Transcript Lecture 8

L11200 Introduction to Macroeconomics 2009/10
Lecture 8:
Markets, Prices, Supply and Demand I
Reading: Barro Ch.6
11 February 2010
Introduction
• Last time:
– Finished the Economic Growth topic by
considering ‘Long-Run Growth’
– Continuous technological progress most
convincing explanation for long-run growth
• Today
– Begin topic on fluctuations
– Set foundations for model of fluctuations
Fluctuations
• Why fluctuations matter
• Cyclical pattern in GDP growth matched by
cyclical pattern in:
– Employment, Unemployment and hours of work
– Consumption Spending and Investment
– Inflation and price movements
– Interest rates
– Government Spending and Debt
Modelling Fluctuations
• To model these we need a model in which
agents make choices over
– Hours of work, and work/non-work choice
– Consumption now versus saving for later
– Investing now versus taking profits
– Government spending and taxation
• So need model in which microeconomics of
consumers, firms and governments are joined
together
Basic Model Setup
• Basic element in the model is the ‘household’
– Owns a small business: uses capital and labour to
produce output
– Supplies labour (to itself, and maybe to others)
– Owns capital (and can also rent / lease capital)
– Earns profit, which it consumes / saves in bonds
• Assume households are price takers, i.e.
perfectly competitive markets
Perfect Competition
• So economy is populated by perfectly
competitive firms
– Implies profit will equal 0 in equilibrium
– Do not model monopolistically competitive /
monopoly / oligopoly firms in the economy (yet)
– But have now connected the firm to the
household: also a consumer and a supplier of
labour and an owner of capital.
Household Activities
• Households:
– Produce output via the production function
d
d
Y  A  f (K , L )
– They employ themselves and then hire extra
labour / sell their extra labour if they want to
– They own some capital K, and hire extra capital /
lease extra capital if they want to
– Initially assume that the supply of L and K is
perfectly inelastic: all labour and machines are
used all of the time (will relax this later)
Household Activities
• They use their profit + wage income + rental
income to:
– Consume: only non-durable goods consumed
– Invest: buy more capital for production
– Save: save their income in a risk-free bond (i.e. a
savings account)
– Return on bond = marginal product of capital.
Prices
• Households produce an output which can
either be invested, sold or consumed
– Each unit of output can be sold at a price P
– Value of consumption = C (number of units
consumed) x P (price per unit)
– Value of investment = K (number of units of
capital bought) x P (price per unit)
– So the price level P applies to both one unit of
consumption and one unit of capital
Household Income
• Income components: profit, wage, rent, return
on savings (income from bonds)
– Profit = income from sales – wage – rent
  PY  ( wLd  RK d )
  P( A  f ( K d , Ld )  (wLd  RK d )
– Wage wL
– Income from leasing capital: i  ( PK )
– Interest on savings (bonds): i  ( B )
Household Spending
• Spending: Consumption, Investment, Bonds
– Consumption: PC
– Investment in new Capital: P  K
– Investment in new bonds: B
– So if investment in new bonds is negative, the
household is spending their savings (i.e. B is
reduced to fund either consumption or buying
new capital)
– The value of bonds is a monetary value
Money Holding
• Missing element is ‘cash’ money
– Money in our economy is ‘paper money’: a
medium of exchange which can be used to buy
output, capital, bonds and pay wages (to labour)
and rent (to capital).
– Household money demand is constant (relax this
later)
– Total quantity of money is economy is constant
(relax this later)
Budget Constraint
• Now we can put together the household
budget constraint:
PC  B  P  K    wL  i  ( B  PK )
nominal consumption + nominal saving = nominal income
(price per unit of consumption x number of units consumed) + change in value of
bonds + new spending on capital = profit from the household business + wages
earned supplying labour to the household business or others + rent earned leasing
capital to the household business or others
What is this?
• A budget constraint is an accounting equation
which describes the limits of the household
activities:
– The right-hand side is income
– The left-hand side is spending (including spending
savings)
– So the two sides must match! This equation has to
balance each and every period
Budget Constraint in Real Terms
• To find budget constraint in real terms, divide
all nominal values by P:
C  (1/ P)  B  K   / P  ( w / P) L  i  ( B / P  K )
• This will become relevant when we consider
how changes in the money supply affect prices
• For the time being money supply is fixed.
Household Behaviour
• The budget constraint describes household
income / expenditures. Questions now are:
– How much does household choose to:
– Consume
– Save in bonds
– Invest in new capital
– Produce
– (note we assume L is fixed: household will always
work constant hours)
Summary
• Have built the basics of the macroeconomy
– Basic unit is the producing, consuming, labour
supply, capital holding, household
– Described the household activities and sources of
income / types of expenditure
• Next time: begin modelling behaviour
– Consider how much the household produces (and
so how much labour and capital they use)
– Then consider what they do with their income..