The life-cycle hypothesis takes as its starting point
the assumption that in each period the individual or household chooses
its labour supply and commodity demands so as to maximize its lifetime
utility, subject to its stock of assets and the time available to the
household for work and leisure. Partly because of its importance for
policy analysis, the life-cycle model has served as a continuing focus
for applied research since it was first introduced by Modigliani and
Brumberg in 1955. If substitution between time periods is an important
aspect of household behaviour, static models or models with 'ad-hoc'
dynamics will provide inaccurate predictions of household behaviour and
of welfare changes.
The estimation of life-cycle models raises a variety of questions. Do we
possess appropriate data with which to estimate 'life-cycle-consistent'
models? Which model specification provides the least restrictive method
of recovering from a particular set of microdata the parameters of the
individual preferences which underlie the life-cycle model? In
Discussion Paper No. 150, Research Fellow Richard Blundell
surveys alternative approaches to the estimation of the life-cycle
model. He also discusses the advantages of particular types of microdata
in estimating the parameters of the life-cycle model and the econometric
approach best suited to particular types of data.
Under certain circumstances, the household's multiperiod decision can be
analysed in two stages. First, the household chooses its total
expenditure and hours worked in each time period so as to equalize the
marginal utility of wealth across all time periods; second, the
household decides how to allocate each period's total expenditure on
particular commodities. Blundell notes that when 'two-stage' budgeting
occurs, a single summary or 'conditioning' variable can capture the
effects of all the unobservable 'life- cycle' variables, which reflect
past decisions and future anticipations. Labour supply or commodity
demands, for example, can be expressed in terms of current-period
observable variables, such as wages and relative prices, and an
unobservable variable which summarizes the effects of other variables,
such as expected future income. Although this summary variable is
unobservable, it is constant across time, if perfect foresight is
assumed. The introduction of replanning and uncertainty simply adds an
'innovation' representing new information, so that the summary variable
follows a random walk.
Blundell characterizes alternative econometric approaches to the
estimation of life-cycle models by their choices for the summary
variable. Provided sufficiently strong assumptions are made, different
empirical specifications can be derived which are all consistent with
the same underlying life-cycle model. The summary variable can be chosen
so that many of the microdata sets traditionally used for estimating
static models can also be used for the estimation of models consistent
with the life-cycle hypothesis. The relationships between these
alternative representations of behaviour may then be exploited to
retrieve many important parameters of household preferences under
relatively unrestrictive assumptions.
The assumptions necessary to permit two-stage budgeting and the use of
summary variables rule out habit formation and the presence of
adjustment costs in household behaviour. Blundell considers tractable
empirical specifications which allow for such factors. If the prime
concern is to predict short-run behaviour from individual data in a
theoretically consistent fashion, then it may be unnecessary to model
habits and adjustment costs explicitly. It may be sufficient instead to
include in the model summary variables which incorporate the effects of
previous decisions. The detailed structure of family composition may,
for example, capture the important determinants of previous female
labour market behaviour. Inclusion of such observable variables may
eliminate the need for a model in which the dynamic effects of the past
enter explicitly.
Econometric Approaches to the Specification