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Life-Cycle
Consumption
Why so sensitive?
The Life-Cycle Permanent Income Hypothesis can be formulated so that
consumption in a given time period is expressed as a function of a
constant, consumption in the previous time period, and a disturbance
which is uncorrelated with the information known to the consumer in the
previous period. In particular, current consumption is not affected by
the expected value of disposable income (given the information available
in the previous time period).
Empirical investigations have found, however, that disposable income
does play a role in explaining consumption in equations in which
consumption is regressed on its own lagged value. This result has been
attributed to the absence of perfect credit markets, an assumption which
underlies the theory. If a consumer cannot borrow and lend at the same
interest rate whatever amount he needs to carry out his optimal
consumption plan, his desired consumption in some periods will be
constrained by current resources. If the `excess sensitivity' of
consumption to income stems from liquidity constraints, the implications
for fiscal policy can be important: the response of consumption to
transitory taxes and transfers will exceed that predicted by the theory,
allowing more scope for anti-cyclical fiscal policy. In Discussion Paper
No. 244, Tullio Jappelli and Research Fellow Marco Pagano
present new evidence on the causes of this excess sensitivity. If
liquidity constraints are indeed the source, one would expect the
departures from the predictions of the theory to be comparatively larger
in countries with more imperfect capital markets.
Jappelli and Pagano therefore estimate a model in which consumption
depends on its own lagged value and the current and lagged values of
disposable income. They use annual data for seven countries in which the
markets for consumer credit and mortgage loans are at varying stages of
development: Sweden, the United States, the United Kingdom, Japan,
Italy, Spain and Greece. The coefficient on the disposable income terms
in the equation represents the excess sensitivity of consumption to
income. It is significantly different from zero for all countries except
Sweden, and its magnitude varies widely across countries, attaining the
highest values for Italy, Spain and Greece, the lowest for Sweden and
the US, and intermediate ones for Japan and the UK.
The authors then compare the estimates of excess sensitivity to measures
of the outstanding stock of personal consumer loans and of housing
mortgages (relative to total consumption expenditure). The ranking of
countries by the sum of consumer debt and housing mortgages has an
almost exact relationship to that of excess sensitivity: the countries
where aggregate consumption exhibits more pronounced excess sensitivity
to current income are also those where consumers borrow less from
capital markets.
Differences in the amount of consumer debt could, however, be due to
variations in the propensity to borrow by households rather than to
rationing of the supply of credit. Jappelli and Pagano therefore provide
a more detailed analysis of the factors that affect the supply and
demand for consumer debt in the seven countries. They simulate the
amount of consumer debt that should be observed in each country if
capital markets were perfect, given the observed age structure and
earnings profile of the population. Jappelli and Pagano compare the
theoretical debt-consumption ratios from these simulations across
countries but find that age and earnings profiles do not explain the
observed borrowing patterns across countries.
Jappelli and Pagano conclude that there is no evidence of any demand
factor capable of explaining the large international differences in
consumer debt, and that pure rationing of the supply of credit can
account for such differences. The low levels of consumer debt observed
in countries where the excess sensitivity of consumption is high
therefore suggest that liquidity constraints are at the root of the
empirical failures of the life-cycle theory.
Consumption and Capital Market Imperfections: An International
Comparison Tullio Jappelli and Marco Pagano
Discussion Paper No. 244, June 1988 (IM/ATE)
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