Key features of Keynes consumption and problems
Disposable income is main component
MPC=0-1
APC= the ratio of consumption to Y decreases as Y increases
Problems: keynes predicted C would grow more lowly than Y over time this did not come as APC did not fall
Irving and fisher intertemporal choice assumptions
consumers are forward looking and chooses consumption for the present and future to maximise lifetime satisfaction
Intertemporal budget constraint measure of total resources available to consumer overtime
derive Intertemporal budget constraint
L1
Draw an intemporal budget constraint
L2
What does 1+R represent intertemporal budget constraint
the relative price of consumption in terms of future consumption
What is an endowment point
it determines exogenous income at time t and time t+1
Draw an optimal choice on an intertemporal budget constraint
L2
Where is the optimal point on an intertemporal budget constraint
where the slope of the budget constraint= slope of indifference curve i.e. (1+r)=MRS ct,ct+1
What is the MRS of ct and ct+1
a rate at which a consumer is willing to give up future consumption to get a unit of current consumption is equal to the rate prevailing in the market.
Show a borrower on a intertemporal budget constraint
L2
Show the impact of a lender when interest rates increase intertemporal budget constraint diagram showing sub and income effect
L2
Substitution effect with relation to intertemporal budget constraint
Sub- change in consumption purely due to change in relative price of future consumption
Derive the Euler equation form current and future utility and the intertemporal budget constraint
L3
What is 1+Rt in the euler equation
The return on investment of of savings
What is beta in the euler equation
the level of impatience
what does the euler equation suggest
Euler equation suggests that households in equilibrium and maximise it’s utility smooth consumption so that when they get an additional unit of income they are indifferent between current and future consumption.
What does the Euler equation suggest will happen if interest increases
If interest rate increases then the left-hand side must also increase meaning current consumption is reduced saving for future consumption
Derive the consumption function from the euler equation and intertemporal budget constraint
L3
take derivatives of this consumption function with respect to current, future income and interest and state what these values mean
L3
A positive value means as you increase current income you increase current and future consumption.
The negative value for interest rate means that current consumption decreases as interest increases.
The life cycle hypothesis
Fishers model says that consumption depends on lifetime income and people try to achieve a smooth consumption pattern.
LCH says that income varies systematically over the phases of the consumes ‘life cycle’ and saving allows the consumer to achieve smooth consumption
Basic model of LCH
he basic model W= initial wealth Y= annual income until retirement (assumed constant) R= number of years until retirement T= lifetime in years
C = (W + RY )/T
Assumptions of LCH
zero interest rate and consumption smoothing is optimal
How can LCH solve the consumption puzzle
The APC implied by LCH= a(W/Y)+b
Across households wealth does not vary as much as income so high income households should have lower APC than low income households.
Over time aggregate wealth and income grow together causing APC to be consistent
Life cycle hypothesis implications
Impact of interest on wealth and therefore consumption
If households smooth consumption tcutting tax for one year would not stimulate consumption