment of 25b, the multiplier is 2.5 since 10b.

Time PeriodY =C +S
1 (Initial Investment)106+4.00
263.602.40
33.602.161.44
42.161.300.86
Sum of periods
After periods

To find the multiplier we can take the total amount of income generated by the investment (After Time Periods | ) and divide it by the income the original investment introduced into the economy (Time Period 1 | ).

Methods of calculating the Multiplier (k)

Method 1

Missing \begin{aligned} or extra \end{aligned}\Delta Y \div \Delta I = k \\ 25 \div 10 = k \\ 2.5 =k \end{aligned}

Method 2 (and 2.5)

If you do not have the end result, you can also use the MPS [!question]

OR

  • The multiplier effect shows the effect of one persions spending on another’s income.
  • An initial investment $10b creates new income
  • Income that is spent creates new income for others in the following time period.
  • Follow-on income is partially saved, those spent produuces even more income in the following time period.

What if MPC increases?

An increase in Marginal Propensity to consume causes a reater “respending effect”. basically; the multiplier from a given investment would be higher the more we consume. e.g.

  • Small changes in the Marginal Propensity have dramatic effects on the size of the multiplier.
  • The Multiplier effect is always >1 unless MPC = 0
  • Marginal Propensity changes as a result of attitudes to spending and saving. It may change over time.
  • The MPC is an average across all households in the economy

Multiplier causes equilibrium income to increase greatly

  • At Equilibrium Savings & Investment are equal (60)
  • An increase in investment of 10 lifts up investment to point ()
  • function lifts up by as well, making it .
  • Since the function increases by equilibrium income moves right This diagram depicts the new equilibrium income, it will get there through “steps” towards equilibrium, each step to the right (increase in income) will come from a segment of the previous step’s induced income according to the MPC, e.g. Initially 6, then $3.6 and so on. This can be seen in the diagram below ceteris paribus it will aproach the new equilibrium income with every step.

Book Examples

The Multiplier process applies to any autonomous change in expenditure - which could be a change in investment, govenrment spending or exports. Examples include:

  • Resource projects in the Pilbara region of WA;
  • Government spending on new railways; or
  • the increase in the Jobseker allowance during the pandemic

It also applies to decreases in Autonomous spending like;

  • Closure of a bank in a rural town

These would all have a ripple effect on other services. e.g. for the closure of a local bank, bank employees move, causing supermarket turnover, cafe sales, doctors visits, etcetera, all to fall. On A larger scale;

both cause a fall in investment spending and a fall in GDP which would induce the multiplier negatively.

Other factors that influence Multiplier effect

The Multiplier in the Australian economy is on average between 1.5 and 2.5#econs-example